The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …

This review paper presents a methodological study on possible and existing meshfree
methods for solving the partial differential equations (PDEs) governing solid mechanics …

Based on the widely used finite element method (FEM) and the latest Meshfree methods, a
next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) …

Transient responses and natural frequencies of sandwich beams with inhomogeneous
functionally graded (FG) core are investigated. To serve this purpose, we propose a novel …

In this work an improved meshless method is proposed, based on the combination of the
natural neighbour finite element method with the radial point interpolation method, the …

A linearly conforming point interpolation method (LC-PIM) is developed for 2D solid
problems. In this method, shape functions are generated using the polynomial basis …

Material behavior and microstructure geometries at small scales strongly influence the
physical behavior at higher scales. For example, defects like cracks and dislocations evolve …

It is well known that the displacement‐based fully compatible finite element method (FEM)
provides a lower bound in energy norm for the exact solution to elasticity problems. It is …

This current work considers the utilization of the completely Lagrangian technique,
smoothed particle hydrodynamics to improve the 3D finite element model for numerical …

New numerical strategies based on meshless methods for the analysis of linear fracture
mechanics problems with minimum computational labor are presented. Stationary as well as …