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The material point methodtheory, implementations and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The material point methodby Vinh Phu Nguyen, Alban de Vaucorbeil, Stephane Bordas.
Reminder of title:	theory, implementations and applications /
Author:	Nguyen, Vinh Phu.
other author:	Vaucorbeil, Alban de.
Published:	Cham :Springer International Publishing :2023.
Description:	xv, 467 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Engineering mathematics.
Online resource:	https://doi.org/10.1007/978-3-031-24070-6
ISBN:	9783031240706$q(electronic bk.)

The material point methodtheory, implementations and applications /
Nguyen, Vinh Phu.

The material point methodtheory, implementations and applications /[electronic resource] :by Vinh Phu Nguyen, Alban de Vaucorbeil, Stephane Bordas. - Cham :Springer International Publishing :2023. - xv, 467 p. :ill., digital ;24 cm. - Scientific computation,2198-2589. - Scientific computation..

Introduction -- A general MPM for solid mechanics -- Various MPM formulations -- Constitutive models -- Implementation -- MPMat: a MPM Matlab code -- Karamelo: a multi-CPU/GPU C++ parallel MPM code -- Contact and fracture -- Stability, accuracy and recent improvements -- Other topics: modeling of fluids, membranes and temperature effects.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.

ISBN: 9783031240706$q(electronic bk.)

Standard No.: 10.1007/978-3-031-24070-6doiSubjects--Topical Terms:

182072
Engineering mathematics.

LC Class. No.: TS161

Dewey Class. No.: 620

The material point methodtheory, implementations and applications /
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520 $a This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.
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