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Green's Function for Multilayers with Interfacial Membrane and Flexural Rigidities1

B. Yang2, V. K. Tewary3

Contribution of the National Institute of Standards and Technology, an agency of the US government; not subject to copyright.
Department of Mechanical and Aerospace Engineering, Florida Institute of Technology, Melbourne, FL 32901
Materials Reliability Division, National Institute of Standards and Technology, Boulder, CO 80305

Computers, Materials & Continua 2008, 8(1), 23-32. https://doi.org/10.3970/cmc.2008.008.023

Abstract

A three-dimensional Green's function for a material system consisting of anisotropic and linearly elastic planar multilayers with interfacial membrane and flexural rigidities has been derived. The Stroh formalism and two-dimensional Fourier transforms are applied to derive the general solution for each homogeneous layer. The Green's function for the multilayers is then solved by imposing the surface boundary condition, the interfacial displacement continuity condition, and the interfacial traction discontinuity condition. The last condition is given by the membrane and bending equilibrium equations of the interphases modeled as Kirchhoff plates. Numerical results that demonstrate the validity and efficiency of the formulation are presented for the case of a stack of silicon thin films embedded in epoxy.

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APA Style
Yang, B., Tewary, V.K. (2008). Green's function for multilayers with interfacial membrane and flexural rigidities1. Computers, Materials & Continua, 8(1), 23-32. https://doi.org/10.3970/cmc.2008.008.023
Vancouver Style
Yang B, Tewary VK. Green's function for multilayers with interfacial membrane and flexural rigidities1. Comput Mater Contin. 2008;8(1):23-32 https://doi.org/10.3970/cmc.2008.008.023
IEEE Style
B. Yang and V.K. Tewary, "Green's Function for Multilayers with Interfacial Membrane and Flexural Rigidities1," Comput. Mater. Contin., vol. 8, no. 1, pp. 23-32. 2008. https://doi.org/10.3970/cmc.2008.008.023



cc Copyright © 2008 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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