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.
and Tewary, V.
Green's Function for Multilayers with Interfacial Membrane and Flexural Rigidities, Engineering Analysis With Boundary Elements, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50607
(Accessed April 11, 2021)