A Boundary Element Formulation for Standard Linear Viscoelastic Structures Made of Functionally Graded Materials

In this paper, a ۲D boundary element formulation able to model time-dependent functionally graded materials (FGM) is presented. A numerical implementation of the Somigliana identity for displacements is developed to solve ۲D problems of exponentially graded elasticity. The FGM concept can be applied to various materials for structural and functional uses. In this model, only the Green’s function of nonhomogeneous elastostatic problems is needed with material properties that vary continuously along a given dimension.

Keywords:

boundary element formulation , FGMs , nonhomogeneity , time-dependent materials