A higher order control volume based finite element method to prodict the deformation of heterogeneous materials

Andrew James Beveridge, Marcus Wheel, David Nash

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture their unconventional behaviour. One such theory is micropolar
elasticity. This paper presents a linear strain control volume finite element formulation incorporating micropolar elasticity. Verification results from a micropolar element patch test as well as convergence results for a stress concentration problem are included. The element will be shown to pass the patch test and also exhibit accuracy that is at least equivalent to its finite element counterpart.
LanguageEnglish
Pages54-62
JournalComputers and Structures
Volume129
DOIs
Publication statusPublished - Dec 2013

Fingerprint

Patch Test
Micropolar
Heterogeneous Materials
Control Volume
Elasticity
Finite Element Method
Higher Order
Strain control
Finite Element
Finite element method
A.s. Convergence
Stress Concentration
Convergence Results
Stress concentration
Internal
Formulation

Keywords

  • control volume
  • finite element method
  • heterogeneous materials
  • micropolar elasticity

Cite this

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abstract = "Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture their unconventional behaviour. One such theory is micropolarelasticity. This paper presents a linear strain control volume finite element formulation incorporating micropolar elasticity. Verification results from a micropolar element patch test as well as convergence results for a stress concentration problem are included. The element will be shown to pass the patch test and also exhibit accuracy that is at least equivalent to its finite element counterpart.",
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A higher order control volume based finite element method to prodict the deformation of heterogeneous materials. / Beveridge, Andrew James; Wheel, Marcus; Nash, David.

In: Computers and Structures, Vol. 129, 12.2013, p. 54-62.

Research output: Contribution to journalArticle

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AB - Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture their unconventional behaviour. One such theory is micropolarelasticity. This paper presents a linear strain control volume finite element formulation incorporating micropolar elasticity. Verification results from a micropolar element patch test as well as convergence results for a stress concentration problem are included. The element will be shown to pass the patch test and also exhibit accuracy that is at least equivalent to its finite element counterpart.

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