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



B. Yang, Vinod K. Tewary


A three-dimensional Green's function for a material system containing general 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 surface boundary condition, the interfacial displacement continuity condition, and the interfacial traction discontinuity condition are applied to define the Green's function. The last condition is given by the membrane and bending equilibrium nist-equations of the interphases. Numerical results, which demonstrate the validity and efficiency of the formulation, are presented for the case of a stack of silicon thin-films embedded in epoxy.
Engineering Analysis With Boundary Elements


anisotropic elasticity, Green's function, Kirchhoff plate, membrane, multilayers, Stroh formalism
Created August 4, 2008, Updated January 27, 2020