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 theory of anisotropic generalized plane strain line forces and dislocation lines is embedded in three-dimensional elasticity point densities. Embedding real space achieved by slicing reciprocal using the projection-slice theorem.

We present a higher order stabilization-free virtual element method applied to plane elasticity problems. utilize serendipity approach reduce the total number of degrees freedom from corresponding high-order approximations. The well-posedness problem is numerically studied via an eigenanalysis. then several benchmark problems linear and we show that delivers optimal convergence rates in $L^2$ n...

The Beetle Elytron Plate (BEP) is a new class of biomimetic sandwich core that features excellent compressive strength, energy absorption capacity and flexural properties. These characteristics make BEPs suitable as potential replacements classical honeycomb cores in panels. This work describes the behaviour in-plane engineering elastic constants parametric BEP topologies for first time. beetle...