LEADER 04188nam 2200709 450 001 9910686468103321 005 20240130155535.0 010 $a3-031-24070-7 024 7 $a10.1007/978-3-031-24070-6 035 $a(CKB)5590000001037831 035 $a(DE-He213)978-3-031-24070-6 035 $a(MiAaPQ)EBC7236618 035 $a(Au-PeEL)EBL7236618 035 $a(PPN)269655816 035 $a(EXLCZ)995590000001037831 100 $a20230731d2023 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe material point method $etheory, implementations and applications /$fVinh Phu Nguyen, Alban de Vaucorbeil, and Stephane Bordas 205 $a1st ed. 2023. 210 1$aCham, Switzerland :$cSpringer Nature Switzerland AG,$d[2023] 210 4$dŠ2023 215 $a1 online resource (XV, 467 p. 278 illus., 238 illus. in color.) 225 1 $aScientific Computation,$x2198-2589 311 $a3-031-24069-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aThis book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad. The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances. Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed. 410 0$aScientific Computation,$x2198-2589 606 $aEngineering$xData processing 606 $aEngineering mathematics 606 $aMathematical physics 606 $aMathematics$xData processing 606 $aMechanics, Applied 606 $aMatemātica per a enginyers$2thub 606 $aFísica matemātica$2thub 606 $aMecānica aplicada$2thub 606 $aSōlids$2thub 608 $aLlibres electrōnics$2thub 615 0$aEngineering$xData processing. 615 0$aEngineering mathematics. 615 0$aMathematical physics. 615 0$aMathematics$xData processing. 615 0$aMechanics, Applied. 615 7$aMatemātica per a enginyers 615 7$aFísica matemātica 615 7$aMecānica aplicada 615 7$aSōlids 676 $a620.00285 700 $aNguyen$b Vinh Phu$01353887 702 $aVaucorbeil$b Alban de 702 $aBordas$b Stephane 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910686468103321 996 $aThe Material Point Method$93283360 997 $aUNINA