An overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented. In this method, two independ...

The mechanical behavior of two-dimensional (2D) materials across 2D phase changes is unknown, and the finite temperature ($T$) elasticity paradigmatic SnSe monolayers---ferroelectric turning paraelectric as their unit cell turns from a rectangle into square---is described here in progressive manner. To begin with, $\mathrm{zero}\text{\ensuremath{-}}T$ total energy landscape gives way to (Boltzm...

In this paper, static analysis of two dimensional functionally graded plates based on three dimensional theory of elasticity is investigated. Graded finite element method has been used to solve the problem. The effects of power law exponents on static behavior of a fully clamped 2D-FGM plate have been investigated. The model has been compared with result of a 1D-FGM plate for different boundary...

The objective of this paper is the computation Airy stress function a two-layer composite beam with interlayer slip. For calculation upper and lower layer functions an iterative solution procedure from Boley-Tolins adapted, which was originally introduced for isotropic single beams under plane assumptions. Considering continuity equations interface stress, vertical deflection linear law between...