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A Generalized Framework Towards Structural Mechanics of Three-layered Composite Structures

Abstract

Three-layered composite structures find a broad application. Increasingly, composites are being used whose layer thicknesses and material properties diverge strongly. In the perspective of structural mechanics, classical approaches to analysis fail at such extraordinary composites. Therefore, emphasis of the present approach is on arbitrary transverse shear rigidities and structural thicknesses of the individual layers. Therewith we employ a layer-wise approach for multiple (quasi-)homogeneous layers. Every layer is considered separately whereby this disquisition is based on the direct approach for deformable directed surfaces. We limit our considerations to geometrical and physical linearity. In this simple and familiar setting we furnish a layer-wise theory by introducing constraints at interfaces to couple the layers. Hereby we restrict our concern to surfaces where all material points per surface are coplanar and all surfaces are plane parallel. Closed-form solutions of the governing equations enforce a narrow frame since they are strongly restrictive in the context of available boundary conditions. Thus a computational solution approach is introduced using the finite element method. In order to determine the required spatially approximated equation of motion, the principle of virtual work is exploited. The discretization is realized via quadrilateral elements with quadratic shape functions. Hereby we introduce an approach where nine degrees of freedom per node are used. In combination with the numerical solution approach, this layer-wise theory has emerged as a powerful tool to analyze composite structures. In present treatise, we would like to clarify the broad scope of this approach.

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Authors (5)

  • Photo of Dr Marcus Aßmus

    Marcus Aßmus Dr

    • Otto von Guericke University, Faculty of Mechanical Engineering, Universitätsplatz 2, 39108 Magdeburg, Germany
  • Photo of Dr. Konstantin Naumenko

    Konstantin Naumenko Dr.

    • Otto von Guericke University, Faculty of Mechanical Engineering, Universitätsplatz 2, 39108 Magdeburg, Germany
  • Photo of Dr. hab. Prof. Andreas Öchsner

    Andreas Öchsner Dr. hab. Prof.

    • Esslingen University of Applied Sciences, Faculty Mechanical Engineering, Kanalstraße 33, 73728 Esslingen, Germany
  • Photo of prof. dr hab. Victor Eremeev

    Victor Eremeev prof. dr hab.

  • Photo of Dr. hab. Holm Altenbach

    Holm Altenbach Dr. hab.

    • Otto von Guericke University, Faculty of Mechanical Engineering, Universitätsplatz 2, 39108 Magdeburg, Germany

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Technische Mechanik no. 39, pages 202 - 219,
ISSN: 0232-3869
Language:
English
Publication year:
2019
Bibliographic description:
Aßmus M., Naumenko K., Öchsner A., Eremeev V., Altenbach H.: A Generalized Framework Towards Structural Mechanics of Three-layered Composite Structures// Technische Mechanik -Vol. 39,iss. 2 (2019), s.202-219
DOI:
Digital Object Identifier (open in new tab) 10.24352/ub.ovgu-2019-019
Bibliography: test
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