Abstract
W artykule przedstawiono przegląd modeli obliczeniowych stosowanych w analizie laminowanych powłok kompozytowych i sandwiczowych. W przeglądzie uwzględniono ponad 200 pozycji literatury traktujących o modelach teoretycznych dla płyt i powłok wielo-warstowych oraz/lub o implementacjach numerycznych różnych modeli obliczeniowych. Jako podstawową konkluzję z dokonanego przeglądu, należy uznać, że nie istnieje jeden uniwersalny model matematyczny zdolny do efektywnego reprezentowania ogółu konstrukcji warstwowych. Praktyczna przydatność różnych sformułowań teoretycznych zależy istotnie od specyfiki analizowanego problemu. Przy oczywistych ograniczeniach zdolności obliczeniowych, głównie natury sprzętowej i ekonomicznej, całkiem naturalnym zjawiskiem jest zauważalna tendencja do zmniejszania rzędu dokładności opisu deformacji profilu poprzecznego wraz ze wzrostem stopnia nieliniowości analizowanych zagadnień.
Citations
-
6 9
CrossRef
-
0
Web of Science
-
1 5 7
Scopus
Author (1)
Cite as
Full text
- Publication version
- Accepted or Published Version
- License
- open in new tab
Keywords
Details
- Category:
- Articles
- Type:
- publikacja w in. zagranicznym czasopiśmie naukowym (tylko język obcy)
- Published in:
-
CENTRAL EUROPEAN JOURNAL OF ENGINEERING
no. 1,
pages 59 - 80,
ISSN: 1896-1541 - Title of issue:
- Central European Journal of Engineering. strony 59 - 80
- Publication year:
- 2011
- Bibliographic description:
- Kreja I.. A literature review on computational models for laminated composite and sandwich panels. CENTRAL EUROPEAN JOURNAL OF ENGINEERING, 2011, Vol. 1, nr. 1, s.59-80
- DOI:
- Digital Object Identifier (open in new tab) 10.2478/s13531-011-0005-x
- Bibliography: test
-
- Pahr, D. H. & Rammerstorfer, F. G.: A fast multi-scale analyzing tool for the investigation of perforated laminates, Computers & Structures 82, 2004, 227-239. open in new tab
- Ladevéze, P.: Multiscale Modeling and Computational Strategies for Composites, WCCM V: Proceedings of the Fifth World Congress on Computational Mechanics, July 7-12, 2002, Vienna, Austria, H.A. Mang, F.G. Rammerstorfer & J. Eberhardsteiner (eds.), CD-ROM, Vienna 2002.
- Böhm, H. J. (Ed.): Mechanics of Microstructured Materials, CISM Courses and Lectures No. 464, Springer- Verlag, Vienna 2004. open in new tab
- Zhang, W. C. & Evans, K. E.: Numerical prediction of the mechanical properties of anisotropic composite materials, Computers & Structures 29, 1988, 413-422. open in new tab
- Noor, A. K. & Burton, W. S.: Assessment of computational models for multilayered composite shells, Applied Mechanics Reviews 43, 1990, 67-97. open in new tab
- Kulikov, G. M.: Non-linear analysis of multilayered shells under initial stress, Int. Journal of Non-Linear Mechanics 36, 2001, 323-334. open in new tab
- Carrera, E.: Developments, ideas, and evaluations based upon Reissner's Mixed Variational Theorem in the modeling of multilayered plates and shells, Applied Mechanics Reviews 54, 2001, 301-329. open in new tab
- Reddy, J. N.: On refined computational models of composite laminates, Int. Journal for Numerical Methods in Engineering 27, 1989, 361-382. open in new tab
- Rohwer, K., Friedrichs, S. & Wehmeyer, C.: Analyzing laminated structures from fibre-reinforced composite material -an assessment, Technische Mechanik 25, 2005, 59-79. open in new tab
- Başar, Y. & Ding, Y.: Interlaminar stress analysis of composites: layer-wise shell finite elements including transverse strains, Composites Engineering 5, 1995, 485-499. open in new tab
- Carrera, E.: An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates, Composite Structures 50, 2000, 183-198. open in new tab
- Carrera, E. & Demasi, L.: Classical and advanced multilayered plate elements based upon PVD and RMVT. Part 1: Derivation of finite element matrices, Int. Journal for Numerical Methods in Engineering 55, 2002, 191-231. open in new tab
- Carrera, E. & Demasi, L.: Classical and advanced multilayered plate elements based upon PVD and RMVT. Part 2: Numerical implementations, Int. Journal for Numerical Methods in Engineering 55, 2002, 253-291. open in new tab
- Chen, C.-M., Kikuchi, N. & Farzad R.-A.: An enhanced asymptotic homogenization method of the static and dynamics of elastic composite laminates, Computers & Structures 82, 2004, 373-382. open in new tab
- Lewiński, T.: On recent developments in the homogenization theory of elastic plates and their application to optimal design: Part I, Structural Optimization 6, 1993, 59-64. open in new tab
- Rabczuk, T., Kim, J. Y., Samaniego, E. & Belytschko, T.: Homogenization of sandwich structures, Int. Journal for Numerical Methods in Engineering 61, 2004, 1009-1027. open in new tab
- Tanov, R. & Tabiei, A.: A note on finite element implementation of sandwich shell homogenization, Int. Journal for Numerical Methods in Engineering 48, 2000, 467-473. open in new tab
- Ambartsumyan, S. A.: Theory of Anisotropic Plates, Technomic Publishing Co., Inc., Stamford, 1970.
- Sun, C.T. & Chin, H.: Analysis of asymmetric composite laminates, AIAA Journal 26, 1988, 714-718. open in new tab
- Saigal, S., Kapania, R. K. & Yang, T. Y.: Geometrically nonlinear finite element analysis of imperfect laminated shells, Journal Composite Materials 20, 1986, 197-214. open in new tab
- Whitney, J. M. & Pagano, N. J.: Shear deformation in heterogeneous anisotropic plates, Journal of Applied Mechanics, Trans. ASME 37, 1970, 1031-1036. open in new tab
- Dong, S. B. & Tso, F. K. W.: On a laminated orthotropic shell theory including transverse shear deformation, Journal of Applied Mechanics, Trans. ASME 39, 1972, 1091-1096. open in new tab
- Reddy, J. N. & Arciniega, R. A.: Shear deformation plate and shell theories: From Stavsky to Present, Mechanics of Advanced Materials and Structures 11, 2004, 535-582. open in new tab
- Ghugal, Y. M. & Shimpi, R. P.: A review of refined shear deformation theories of isotropic and anisotropic laminated plates, Journal of Reinforced Plastics and Composites 21, 2002, 775-813. open in new tab
- Reissner, E.: Small bending and stretching of sandwich-type shells, NACA Report No. 975, 1950, 483-508. open in new tab
- Chandrashekhara, K. & Pavan Kumar, D. V. T. G.: Assessment of shell theories for the static analysis of cross-ply laminated circular cylindrical shells, Thin-Walled Structures 22, 1995, 291-318. open in new tab
- Chandrashekhara, K. & Pavan Kumar, D. V. T. G.: Static response of composite circular cylindrical shells studied by different theories, Meccanica 33, 1998, 11-27. open in new tab
- Tarn, J.-Q. & Wang, Y.-B.: A refined asymptotic theory and computational model for multilayered composite plates, Computer Methods in Applied Mechanics & Engineering 145, 1997, 167-184. open in new tab
- Reddy, J. N. & Chandrashekhara, K.: Nonlinear analysis of laminated shells including transverse shear strains, AIAA Journal 23, 1985, 440-441. open in new tab
- Palmerio, A. F., Reddy, J. N. & Schmidt, R.: On a moderate rotation theory of elastic anisotropic shells -Part 1. Theory, Int. Journal of Non-Linear Mechanics 25, 1990, 687-700. open in new tab
- Kreja, I., Schmidt, R. & Reddy, J. N.: Finite elements based on a first-order shear deformation moderate rotation shell theory with applications to the analysis of composite structures, Int. Journal Non-Linear Mechanics 32, 1997, 1123-1142. open in new tab
- Whitney, J. M.: Shear correction factors for orthotropic laminates under static load, Journal of Applied Mechanics, Trans. ASME 40, 1973, 302-303. open in new tab
- Wittrick W. H.: Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin's plate theory, Int. Journal of Solids & Structures 23, 1987, 441-464. open in new tab
- Vlachoutsis, S.: Shear correction factors for plates and shells, Int. Journal for Numerical Methods in Engineering 33, 1992, 1537-1552. open in new tab
- Jemielita, G.: Coefficients of shear correction in transversely nonhomogeneous moderately thick plates, Journal of Theoretical and Applied Mechanics (Polish Society of Theoretical and Applied Mechanics) 40, 2002, 73-84.
- Noor, A. K. & Peters, J. M.: A posteriori estimates for shear correction factors in multilayered composite cylinders, Journal of Engineering Mechanics ASCE 115, 1988, 1225-1244. open in new tab
- Sze, K. Y., He, L.-W. & Cheung, Y. K.: Predictor-corrector procedures for analysis of laminated plates using standard Mindlin finite element models, Composite Structures 50, 2000, 171-182. open in new tab
- Auricchio, F. & Sacco, E.: Partial-mixed formulation and refined models for the analysis of composite laminates within an FSDT, Composite Structures 46, 1999, 103-113. open in new tab
- Auricchio, F. & Sacco, E.: A mixed-enhanced finite-element for the analysis of laminated composite plates, Int. Journal for Numerical Methods in Engineering 44, 1999, 1481-1504. open in new tab
- Pai, P. F.: A new look at shear correction factors and warping functions of anisotropic laminates, Int. Journal of Solids & Structures 32, 1995, 2295-2313. open in new tab
- Rolfes, R. & Rohwer, K.: Improved transverse shear stresses in composite finite elements based on First Order Shear Deformation Theory, Int. Journal for Numerical Methods in Engineering 40, 1997, 51-60. open in new tab
- MSC/NASTRAN Encyclopedia for Version 69, Mac Neal-Schwendler Corp., 1996.
- Altenbach, H.: An alternative determination of transverse shear stiffnesses for sandwich and laminated plates, Int. Journal of Solids & Structures 37, 2000, 3503-3520. open in new tab
- Tanov, R. & Tabiei, A.: A simple correction to the first-order shear deformation shell finite element formulations, Finite Elements in Analysis and Design 35, 2000, 189-197. open in new tab
- Reissner, E.: A consistent treatment of transverse shear deformations in laminated anisotropic plates, AIAA Journal 10, 1972, 716-718. open in new tab
- Fares, M. E. & Youssif, Y. G.: A refined equivalent single-layer model of geometrically non-linear doubly curved layered shells using mixed variational approach, Int. Journal Non-Linear Mechanics 36, 2001, 117-124. open in new tab
- Fares, M. E., Zenkour, A. M. & El-Marghany, M. Kh.: Non-linear thermal effects on the bending response of cross-ply laminated plates using refined first-order theory, Composite Structures 49, 2000, 257-267. open in new tab
- Auricchio, F. & Sacco, E.: Refined First-Order Shear Deformation Theory models for composite laminates, Journal of Applied Mechanics, Trans. ASME 70, 2003, 381-390. open in new tab
- Qi, Y., Knight Jr., N. F.: A refined first-order shear deformation theory and its justification by plane-strain bending problem of laminated plates, Int. Journal of Solids & Structures 33, 1996, 49-64. open in new tab
- Knight Jr., N. F. & Qi, Y.: On a consistent first-order shear deformation theory for laminated plates, Composites, Part B 28B, 1997, 397-405. open in new tab
- Reddy, J. N.: A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics, Trans. ASME 51, 1984, 745-752. open in new tab
- Khdeir, A. A., Reddy, J. N. & Librescu L.: Analytical solution of a refined shear deformation theory for rectangular composite plates, Int. Journal of Solids & Structures 23, 1987, 1447-1463. open in new tab
- Phan, N. D. & Reddy, J. N.: Analysis of laminated composite plates using a higher-order shear deformation theory, Int. Journal for Numerical Methods in Engineering 21, 1985, 2201-2219. open in new tab
- Reddy, J. N.: On the generalization of displacement-based laminate theories, Applied Mechanics Reviews 42, 1989, S213-S222. open in new tab
- Reddy, J. N. & Liu, C. F.: A higher-order shear deformation theory of laminated elastic shells, Int. Journal of Engineering Sciences 23, 1985, 669-683. open in new tab
- Bose, P. & Reddy, J. N.: Analysis of composite plates using various plate theories Part 1: Formulation and Analytical Solutions, Structural Engineering & Mechanics 6, 1998, 583-612. open in new tab
- Reddy, J. N.: A general non-linear third-order theory of plates with moderate thickness, Int. Journal of Non-Linear Mechanics 25, 1990, 677-686. open in new tab
- I.Kreja: Computational models of laminated composite and sandwich panels page 33 open in new tab
- Dennis, S. T.: A Galerkin solution to geometrically nonlinear laminated shallow shell equations, Computers & Structures 63, 1997, 859-874. open in new tab
- Simitses, G. J.: Buckling of moderately thick laminated cylindrical shells: A review, Composites Part B 27B, 1996, 581-587. open in new tab
- Başar, Y.: Finite-rotation theories for composite laminates, Acta Mechanica 98, 1993, 159-176. open in new tab
- Başar, Y., Ding, Y. & Schultz, R.: Refined shear-deformation models for composite laminates with finite rotations, Int. Journal of Solids & Structures 30, 1993, 2611-2638. open in new tab
- Balah, M. & Al-Ghamedy, H. N.: Finite element formulation of a third order laminated finite rotation shell element, Computers & Structures 80, 2002, 1975-1990. open in new tab
- Simo, J. C., Fox, D. D. & Rifai, M. S.: On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory, Computer Methods in Applied Mechanics & Engineering 79, 1990, 21-70. open in new tab
- Dennis, S. T. & Palazotto, A. N.: Transverse shear deformation in orthotropic cylindrical pressure vessels using a higher-order shear theory, AIAA Journal 27, 1989, 1441-1447. open in new tab
- Dennis, S. T. & Palazotto, A. N.: Large displacement and rotational formulation for laminated shells including parabolic transverse shear, Int. Journal of Non-Linear Mechanics 25, 1990, 67-85. open in new tab
- Naboulsi, S. K. & Palazotto, A. N.: Non-linear static-dynamic finite element formulation for composite shells, Int. Journal of Non-Linear Mechanics 38, 2003, 87-110. open in new tab
- Tsai, C. T., Palazotto, A. N. & Dennis, S. T.: Large-rotation snap-through buckling in laminated cylindrical panels, Finite Elements in Analysis and Design 9, 1991, 65-75. open in new tab
- Sacco, E. & Reddy, J.N.: On first-and second-order moderate rotation theories of laminated plates, Int. Journal for Numerical Methods in Engineering 33, 1992, 1-17. open in new tab
- Moita, J. S., Mota Soares, C. M. & Mota Soares, C. A.: Buckling behaviour of laminated composite structures using a discrete higher-order displacement model, Composite Structures 35, 1996, 75-92. open in new tab
- Piskunov, V. G.: An iterative analytical theory in the mechanics of layered composite systems, Mechanics of Composite Materials 39, 2003, 1-16. open in new tab
- Librescu, L.: Refined geometrically non-linear theories of anisotropic laminated shells, Quarterly of Applied Mathematics 45, 1987, 1-22. open in new tab
- Pagano, N. J. & Hatfield, S.J.: Elastic behavior of multilayered bidirectional composites, AIAA Journal 10, 1972, 931-933. open in new tab
- Brank, B.: On composite shell models with piecewise linear warping function, Composite Structures 59, 2003, 163- 171. open in new tab
- Brank, B. & Carrera, E.: A family of shear-deformable shell finite elements for composite structures, Computers & Structures 76, 2000, 287-297. open in new tab
- Brank, B. & Carrera, E.: Multilayered shell finite element with interlaminar continuous stresses: a refinement of the Reissner-Mindlin formulation, Int. Journal for Numerical Methods in Engineering 48, 2000, 843-874. open in new tab
- Carrera, E.: On the use of the Murakami's zig-zag function in the modeling of layered plates and shells, Computers & Structures 82, 2004, 541-554. open in new tab
- Carrera, E.: Historical review of zig-zag theories for multilayered plates and shells, Applied Mechanics Reviews 56, 2003, 287-308. open in new tab
- Schmidt, R. & Librescu, L.: Further results concerning the refined theory of anisotropic laminated composite plates, Journal of Engineering Mathematics 28, 1994, 407-425. open in new tab
- He, L.-H.: Non-linear theory of laminated shells accounting for continuity conditions of displacements and tractions at layer interfaces, Int. Journal of Mechanical Sciences 37, 1995, 161-173.
- Shu, X.-P.: A refined theory of laminated shells with higher-order transverse shear deformation, Int. Journal of Solids & Structures 34, 1997, 673-683. open in new tab
- Lee, K. H & Cao, L.: A predictor-corrector zig-zag model for the bending of laminated composite plates, Int. Journal of Solids & Structures 33, 1996, 879-897. open in new tab
- Soldatos, K. P. & Watson, P.: A method for improving the stress analysis performance of one-and two- dimensional theories for laminated composites, Acta Mechanica 123, 1997, 163-186. open in new tab
- Cho, M., Kim, K.-O. & Kim, M.-H.: Efficient higher-order shell theory for laminated composites, Composite Structures 34, 1996, 197-212. open in new tab
- Idibi, A, Karama, M, & Touratier, M.: Comparison of various laminated plate theories, Composite Structures 37, 1997, 173-184. open in new tab
- Fernandes, A.: A mixed formulation for elastic multilayer plates, Computes Rendus Mecanique 331, 2003, 337- 342. open in new tab
- Arya, H., Shimpi, R. P. & Naik, N. K.: A zigzag model for laminated composite beams, Composite Structures 56, 2002, 21-24. open in new tab
- Hassis, H.: A high-order theory for static-dynamic analysis of laminated plates using a special warping model, European Journal of Mechanics A / Solids 21, 2002, 323-332. open in new tab
- Sutyrin, V. G. & Hodges, D. H.: On asymptotically correct linear laminated plate theory, Int. Journal of Solids & Structures 33, 1996, 3649-3671. open in new tab
- Yu, W. & Hodges, D. H.: A geometrically nonlinear shear deformation theory for composite shells, Journal of Applied Mechanics, Trans. ASME 71, 2004, 1-9. open in new tab
- Yu, W., Hodges, D. H. & Volovoi, V. V.: Asymptotic generalization of Reissner-Mindlin theory: accurate three- dimensional recovery for composite shells, Computer Methods in Applied Mechanics & Engineering 191, 2002, 5087-5109. open in new tab
- Kim, J.-S. & Cho, M.: Enhanced First-Order Shear Deformation Theory for laminated and sandwich plates, Journal of Applied Mechanics, Trans. ASME 72, 2005, 809-817. open in new tab
- Ambartsumyan, S. A.: Contributions to the theory of anisotropic layered shells, Applied Mechanics Reviews 15, 1962, 245-249. open in new tab
- Habip, L. M.: A survey of modern developments in the analysis of sandwich structures, Applied Mechanics Reviews 18, 1965, 93-98.
- Mau, S. T.: A refined laminated plate theory, Journal of Applied Mechanics, Trans. ASME 40, 1973, 606-607. open in new tab
- Pagano, N. J.: Stress fields in composite laminates, Int. Journal of Solids & Structures 14, 1978, 385-400. open in new tab
- Mawenya, A. S. & Davies, J. D.: Finite element bending analysis of multilayer plates, Int. Journal for Numerical Methods in Engineering 8, 1974, 215-225. open in new tab
- Chaudhuri, R. A. & Seide, P.: An approximate method for prediction of transverse shear stresses in a laminated shell, Int. Journal of Solids & Structures 23, 1987, 1145-1161. open in new tab
- Chaudhuri, R. A.: Analysis of laminated shear-flexible angle-ply plates, Composite Structures 67, 2005, 71-84. open in new tab
- Noor, A. K., Burton, W. S. & Peters, J. M.: Assessment of computational models for multilayered composite cylinders, Int. Journal of Solids & Structures 27, 1991, 1269-1286. open in new tab
- Huttelmaier, H. P. & Epstein, M.: A finite element formulation for multilayered and thick shells, Computers & Structures 21, 1985, 1181-1185. open in new tab
- Masud, A. & Panahandeh, M.: Finite-Element Formulation for Analysis of Laminated Composites, Journal of Engineering Mechanics ASCE 125, 1999, 1115-1124. open in new tab
- Pinsky, P. M. & Kim, K. O.: A multi-director formulation for nonlinear elastic-viscoelastic layered shells, Computers & Structures 24, 1986, 901-913. open in new tab
- Krätzig, W. B. & Jun, D.: On 'best' shell models -From classical shells, degenerated and multi-layered concepts to 3D, Archive of Applied Mechanics 73, 2003, 1-25. open in new tab
- Naghdi, P. M.: Finite deformations of elastic rods and shells, Finite Elasticity, Proceedings of the IUTAM Symposium, Lehigh University, Bethlehem, PA, USA, August 10-15, 1980, D.E. Carlson & R. T. Shield (eds.), Martinus Nijhoff Publishers, The Hague/Boston/London, 1982, 47-103. open in new tab
- Cho, Y.B. & Averill, R.C.: First-order zig-zag sublaminate plate theory and finite element model for laminated composite and sandwich panels, Composite Structures 50, 2000, 1-15. open in new tab
- Barbero, E. J., Reddy, J. N. & Teply, J.: An accurate determination of stresses in thick laminates using a generalized plate theory, Int. Journal for Numerical Methods in Engineering 29, 1990, 1-14. open in new tab
- Gaudenzi, P., Barboni, R. & Mannini, A.: A finite element evaluation of single-layer and multi-layer theories for the analysis of laminated plates, Composite Structures 30, 1995, 427-440. open in new tab
- Carrera, E.: Mixed layer-wise models for multilayered plates analysis, Composite Structures 43, 1998, 57-70. open in new tab
- Vu-Quoc, L., Deng, H. & Tan, X. G.: Geometrically-exact sandwich shells: The static case, Computer Methods in Applied Mechanics & Engineering 189, 2000, 167-203. open in new tab
- Gruttmann, F. & Wagner, W.: Coupling of 2D-and 3D-composite shell elements in linear and nonlinear applications, Computer Methods in Applied Mechanics & Engineering 129, 1996, 271-287. open in new tab
- Williams, T. O. & Addessio, F. L.: A general theory for laminated plates with delaminations, Int. Journal of Solids & Structures 34, 1997, 2003-2024. open in new tab
- Li, X. & Liu, D.: Generalized laminate theories based on double superposition hypothesis, Int. Journal for Numerical Methods in Engineering 40, 1997, 1197-1212. open in new tab
- Pagano, N.J.: Exact Solutions for Composite Laminates in Cylindrical Bending, Journal of Composite Materials 3, 1969, 389-411 open in new tab
- Pagano, N.J.: Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates, Journal of Composite Materials 4, 1970, 20-34. open in new tab
- Pagano, N. J.: Free edge stress fields in composite laminates, Int. Journal of Solids & Structures 14, 1978, 401-406. open in new tab
- Bogdanovich, A.E. & Yushanov, S.P.: Three-dimensional variational analysis of Pagano's problems for laminated composite plates, Composites Science & Technology 60, 2000, 2407-2425. open in new tab
- Desai, Y. M., Ramtekkar, G. S. & Shah, A. H.: A novel 3D mixed finite-element model for statics of angle-ply laminates, Int. Journal for Numerical Methods in Engineering 57, 2003, 1695-1716. open in new tab
- Feng, W. & Hoa, S. V.: Partial hybrid finite elements for composite laminates, Finite Elements in Analysis and Design 30, 1998, 365-382. open in new tab
- Kong, J. & Cheung, Y.K.: Three-dimensional finite element analysis of thick laminated plates, Computers & Structures 57, 1995, 1051-1062. open in new tab
- Yu, G., Guang-Yau, T., Chaturvedi, S., Adeli, H. & Shao, Q.Z.: A finite element approach to global-local modeling in composite laminate analysis, Computers & Structures 57, 1995, 1035-1044. open in new tab
- Cen, S., Yuqiu Long, Y. & Yao, Z.: A new hybrid-enhanced displacement-based element for the analysis of laminated composite plates, Computers & Structures 80, 2002, 819-833. open in new tab
- Hossain, S. J., Sinha, P. K. & Sheikh, A. H.: A finite element formulation for the analysis of laminated composite shells, Computers & Structures 82, 2004, 1623-1638. open in new tab
- Alfano, G., Auricchio, F., Rosati, L. & Sacco, E.: MITC finite elements for laminated composite plates, Int. Journal for Numerical Methods in Engineering 50, 2001, 707-738. open in new tab
- Carrera, E.: A priori vs. a posteriori evaluation of transverse stresses in multilayered orthotropic plates, Composite Structures 48, 2000, 245-260. open in new tab
- Das, M., Barut, A., Madenci, E. & Ambur, D.R.: Complete stress field in sandwich panels with a new triangular finite element of single-layer theory, Computer Methods in Applied Mechanics & Engineering 194, 2005, 2969- 3005. open in new tab
- Cho, M. & Kim, M.-H.: A postprocess method using a displacement field of higher-order shell theory, Composite Structures 34, 1996, 185-196. open in new tab
- Cho, M. & Kim, J.-S.: A postprocess method for laminated shells with a doubly curved nine-noded finite element, Composites, Part B 31, 2000, 65-74. open in new tab
- Wisniewski, K. & Schrefler, B.A.: On recovery of stresses for a multi-layered beam element, Engineering Computations 10, 1993, 563-569. open in new tab
- Park, B. C., Park, J. W. & Kim, Y. H.: Stress recovery in laminated composite and sandwich panels undergoing finite rotation, Composite Structures 59, 2003, 227-235. open in new tab
- Kant, T. & Swaminathan, K.: Estimation of transverse/interlaminar stresses in laminated composites -a selective review and survey of current developments, Composite Structures 49, 2000, 65-75. open in new tab
- Hoff, N. J.: Bending and Buckling of Rectangular Sandwich Plates, NACA TN No. 2225, Washington 1950.
- Schmit Jr., L.A. & Monforton, G.R.: Finite deflection Discrete Element Analysis of sandwich plates and cylindrical shells with laminated faces, AIAA Journal 8, 1970, 1454-1461. open in new tab
- Lewiński, T.: On displacement-based theories of sandwich plates with soft core, Journal of Engineering Mathematics 25, 1991, 223-241. open in new tab
- Malcolm, D. J. & Glockner, P. G.: Nonlinear sandwich shell and Cosserat surface theory, Journal of Engineering Mechanics ASCE 98, 1972, 1183-1203.
- Glockner, P. G. & Malcolm, D. J.: Lagrangian formulation of sandwich shell theory, Journal of Engineering Mechanics ASCE 99, 1973, 445-456.
- Borsellino, C., Calabrese, L. & Valenza, A.: Experimental and numerical evaluation of sandwich composite structures, Composites Science & Technology 64, 2004, 1709-1715. open in new tab
- Burton, W. S. & Noor, A. K.: Assessment of computational models for sandwich panels and shells, Computer Methods in Applied Mechanics & Engineering 124, 1995, 125-151. open in new tab
- Nettles, A.T.: Basic Mechanics of Laminated Composite Plates, NASA RP-1351, MSFC, Alabama 1994.
- Stockton, S. L.: Engineering and Design: Composite Materials for Civil Engineering Structures, Technical Letter No. 1110-2-548, U.S. Army Corps of Engineers Washington, DC 1997.
- Hu, H.-T.: Buckling analyses of fiber-composite laminate plates with material nonlinearity, Finite Elements in Analysis & Design 19, 1995, 169-179. open in new tab
- Pai, P. F. & Palazotto, A. N.: Nonlinear displacement based finite element analysis of composite shells -A new total Lagrangian formulation, Int. Journal of Solids & Structures 32, 1995, 3047-3073. open in new tab
- Wisnom, M. R.: The effect of fibre rotation in ± 45º tension tests on measured shear properties, Composites 26, 1995, 25-32. open in new tab
- Abu-Farsakh, G.A., Barakat, S.A. & Al-Zoubi, N.R.: Effect of material nonlinearity in unidirectional composites on the behavior of beam structures, Int. Journal of Solids & Structures 37, 2000, 2673-2694. open in new tab
- Woo, K. S., Hong, C. H. & Basu, P. K.: Materially and geometrically nonlinear analysis of laminated anisotropic plates by p-version of FEM, Computers & Structures 81, 2003, 1653-1662. open in new tab
- Kennedy, T.C.: Nonlinear viscoelastic analysis of composite plates and shells, Composite Structures 41, 1998, 265- 272. open in new tab
- Kłosowski, P. & Woźnica, K.: Numerical treatment of elasto viscoplastic shells in the range of moderate and large rotations, Computational Mechanics 34, 2004, 194-212. open in new tab
- Dvorak, G. J.: Composite materials: Inelastic behavior, damage, fatigue and fracture, Int. Journal of Solids & Structures 37, 2000, 155-170. open in new tab
- Reddy, J. N.: Analysis of layered composite plates accounting for large deflections and transverse shear strains, Recent Advances in Nonlinear Computational Mechanics, E. Hinton, D. R. J. Owen & C. Taylor (eds.), Pineridge Press Ltd, Swansea 1982, 155-202.
- Carvelli, V. & Savoia, M.: Assessment of plate theories for multilayered angle-ply plates, Composite Structures 39, 1997, 197-207. open in new tab
- Jaunky, N. & Knight Jr., N.F.: An assessment of shell theories for buckling of circular cylindrical laminated composite panels loaded in axial compression, Int. Journal of Solids and Structures 36, 1999, 3799-3820. open in new tab
- Ferreira, A. J. M. & Fernandes, A. A.: A review of numerical methods for the analysis of composite and sandwich structures, Multimaterials Technologies -Solutions and Opportunities, DOGMA Conference in Utrecht, 24-25 October 2000, 71-76.
- Toorani, M. H. & Lakis, A. A.: General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects, Journal of Sound and Vibration 237, 2000, 561-615. open in new tab
- Altenbach, J. & Altenbach, H.: Trends in engineering plate theories, Maintenance & Reliability, Polish Academy of Sciences Quarterly 4/2001, 2001, 21-30.
- Piskunov, V. G. & Rasskazov, A. O.: Evolution of the theory of laminated plates and shells, Int. Applied Mechanics (Plenum Publ. Corp.) 38, 2002, 135-166. open in new tab
- Qatu M. S.: Recent research advances in the dynamic behavior of shells: 1989-2000, Part 1: Laminated composite shells, Applied Mechanics Reviews 55, 2002, 325-350. open in new tab
- Reddy, J. N.: Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons, Ltd., New York 2002.
- Palmerio, A. F., Reddy, J. N. & Schmidt, R.: On a moderate rotation theory of elastic anisotropic shells -Part 2. FE analysis, Int. Journal of Non-Linear Mechanics 25, 1990, 701-714. open in new tab
- Kreja, I. & Schmidt, R.: Moderate Rotation Shell Theory in FEM application, Proceedings of Gdansk University of Technology Civil Eng series LI.1995, 229-249. open in new tab
- Panda, S. C. & Natarajan, R.: Finite element analysis of laminated composite plates, Int. Journal of Non-Linear Mechanics 14, 1979, 69-79. open in new tab
- Chang, T. Y. & Sawamiphakdi, K.: Large deformation analysis of laminated shells by finite element method, Computers & Structures 13, 1981, 331-340. open in new tab
- Jun, S. M. & Hong, C. S.: Buckling behavior of laminated composite cylindrical panels under axial compression, Computers & Structures 29, 1988, 479-490. open in new tab
- Kweon, J. H. & Hong, C. S.: An improved arc-length method for postbuckling analysis of composite cylindrical panels, Computers & Structures 53, 1994, 541-549. open in new tab
- Wagner W.: Zur Formulierung eines geometrisch nichtlinearen Finite Elementes für zylindrische Faserverbundschalen (On formulation of geometrically nonlinear finite elements for fiber reinforced cylindrical shells) (in German), Statik und Dynamik in Konstruktiven Ingenieurbau, Festschrift Wilfried B. Krätzig, SFB 151 - Berichte nr 23, 1992, B3-B10.
- Ferreira, A. J. M. & Barbosa, J. T.: Buckling behaviour of composite shells, Composite Structures 50, 2000, 93-98. open in new tab
- Laschet, G. & Jeusette, J.-P.: Postbuckling finite element analysis of composite panels, Composite Structures 14, 1990, 35-48. open in new tab
- Rikards, R., Chate, A. & Ozolinsh, O.: Analysis for buckling and vibrations of composite stiffened shells and plates, Composite Structures 51, 2001, 361-370. open in new tab
- Haas, D. J. & Lee, W.: A nine-node assumed-strain finite element for composite plates and shells, Computers & Structures 26, 1987, 445-452. open in new tab
- Somashekar, B.R., Prathap, G. & Ramesh Babu, C.: A field-consistent four noded laminated anisotropic plate/shell element, Computers & Structures 25, 1987, 345-353. open in new tab
- Groenwold, A. & Stander, N.: A 24 d.o.f. four-node flat shell finite element for general unsymmetric orthotropic layered composites, Engineering Computations 15, 1998, 518-543. open in new tab
- Dorninger, K.: Computational analysis of composite shells at large deformations, Computer Aided Design in Composite Material Technology, Proceedings of the Int. Conf. Southampton, 1988, C. A. Brebbia, W. P. de Wilde & W. R. Blain (eds.), Springer-Verlag, Berlin 1988, 7/66-7/75. open in new tab
- Dorninger, K. & Rammerstorfer, F. G.: A layered composite shell element for elastic and thermoelastic stress and stability analysis at large deformations; Int. Journal for Numerical Methods in Engineering 30, 1990, 833-858. open in new tab
- Ramm, E.: A plate/shell element for large deflections and rotations, Proceedings of US-Germany Symp., MIT Boston, August 1976, 264-293.
- Brank, B., Perić, D. & Damjanić, F. B.: On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells, Computational Mechanics 16, 1995, 341-359. open in new tab
- Kreja, I.: Critical examination of benchmark problems for large rotation analysis of laminated shells, Shell Structures: Theory and Applications, Proc. the 8 th Conf. SSTA, Gdańsk -Jurata, 12-14 October 2005, W. Pietraszkiewicz & C. Szymczak (eds.), Taylor & Francis Group, London 2006, 481-485. open in new tab
- Kreja, I. & Schmidt, R.: Large rotations in First Order Shear Deformation FE analysis of laminated shells, Int. Journal Non-Linear Mechanics 41, 2006, 101-123. open in new tab
- Kim, K. D.: Buckling behaviour of composite panels using the finite element method, Composite Structures 36, 1996, 33-43. open in new tab
- Kim, K. D. & Voyiadjis, G.Z.: Non-linear finite element analysis of composite panels, Composites, Part B 30, 1999, 365-381. open in new tab
- Kim, K. D. & Park, T. H.: An 8-node assumed strain element with explicit integration for isotropic and laminated composite shells, Structural Engineering & Mechanics 13, 2002, 387-410. open in new tab
- Kim, K. D., Lomboy, G. R. & Han, S. C.: A co-rotational 8-node assumed strain shell element for postbuckling analysis of laminated composite plates and shells, Computational Mechanics 30, 2003, 330-342. open in new tab
- Kim, K.-D., Han, S.-D. and Suthasupradit, S.: Geometrically non-linear analysis of laminated composite structures using a 4-node co-rotational shell element with enhanced strains, International Journal of Non-Linear Mechanics 42, 2007, 864 -881. open in new tab
- Barut, A., Madenci, E. & Tessler, A.: Nonlinear analysis of laminates through a Mindlin-type shear deformable shallow shell element, Computer Methods in Applied Mechanics & Engineering 143, 1997, 155-173. deformation analysis of laminated composite plates and shells, Structural Engineering and Mechanics 18, 2004, 807-829. open in new tab
- Han, S.-D., Tabiei, A. & Park W.-T.: Geometrically nonlinear analysis of laminated composite thin shells using a modied First-order shear deformable element-based Lagrangian shell element, Composite Structures 82, 2008, 465-474. open in new tab
- Pai, P. F.: Total-Lagrangian formulation and finite-element analysis of highly flexible plates and shells, Mathematics and Mechanics of Solids 12, 2007, 213-250. open in new tab
- Arciniega, R.A. & Reddy, J.N.: Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures, Computer Methods in Applied Mechanics and Engineering 196, 2007, 1048-1073. open in new tab
- Hashagen, E., Schellekens, J. C. J., de Borst, R. & Parisch, H.: Finite element procedure for modelling fibre metal laminates, Composite Structures 32, 1995, 255-264. open in new tab
- Parisch, H.: A continuum-based shell theory for non-linear applications, Int. Journal for Numerical Methods in Engineering 38, 1995, 1855-1883. open in new tab
- Kulikov, G. M. & Plotnikova, S. V.: Simple and effective elements based upon Timoshenko-Mindlin shell theory, Computer Methods in Applied Mechanics & Engineering 191, 2002, 1173-1187. open in new tab
- Kulikov, G. M. & Plotnikova, S. V.: Non-linear strain-displacement equations exactly representing large rigid- body motions. Part I: Timoshenko-Mindlin shell theory, Computer Methods in Applied Mechanics & Engineering 192, 2003, 851-875. open in new tab
- Zhang, Y.X. & Kim K.S.: Two simple and efficient displacement-based quadrilateral plate elements for the analysis of composite laminated plates, Int. Journal for Numerical Methods in Engineering 61, 2004, 1771-1796. open in new tab
- Sze, K. Y., Yao, L.-Q. & Pian, T.H.H.: An eighteen-node hybrid-stress solid-shell element for homogenous and laminated structures, Finite Elements in Analysis & Design 38, 2002, 353-374. open in new tab
- Sze, K. Y. & Zheng, S.-J.: A stabilized hybrid-stress solid element for geometrically nonlinear homogeneous and laminated shell analyses, Computer Methods in Applied Mechanics & Engineering 191, 2002, 1945-1966. open in new tab
- Bose, P. & Reddy, J. N.: Analysis of composite plates using various plate theories Part 2: Finite element model and numerical results, Structural Engineering & Mechanics 6, 1998, 727-746. open in new tab
- Chaplin, C. P. & Palazotto, A. N.: The collapse of composite cylindrical panels with various thickness using Finite Element Analysis, Computers & Structures 60, 1996, 797-815. open in new tab
- Carrera, E.: C z 0 requirements-models for the two dimensional analysis of multilayered structures, Composite Structures 37, 1997, 373-383. open in new tab
- Carrera, E. & Parisch, H.: An evaluation of geometrical nonlinear effects of thin and moderately thick multilayered composite shells, Composite Structures 40, 1998, 11-24. open in new tab
- Parisch, H.: An investigation of a finite rotation four node assumed strain shell element, Int. Journal for Numerical Methods in Engineering 31, 1991, 127-150. open in new tab
- Rammerstorfer, F. G., Dorninger, K. & Starlinger, A.: Composite and sandwich shells, in Nonlinear Analysis of Shells by Finite Elements, Rammerstorfer, F. G. (ed.), CISM Courses and Lectures No. 328, Springer-Verlag, Vienna -New York 1992, 131-194. open in new tab
- Vu-Quoc, L. & Tan, X.G.: Optimal solid shells for non-linear analyses of multilayer composites. I. Statics, Computer Methods in Applied Mechanics & Engineering 192, 2003, 975-1016. open in new tab
- Kulikov, G. M. & Plotnikova, S. V.: Equivalent Single-Layer and Layerwise Shell Theories and Rigid-Body Motions-Part I: Foundations, Mechanics of Advanced Materials & Structures 12, 2005, 275-283. open in new tab
- Kulikov, G. M. & Plotnikova, S. V.: Equivalent Single-Layer and Layerwise Shell Theories and Rigid-Body Motions-Part II: Computational Aspects, Mechanics of Advanced Materials & Structures 12, 2005, 331-340. open in new tab
- Dakshina Moorthy, C. M. & Reddy, J. N.: Modelling of laminates using a layerwise element with enhanced strains, Int. Journal for Numerical Methods in Engineering 43, 1998, 755-779.
- Rammerstorfer, F. G., Dorninger, K., Starlinger, A., Skrna-Jakl, I. C.: Computational methods in composite analysis and design, in [190], 1994, 209-231. open in new tab
- Crisfield, M.A., Jelenic, G., Mi, Y., Zhong, H.-G. & Fan, Z.: Some aspects of the non-linear finite element method, Finite Elements in Analysis & Design 27, 1997, 19-40. open in new tab
- Aitharaju, V. R. & Averill, R. C.: C 0 zigzag kinematic displacement models for the analysis of laminated composites, Mechanics of Composite Materials & Structures 6, 1999, 31-56. open in new tab
- Marcinowski, J.: Geometrically nonlinear static analysis of sandwich plates and shells, Journal of Theoretical and Applied Mechanics (Polish Society of Theoretical and Applied Mechanics) 41, 2003, 561-574.
- Ali, R.: Use of finite element technique for the analysis of composite structures, Computers & Structures 58, 1996, 1015-1023. open in new tab
- Sze, K. Y., Liu, X. H. & Lo, S. H.: Popular benchmark problems for geometric nonlinear analysis of shells, Finite Elements in Analysis and Design 40, 2004, 1551-1569. open in new tab
- Verified by:
- Gdańsk University of Technology
seen 177 times
Recommended for you
Method for improving multibeam sonar bearing accuracy
- W. Leśniak,
- J. Marszal,
- R. Salamon
- + 2 authors