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 …

A Lagrangian–Eulerian stabilized collocation method (LESCM) for the fluid–structure
interaction problems involving free surface flow is presented in this work, in which the …

The technique of identifying Lagrangian Coherent Structures (LCSs) has emerged as a
powerful tool for studying incompressible flows. Yet, the discrepancies arising from …

In this work, we develop an accurate and stable Updated Lagrangian particle
hydrodynamics (ULPH) modeling to simulate complicated free-surface fluid flows …

Combining the strengths of Lagrangian and Eulerian descriptions, the coupled Lagrangian–
Eulerian methods play an increasingly important role in various subjects. This work reviews …

Field observations have shown that sliding zones in large landslides often exhibit much
lower frictional resistances than their ordinary values; this behavior causes great difficulties …

Simulations of freezing-thawing cycles induced crack propagation in rock media is one of
the most popular but hard issues to be solved in rock mechanics, the core of which is the …

The recent evolution of software and hardware technologies is leading to a renewed
computational interest in Particle-In-Cell (PIC) methods such as the Material Point Method …

Abstract Particle-In-Cell (PIC) methods such as the Material Point Method (MPM) can be cast
in formulations suitable to the requirements of data locality and fine-grained parallelism of …

A novel implicit material point method (MPM) using a cell-based integration scheme is
proposed to solve large deformation static problems. An incremental weak form based on …