Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Based on the peridynamic (PD) theory introduced by Dr. Stewart A. Silling from Sandia
National Laboratories in 2000, this book presents the nonlocal PD differential operator and …

Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

Abstract Domain integration by Gauss quadrature in the Galerkin mesh‐free methods adds
considerable complexity to solution procedures. Direct nodal integration, on the other hand …

In the finite element method (FEM), a necessary condition for a four-node isoparametric
element is that no interior angle is greater than 180° and the positivity of Jacobian …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

A new finite element method for fourth-order elliptic partial differential equations is presented
and applied to thin bending theory problems in structural mechanics and to a strain gradient …

This paper presents a generalized gradient smoothing technique, the corresponding
smoothed bilinear forms, and the smoothed Galerkin weakform that is applicable to create a …

This paper introduces a G space theory and a weakened weak form (W2) using the
generalized gradient smoothing technique for a unified formulation of a wide class of …