An RP-adaptive finite element method for elastoplastic problems

Vera Nubel; Alexander Düster; Ernst Rank

An RP-adaptive finite element method for elastoplastic problems

Vera Nubel, Alexander Düster, Ernst Rank

Engineering and Design

Technical University of Munich

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

In this paper we present an rp-discretization strategy for physically non-linear problems that is based on a high order finite element formulation. In order to achieve convergence, the p-version leaves the mesh unchanged and increases the polynomial degree of the shape functions locally or globally, whereas the r-method moves the nodes of an existing FE-mesh. The basic idea of our rp-version approach is to adjust the finite element mesh to the shape of the elastic-plastic interface in order to take the loss of regularity which arises along the shape of the plastic front into account. A numerical example will demonstrate that this approach leads to very accurate results.

Original language	English
State	Published - 2004
Event	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: 24 Jul 2004 → 28 Jul 2004

Conference

Conference	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country/Territory	Finland
City	Jyvaskyla
Period	24/07/04 → 28/07/04

Keywords

Adaptivity
Deformation theory of plasticity
P-version FEM

Cite this

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abstract = "In this paper we present an rp-discretization strategy for physically non-linear problems that is based on a high order finite element formulation. In order to achieve convergence, the p-version leaves the mesh unchanged and increases the polynomial degree of the shape functions locally or globally, whereas the r-method moves the nodes of an existing FE-mesh. The basic idea of our rp-version approach is to adjust the finite element mesh to the shape of the elastic-plastic interface in order to take the loss of regularity which arises along the shape of the plastic front into account. A numerical example will demonstrate that this approach leads to very accurate results.",

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author = "Vera Nubel and Alexander D{\"u}ster and Ernst Rank",

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T1 - An RP-adaptive finite element method for elastoplastic problems

AU - Nubel, Vera

AU - Düster, Alexander

AU - Rank, Ernst

PY - 2004

Y1 - 2004

N2 - In this paper we present an rp-discretization strategy for physically non-linear problems that is based on a high order finite element formulation. In order to achieve convergence, the p-version leaves the mesh unchanged and increases the polynomial degree of the shape functions locally or globally, whereas the r-method moves the nodes of an existing FE-mesh. The basic idea of our rp-version approach is to adjust the finite element mesh to the shape of the elastic-plastic interface in order to take the loss of regularity which arises along the shape of the plastic front into account. A numerical example will demonstrate that this approach leads to very accurate results.

AB - In this paper we present an rp-discretization strategy for physically non-linear problems that is based on a high order finite element formulation. In order to achieve convergence, the p-version leaves the mesh unchanged and increases the polynomial degree of the shape functions locally or globally, whereas the r-method moves the nodes of an existing FE-mesh. The basic idea of our rp-version approach is to adjust the finite element mesh to the shape of the elastic-plastic interface in order to take the loss of regularity which arises along the shape of the plastic front into account. A numerical example will demonstrate that this approach leads to very accurate results.

KW - Adaptivity

KW - Deformation theory of plasticity

KW - P-version FEM

UR - http://www.scopus.com/inward/record.url?scp=84893509889&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84893509889

T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004

Y2 - 24 July 2004 through 28 July 2004

ER -

An RP-adaptive finite element method for elastoplastic problems

Abstract

Conference

Keywords

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