Selective Integration in the Material-Point Method

Lars Andersen; Søren Andersen; Lars Damkilde

Selective Integration in the Material-Point Method

Lars Andersen, Søren Andersen, Lars Damkilde

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

595 Downloads (Pure)

Abstract

The paper deals with stress integration in the material-point method. In order to avoid parasitic shear in bending, a formulation is proposed, based on selective integration in the background grid that is used to solve the governing equations. The suggested integration scheme is compared to a traditional material-point-method computation in which the stresses are evaluated at the material points. The deformation of a cantilever beam is analysed, assuming elastic or elastoplastic material behaviour.

Originalsprog	Engelsk
Titel	Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics
Redaktører	Lars Damkilde, Lars Andersen, Anders Schmidt Kristensen, Erik Lund
Forlag	Department of Civil Engineering, Aalborg University
Publikationsdato	2009
Sider	125-128
Status	Udgivet - 2009
Begivenhed	The Nordic Seminar on Computational Mechanics - Aalborg, Danmark Varighed: 22 okt. 2009 → 23 okt. 2009 Konferencens nummer: 22

Konference

Konference	The Nordic Seminar on Computational Mechanics
Nummer	22
Land/Område	Danmark
By	Aalborg
Periode	22/10/2009 → 23/10/2009

Navn	DCE Technical Memorandum
Nummer	11
ISSN	1901-7278

Emneord

Material-Point Method
MPM
Finite-Element Method
FEM
Solid Mechanics
State Variables
Material Points
Deformation

Adgang til dokumentet

Selective Integration in the Material-point MethodForlagets udgivne version, 324 KB

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

Citationsformater

@inproceedings{d1aff350cd5f11de9e10000ea68e967b,

title = "Selective Integration in the Material-Point Method",

abstract = "The paper deals with stress integration in the material-point method. In order to avoid parasitic shear in bending, a formulation is proposed, based on selective integration in the background grid that is used to solve the governing equations. The suggested integration scheme is compared to a traditional material-point-method computation in which the stresses are evaluated at the material points. The deformation of a cantilever beam is analysed, assuming elastic or elastoplastic material behaviour.",

keywords = "Material-Point Method, MPM, Finite-Element Method, FEM, Solid Mechanics, State Variables, Material Points, Deformation, Material-Point Method, MPM, Finite-Element Method, FEM, Solid Mechanics, State Variables, Material Points, Deformation",

author = "Lars Andersen and S{\o}ren Andersen and Lars Damkilde",

year = "2009",

language = "English",

series = "DCE Technical Memorandum",

publisher = "Department of Civil Engineering, Aalborg University",

number = "11",

pages = "125--128",

editor = "Lars Damkilde and Lars Andersen and Kristensen, {Anders Schmidt} and Erik Lund",

booktitle = "Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics",

address = "Denmark",

note = "The Nordic Seminar on Computational Mechanics ; Conference date: 22-10-2009 Through 23-10-2009",

}

Andersen, L, Andersen, S & Damkilde, L 2009, Selective Integration in the Material-Point Method. i L Damkilde, L Andersen, AS Kristensen & E Lund (red), Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics. Department of Civil Engineering, Aalborg University, DCE Technical Memorandum, nr. 11, s. 125-128, The Nordic Seminar on Computational Mechanics, Aalborg, Danmark, 22/10/2009.

Selective Integration in the Material-Point Method. / Andersen, Lars; Andersen, Søren; Damkilde, Lars.
Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics. red. / Lars Damkilde; Lars Andersen; Anders Schmidt Kristensen; Erik Lund. Department of Civil Engineering, Aalborg University, 2009. s. 125-128 (DCE Technical Memorandum; Nr. 11).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Selective Integration in the Material-Point Method

AU - Andersen, Lars

AU - Andersen, Søren

AU - Damkilde, Lars

N1 - Conference code: 22

PY - 2009

Y1 - 2009

N2 - The paper deals with stress integration in the material-point method. In order to avoid parasitic shear in bending, a formulation is proposed, based on selective integration in the background grid that is used to solve the governing equations. The suggested integration scheme is compared to a traditional material-point-method computation in which the stresses are evaluated at the material points. The deformation of a cantilever beam is analysed, assuming elastic or elastoplastic material behaviour.

AB - The paper deals with stress integration in the material-point method. In order to avoid parasitic shear in bending, a formulation is proposed, based on selective integration in the background grid that is used to solve the governing equations. The suggested integration scheme is compared to a traditional material-point-method computation in which the stresses are evaluated at the material points. The deformation of a cantilever beam is analysed, assuming elastic or elastoplastic material behaviour.

KW - Material-Point Method

KW - MPM

KW - Finite-Element Method

KW - FEM

KW - Solid Mechanics

KW - State Variables

KW - Material Points

KW - Deformation

KW - Material-Point Method

KW - MPM

KW - Finite-Element Method

KW - FEM

KW - Solid Mechanics

KW - State Variables

KW - Material Points

KW - Deformation

M3 - Article in proceeding

T3 - DCE Technical Memorandum

SP - 125

EP - 128

BT - Proceedings of the Twenty Second Nordic Seminar on Computational Mechanics

A2 - Damkilde, Lars

A2 - Andersen, Lars

A2 - Kristensen, Anders Schmidt

A2 - Lund, Erik

PB - Department of Civil Engineering, Aalborg University

T2 - The Nordic Seminar on Computational Mechanics

Y2 - 22 October 2009 through 23 October 2009

ER -

Selective Integration in the Material-Point Method

Abstract

Konference

Emneord

Adgang til dokumentet

AUB Link

Fingeraftryk

Citationsformater