It has been 25 years since Sulsky and her coworkers developed the first version of the
material point method (MPM): a quasi particle method to solve continuum mechanics …

We extend the recently proposed framework using reduced quadrature in the Finite Element
and Isogeometric methods for solid mechanics to the nonlinear realm. The proposed …

We propose a novel projection method to treat near-incompressibility and volumetric locking
in small-and large-deformation elasticity and plasticity within the context of higher order …

We propose the use of Isogeometric Analysis (IGA) within the context of the Material Point
Method (MPM), and refer to the approach as IGA-MPM. We use the idea of IGA, and its …

The material point method (MPM) is frequently used to simulate large deformations of nearly
incompressible materials such as water, rubber, and undrained porous media. However …

We propose a novel mixed displacement-pressure formulation based on an energy
functional that takes into account the relation between the pressure and the volumetric …

We develop an immersed meshfree method under a variational multiscale framework for
modeling fluid–structure interactive systems involving shock waves. The proposed method …

The overarching goal of this work is to develop an accurate, robust, and stable methodology
for finite deformation modeling using strong-form peridynamics (PD) and the …

In this paper we develop a modification of the recently proposed Taylor series expansion-
based formulation for computational solids to satisfy a generalized patch test. To achieve …

The stable node‐based smoothed particle finite element method (SNS‐PFEM) reduces
spatial numerical oscillation from direct nodal integration in NS‐PFEM but leads to a severe …