A simple meshfree method is developed in the context of Trefftz approaches to solve bending problem of arbitrarily shaped laminated composite and isotropic plates. Widely …
Purpose The paper aims to use a switching technique which allows to couple a nonlocal bond-based Peridynamic approach to the Meshless Local Exponential Basis Functions …
Purpose The purpose of this paper is to apply the Peridynamic differential operator (PDDO) to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow …
Static solution of thin elastic plate problems with in-plane varying thickness or material properties having weak point singularities (eg crack tip or notches) is studied using a novel …
A meshfree method on fixed grids is devised for simulation of Poisson's equation on 3D image-based cellular materials. The non-boundary fitted discretization of such jagged voxel …
A simple meshfree method is developed for the solution of 2D and 3D elasticity problems in potentially heterogeneous media. The rationale of the method follows that of Trefftz …
S Soghrati - Journal of Computational Physics, 2014 - Elsevier
A hierarchical interface-enriched finite element method (HIFEM) is introduced for the mesh- independent treatment of problems with complex morphologies. The proposed method …
We propose a simple meshfree method for two-dimensional and three-dimensional second order elliptic boundary value problems in heterogeneous media based on equilibrated basis …
In this paper we present a Trefftz method based on using exponential basis functions (EBFs) to solve one (1D) and two (2D) dimensional transient problems. We focus on direct and …