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

This review focuses mainly on the developments of element-free or meshless methods and
their applications in the analysis of composite structures. This review is organized as follows …

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 …

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

Physics-constrained data-driven computing is an emerging computational paradigm that
allows simulation of complex materials directly based on material database and bypass the …

Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

The material point method (MPM) has demonstrated itself as a computationally effective
particle method for solving solid mechanics problems involving large deformations and/or …

Because most approximation functions employed in meshfree methods are rational
functions with overlapping supports, sufficiently accurate domain integration becomes costly …

A theoretical framework for the accuracy analysis of meshfree collocation methods is
presented with a particular focus on the effects of boundary conditions. In the proposed …

Nodal integration can be applied to the Galerkin weak form to yield a particle‐type method
where stress and material history are located exclusively at the nodes and can be employed …