Moving least-squares in finite strain analysis with tetrahedra support

A finite strain element (FE)-based approach to element-free Galerkin (EFG) discretization is introduced, based on a number of simplifications and specialized techniques in the context Lagrangian kernel. In terms discretization, quadratic polynomial basis used, support determined from pre-assigned nodes for each quadrature point points coincide with centroids tetrahedra. Diffuse derivatives are adopted, which allow use convenient non-differentiable weight functions approximate Dirac-Delta distribution. Due kernel, recent elasto-plastic constitutive developments Mandel stress adopted direct form. These especially implementation perspective, as EFG formulations plasticity have been limited by previous requirement updating We also note that, although tetrahedra only integration undeformed configuration, mesh deformation no consequence results. Four 3D benchmark tests successfully solved.