Skip to main content
U.S. flag

An official website of the United States government

Dot gov

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Https

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

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

Published

Author(s)

B. Yang, Vinod K. Tewary

Abstract

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.
Citation
Engineering Analysis With Boundary Elements
Volume
8

Keywords

anisotropic elasticity, Green's function, Kirchhoff plate, membrane, multilayers, Stroh formalism

Citation

Yang, B. and Tewary, V. (2008), 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)
Created August 4, 2008, Updated January 27, 2020