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 …

详细论述了近年来迅速发展的无网格法的理论基础及其在各个领域内的应用.
无网格法网格依赖性弱, 避免了传统的有限元, 边界元等基于网格的数值方法中可能出现的网格 …

A new algorithm is developed to improve the accuracy and efficiency of the material point
method for problems involving extremely large tensile deformations and rotations. In the …

Convected particle domain interpolation (CPDI) is a recently developed extension of the
material point method, in which the shape functions on the overlay grid are replaced with …

Localised corrosion is a cause of unanticipated and sometimes catastrophic failures of
equipment, transport vessels and infrastructures. Therefore, the development of modern …

Abstract The Material Point Method (MPM) uses a combined Eulerian-Lagrangian approach
to solve problems involving large deformations. A problem domain is discretised as material …

物质点法采用质点离散材料区域, 用背景网格计算空间导数和求解动量方程,
避免了网格畸变和对流项处理, 兼具拉格朗日和欧拉算法的优势, 非常适合模拟涉及材料特大 …

We present an adaptive Generalized Interpolation Material Point (GIMP) method for
simulating elastoplastic materials. Our approach allows adaptive refining and coarsening of …

The material point method for the analysis of deformable bodies is revisited and originally
upgraded to simulate crack propagation in brittle media. In this setting, phase‐field …

The material point method exhibits kinematic locking when traditional linear shape functions
are used with a rectangular grid. The locking affects both the strain and the stress fields …