Zhang X., Chen Z., Liu Y. The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases

Academic Press, 2017. — 288 p. — ISBN: 978-0-12-407716-4.This book systematically introduces the theory, code design, and application of the material point method, covering subjects such as the spatial and temporal discretization of MPM, frequently-used strength models and equations of state of materials, contact algorithms in MPM, adaptive MPM, the hybrid/coupled material point finite element method, object-oriented programming of MPM, and the application of MPM in impact, explosion, and metal forming.Recent progresses are also stated in this monograph, including improvement of efficiency, memory storage, coupling/combination with the finite element method, the contact algorithm, and their application to problems.