The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases 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.
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The Material Point Method systematically introduces the theory, code design, and application of the material point method (MPM), as well as its recent extensions. The subjects covered include: the spatial and the temporal discretization of MPM; frequently used strength models and equations of state for materials; contact algorithms in MPM; adaptive MPM; hybrid/coupled material point finite element method; object-oriented programming of MPM; and the application of MPM in impact, explosion, and metal forming. Recent developments in impact/explosion are also described, including efficiency improvements, memory storage, coupling/combination with the finite element method,contact algorithms and their application in problems related to extreme loading. Key Features · A user’s guide and several numerical examples of the MPM3D-F90 code are presented, for which the input data files can be downloaded from: http://mpm3d.comdyn.cn. · Constitutive models which describe different types of material behaviors, with a focus on extreme events. The computer implementation of these constitutive models is specified and corresponding source codes are provided · Applications of MPM and its extensions in extreme events such as transient crack propagation, impact/penetration, blast, fluid–structure interaction, and biomechanical responses to extreme loading
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