New Developments in Enhanced Strain Finite Elements for Linear and Non-Linear Applications

Reinhard E. Piltner

New Developments in Enhanced Strain Finite Elements for Linear and Non-Linear Applications

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

For large scale finite element simulations, elements with few unknowns are attractive. However, the standard four node compatible displacement element and the three node triangular element show poor performance for problems with bending and for plane strain problems in the nearly incompressible limit. Using a modified Hu-Washizu variational formulation with enhanced strains we are able to derive elements which show excellent performance for linear and non-linear applications.

Original language	American English
Journal	Festschrift zum 60, Geburtstag von Heinz Waller
Volume	97
State	Published - Feb 1995

Disciplines

Mathematics

Keywords

Enhanced Strain Finite Elements
Linear Applications
Non-linear Applications

Cite this

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title = "New Developments in Enhanced Strain Finite Elements for Linear and Non-Linear Applications",

abstract = " For large scale finite element simulations, elements with few unknowns are attractive. However, the standard four node compatible displacement element and the three node triangular element show poor performance for problems with bending and for plane strain problems in the nearly incompressible limit. Using a modified Hu-Washizu variational formulation with enhanced strains we are able to derive elements which show excellent performance for linear and non-linear applications.",

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year = "1995",

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AU - Piltner, Reinhard E.

PY - 1995/2

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N2 - For large scale finite element simulations, elements with few unknowns are attractive. However, the standard four node compatible displacement element and the three node triangular element show poor performance for problems with bending and for plane strain problems in the nearly incompressible limit. Using a modified Hu-Washizu variational formulation with enhanced strains we are able to derive elements which show excellent performance for linear and non-linear applications.

AB - For large scale finite element simulations, elements with few unknowns are attractive. However, the standard four node compatible displacement element and the three node triangular element show poor performance for problems with bending and for plane strain problems in the nearly incompressible limit. Using a modified Hu-Washizu variational formulation with enhanced strains we are able to derive elements which show excellent performance for linear and non-linear applications.

KW - Enhanced Strain Finite Elements

KW - Linear Applications

KW - Non-linear Applications

UR - http://www1.am.bi.ruhr-uni-bochum.de/ifm/IFM-097.pdf#page=133

M3 - Article

VL - 97

JO - Festschrift zum 60, Geburtstag von Heinz Waller

JF - Festschrift zum 60, Geburtstag von Heinz Waller

ER -

New Developments in Enhanced Strain Finite Elements for Linear and Non-Linear Applications

Abstract

Disciplines

Keywords

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