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Material Point Method: Particle-in-cell, Finite element method, Partial differential equation, Meshfree methods, Geotechnical engineering, Soil mechanics - Couverture souple

 
9786132696281: Material Point Method: Particle-in-cell, Finite element method, Partial differential equation, Meshfree methods, Geotechnical engineering, Soil mechanics

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Material Point Method, is an extension from the Particle-in-cell Method in computational fluid dynamics to computational solid dynamics, and is a Finite element method-based particle method. It is primarily used for multiphase simulations, because of the ease of detecting contact without inter-penetration. It can also be used as an alternative to dynamic FEM methods to simulate large material deformations, because there is no re-meshing required by the MPM. In the MPM, Lagrangian point masses, or material points, are moved through a Eulerian background mesh. At the end of each calculation cycle, a ‘convective’ step occurs, in which the mesh is reset to its original position, while material points remain in their current positions. There are two key differences between the PIC and MPM. The first one is that the MPM is formulated in the weak form similar to that for the FEM so that the FEM and MPM could be combined together for large-scale simulations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Material Point Method, is an extension from the Particle-in-cell Method in computational fluid dynamics to computational solid dynamics, and is a Finite element method-based particle method. It is primarily used for multiphase simulations, because of the ease of detecting contact without inter-penetration. It can also be used as an alternative to dynamic FEM methods to simulate large material deformations, because there is no re-meshing required by the MPM. In the MPM, Lagrangian point masses, or material points, are moved through a Eulerian background mesh. At the end of each calculation cycle, a ‘convective’ step occurs, in which the mesh is reset to its original position, while material points remain in their current positions. There are two key differences between the PIC and MPM. The first one is that the MPM is formulated in the weak form similar to that for the FEM so that the FEM and MPM could be combined together for large-scale simulations.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.