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Articles

Type:

artykuł w czasopiśmie wyróżnionym w JCR

Published in:

CONTINUUM MECHANICS AND THERMODYNAMICS no. 31, pages 851 - 884,
ISSN: 0935-1175

Language:

English

Publication year:

2018

Bibliographic description:

Dell'Isola F., Seppecher P., Alibert J., Lekszycki T., Roman G., Pawlikowski M., Steigmann D., Giorgio I., Andreaus U., Turco E., Gołaszewski M., Rizzi N., Boutin C., Eremeev V., Misra A., Placidi L., Barchiesi E., Greco L., Cuomo M., Antonio A., Della Corte A., Battista A., Scerrato D., Eremeeva I., Rahali Y., Ganghoffer J., Müller W., Ganzosch G., Spagnuolo M., Pfaff A., Barcz K., Hoschke K., Neggers J., Hild F.: Pantographic metamaterials: an example of mathematically driven design and of its technological challenges// CONTINUUM MECHANICS AND THERMODYNAMICS. -Vol. 31, (2018), s.851-884

DOI:

Digital Object Identifier (open in new tab) 10.1007/s00161-018-0689-8

Bibliography: test

1. F. dell'Isola, D. Steigmann, and A. Della Corte. Synthesis of brous complex structures: Designing microstruc- ture to deliver targeted macroscale response. Applied Mechanics Reviews, 67(6):060804, 2015.
2. Graeme Milton, Marc Briane, and Davit Harutyunyan. On the possible eective elasticity tensors of 2- dimensional and 3-dimensional printed materials. Mathematics and Mechanics of Complex Systems, 5(1):41 94, 2017. open in new tab
3. Victor A Eremeyev and Wojciech Pietraszkiewicz. Material symmetry group and constitutive equations of micropolar anisotropic elastic solids. Mathematics and Mechanics of Solids, 21(2):210221, 2016.
4. Albrecht Bertram and Rainer Glüge. Gradient materials with internal constraints. Mathematics and Me- chanics of Complex Systems, 4(1):115, 2016. open in new tab
5. Lucio Russo. The forgotten revolution: how science was born in 300 BC and why it had to be reborn. Springer Science & Business Media, 2013.
6. Stephen M Stigler. Stigler's law of eponymy. Transactions of the New York Academy of Sciences, 39(1 Series II):147157, 1980.
7. F. dell'Isola, U. Andreaus, and L. Placidi. At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20(8):887928, 2015.
8. F. dell'Isola, A. Della Corte, and I. Giorgio. Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics of Solids, 22(4):852872, 2017.
9. D. Del Vescovo and I. Giorgio. Dynamic problems for metamaterials: review of existing models and ideas for further research. International Journal of Engineering Science, 80:153172, 2014.
10. F. dell'Isola, T. Lekszycki, M. Pawlikowski, R. Grygoruk, and L. Greco. Designing a light fabric metamaterial being highly macroscopically tough under directional extension: rst experimental evidence. Zeitschrift für angewandte Mathematik und Physik, 66:34733498, 2015.
11. J-J. Alibert, P. Seppecher, and F. dell'Isola. Truss modular beams with deformation energy depending on higher displacement gradients. Mathematics and Mechanics of Solids, 8(1):5173, 2003. open in new tab
12. Catherine Pideri and Pierre Seppecher. A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium. Continuum Mechanics and Thermodynamics, 9(5):241257, 1997. open in new tab
13. F. dell'Isola, I. Giorgio, M. Pawlikowski, and N. Rizzi. Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium. Proc. R. Soc. A, 472(2185):23 pages, 2016.
14. F. dell Isola, P. Seppecher, and A. Della Corte. The postulations á la d alembert and á la cauchy for higher gradient continuum theories are equivalent: a review of existing results. In Proc. R. Soc. A, volume 471, page 20150415. The Royal Society, 2015.
15. N. Auray, F. dell'Isola, V. Eremeyev, A. Madeo, and G. Rosi. Analytical continuum mechanics à la Hamilton Piola least action principle for second gradient continua and capillary uids. Mathematics and Mechanics of Solids, 20(4):375417, 2015. open in new tab
16. H. Altenbach and V. Eremeyev. On the linear theory of micropolar plates. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 89(4):242256, 2009. open in new tab
17. W. Pietraszkiewicz and V. Eremeyev. On natural strain measures of the non-linear micropolar continuum. International Journal of Solids and Structures, 46(3):774787, 2009. open in new tab
18. Y. Rahali, I. Giorgio, J.F. Ganghoer, and F. dell'Isola. Homogenization à la piola produces second gradient continuum models for linear pantographic lattices. International Journal of Engineering Science, 97:148172, 2015. open in new tab
19. A. Bilotta, G. Formica, and E. Turco. Performance of a high-continuity nite element in three-dimensional elasticity. International Journal for Numerical Methods in Biomedical Engineering, 26(9):11551175, 2010. open in new tab
20. A. Cazzani, M. Malagù, and E. Turco. Isogeometric analysis: a powerful numerical tool for the elastic analysis of historical masonry arches. Continuum Mechanics and Thermodynamics, 28(1-2):139156, 2016. open in new tab
21. M de Saint-Venant. Mémoire sur la torsion des prismes: avec des considérations sur leur exion ainsi que sur l'équilibre intérieur des solides élastiques en général: et des formules pratiques pour le calcul de leur résistance à divers eorts s' exerçant simultanément. Imprimerie nationale, 1856.
22. RD Mindlin and HF Tiersten. Eects of couple-stresses in linear elasticity. Archive for Rational Mechanics and analysis, 11(1):415448, 1962. open in new tab
23. OW Dillon and P Perzyna. Gradient theory of materials with memory and internal changes. ARCHIVES OF MECHANICS, 24(5-6):727747, 1972.
24. H Abdoul-Anziz and Pierre Seppecher. Strain gradient and generalized continua obtained by homogenizing frame lattices. 2017.
25. Emilio Turco, Ivan Giorgio, Anil Misra, and Francesco dell'Isola. King post truss as a motif for internal structure of (meta) material with controlled elastic properties. Open Science, 4(10):171153, 2017. open in new tab
26. G.C. Everstine and A.C. Pipkin. Boundary layers in ber-reinforced materials. J. Appl. Mech., 40:518522, 1973. Pantographic metamaterials 39 open in new tab
27. M.G. Hilgers and A.C. Pipkin. Elastic sheets with bending stiness. Q. J. Mech. Appl. Math., 45:5775, 1992. open in new tab
28. M.G. Hilgers and A.C. Pipkin. Energy-minimizing deformations of elastic sheets with bending stiness. J. Elast., 31:125139, 1993. open in new tab
29. M.G. Hilgers and A.C. Pipkin. Bending energy of highly elastic membranes ii. Q. Appl. Math, 54:307316, 1996. open in new tab
30. M.Z. Hu, H. Kolsky, and A.C. Pipkin. Bending theory for ber-reinforced beams. J. Compos. Mater, pages 235249, 1985. open in new tab
31. A.C. Pipkin. Generalized plane deformations of ideal ber-reinforced materials. Q. Appl. Math, 32:253263, 1974. open in new tab
32. A.C. Pipkin. Energy changes in ideal ber-reinforced composites. Q. Appl. Math, 35:455463, 1978. open in new tab
33. A.C. Pipkin. Some developments in the theory of inextensible networks. Q. Appl. Math, 38:343355, 1980. open in new tab
34. F. dell'Isola, M.V. d'Agostino, A. Madeo, P. Boisse, and D. Steigmann. Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible bers: the case of standard bias extension test. Journal of Elasticity, 122(2):131155, 2016.
35. L. Placidi, L. Greco, S. Bucci, E. Turco, and N.L. Rizzi. A second gradient formulation for a 2d fabric sheet with inextensible bres. Zeitschrift für angewandte Mathematik und Physik, 67(5)(114), 2016. open in new tab
36. RS Rivlin. Plane strain of a net formed by inextensible cords. In Collected Papers of RS Rivlin, pages 511534. Springer, 1997. open in new tab
37. I. Giorgio. Numerical identication procedure between a micro-cauchy model and a macro-second gradient model for planar pantographic structures. Zeitschrift für angewandte Mathematik und Physik, 67(4)(95), 2016. open in new tab
38. E. Turco, F. dell'Isola, A. Cazzani, and N.L. Rizzi. Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models. Zeitschrift für angewandte Mathematik und Physik, 67:28 pages, 2016. open in new tab
39. Victor A Eremeyev, Francesco dell'Isola, Claude Boutin, and David Steigmann. Linear pantographic sheets: existence and uniqueness of weak solutions. 2017.
40. L. Placidi, E. Barchiesi, E. Turco, and N.L. Rizzi. A review on 2D models for the description of pantographic fabrics. Zeitschrift für angewandte Mathematik und Physik, 67(5)(121), 2016. open in new tab
41. F. dell'Isola and D.J. Steigmann. A two-dimensional gradient-elasticity theory for woven fabrics. J. Elasticity, 18:113125, 2015.
42. I. Giorgio, R. Grygoruk, F. dell'Isola, and D.J. Steigmann. Pattern formation in the three-dimensional deformations of bered sheets. Mechanics Research Communications, 69:164171, 2015. open in new tab
43. I. Giorgio, N.L. Rizzi, and E. Turco. Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Proc. R. Soc. A, page 21 pages, 2017 (http://dx.doi.org/10.1098/rspa.2017.0636). open in new tab
44. N. Auray, J. Dirrenberger, and G. Rosi. A complete description of bi-dimensional anisotropic strain-gradient elasticity. International Journal of Solids and Structures, 69:195206, 2015. open in new tab
45. C. Boutin, F. dell'Isola, I. Giorgio, and L. Placidi. Linear pantographic sheets: Asymptotic micro-macro models identication. Mathematics and Mechanics of Complex Systems, 5(2):127162, 2017. open in new tab
46. L. Placidi, U. Andreaus, A. Della Corte, and T. Lekszycki. Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coecients. Zeitschrift für angewandte Mathematik und Physik, 66(6):36993725, 2015. open in new tab
47. L. Placidi, E. Barchiesi, and A. Battista. An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations. In Mathematical Modelling in Solid Mechanics, pages 193210. Springer, 2017. open in new tab
48. D. Scerrato, I.A. Zhurba Eremeeva, T. Lekszycki, and N.L. Rizzi. On the eect of shear stiness on the plane deformation of linear second gradient pantographic sheets. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 96(11):12681279, 2016. open in new tab
49. F. dell'Isola, I. Giorgio, and U. Andreaus. Elastic pantographic 2d lattices: a numerical analysis on static response and wave propagation. In Proceedings of the Estonian Academy of Sciences, volume 64, pages 219225, 2015.
50. F. dell'Isola, A. Della Corte, I. Giorgio, and D. Scerrato. Pantographic 2D sheets: Discussion of some numerical investigations and potential applications. International Journal of Non-Linear Mechanics, 80:200208, 2016.
51. A. Madeo, A. Della Corte, L. Greco, and P. Ne. Wave propagation in pantographic 2d lattices with internal discontinuities. arXiv preprint arXiv:1412.3926, 2014. open in new tab
52. E. Turco, F. dell'Isola, N.L. Rizzi, R. Grygoruk, W.H. Müller, and C. Liebold. Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence. Mechanics Research Communications, 76:8690, 2016. open in new tab
53. M. Spagnuolo, K. Barcz, A. Pfa, F. dell'Isola, and P. Franciosi. Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments. Mechanics Research Communications, 2017. open in new tab
54. G. Ganzosch, F. dell'Isola, e. Turco, T. Lekszycki, and W.H. Müller. Shearing tests applied to pantographic structures. Acta Polytechnica CTU Proceedings, 7:16, 2016. 40 open in new tab
55. Francesco dell'Isola et al.
56. E. Turco, M. Golaszewski, I. Giorgio, and F. D'Annibale. Pantographic lattices with non-orthogonal bres: Experiments and their numerical simulations. Composites Part B: Engineering, 118:114, 2017. open in new tab
57. Michael A Sutton, Jean Jose Orteu, and Hubert Schreier. Image correlation for shape, motion and deforma- tion measurements: basic concepts, theory and applications. Springer Science & Business Media, 2009.
58. Francois Hild and Stéphane Roux. Digital image correlation. Wiley-VCH, Weinheim, 2012. open in new tab
59. Zvonimir Tomi£ev¢, François Hild, and Stéphane Roux. Mechanics-aided digital image correlation. The Journal of Strain Analysis for Engineering Design, 48(5):330343, 2013.
60. Hugo Leclerc, Jean-Noël Périé, Stéphane Roux, and François Hild. Integrated digital image correlation for the identication of mechanical properties. In International Conference on Computer Vision/Computer Graphics Collaboration Techniques and Applications, pages 161171. Springer, 2009. open in new tab
61. François Hild, Stéphane Roux, Renaud Gras, Néstor Guerrero, Maria Eugenia Marante, and Julio Flórez- López. Displacement measurement technique for beam kinematics. Optics and Lasers in Engineering, 47(3):495503, 2009. open in new tab
62. François Hild and Stéphane Roux. Comparison of local and global approaches to digital image correlation. Experimental Mechanics, 52(9):15031519, 2012. open in new tab

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