Weight functions for piecewise homogeneous isotropic notches in antiplane strain by finite element method

T. L. Sham

doi:10.1016/0013-7944(88)90100-2

Weight functions for piecewise homogeneous isotropic notches in antiplane strain by finite element method

T. L. Sham

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

10 Scopus citations

Abstract

A finite element procedure based on a variational principle for elastic fields with unbounded energy of deformation is introduced for determining weight functions in finite notched bodies. The notched body considered is linear elastic, isotropic and piecewise homogeneous and deforming in antiplane strain. This finite element procedure is simple and can be incorporated easily into standard finite element codes. We illustrate the versatility and accuracy of this method by considering some sample mixed boundary value problems which have exact solutions.

Original language	English
Pages (from-to)	567-576
Number of pages	10
Journal	Engineering Fracture Mechanics
Volume	31
Issue number	4
DOIs	https://doi.org/10.1016/0013-7944(88)90100-2
State	Published - 1988
Externally published	Yes

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title = "Weight functions for piecewise homogeneous isotropic notches in antiplane strain by finite element method",

abstract = "A finite element procedure based on a variational principle for elastic fields with unbounded energy of deformation is introduced for determining weight functions in finite notched bodies. The notched body considered is linear elastic, isotropic and piecewise homogeneous and deforming in antiplane strain. This finite element procedure is simple and can be incorporated easily into standard finite element codes. We illustrate the versatility and accuracy of this method by considering some sample mixed boundary value problems which have exact solutions.",

author = "Sham, \{T. L.\}",

year = "1988",

doi = "10.1016/0013-7944(88)90100-2",

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T1 - Weight functions for piecewise homogeneous isotropic notches in antiplane strain by finite element method

AU - Sham, T. L.

PY - 1988

Y1 - 1988

N2 - A finite element procedure based on a variational principle for elastic fields with unbounded energy of deformation is introduced for determining weight functions in finite notched bodies. The notched body considered is linear elastic, isotropic and piecewise homogeneous and deforming in antiplane strain. This finite element procedure is simple and can be incorporated easily into standard finite element codes. We illustrate the versatility and accuracy of this method by considering some sample mixed boundary value problems which have exact solutions.

AB - A finite element procedure based on a variational principle for elastic fields with unbounded energy of deformation is introduced for determining weight functions in finite notched bodies. The notched body considered is linear elastic, isotropic and piecewise homogeneous and deforming in antiplane strain. This finite element procedure is simple and can be incorporated easily into standard finite element codes. We illustrate the versatility and accuracy of this method by considering some sample mixed boundary value problems which have exact solutions.

UR - https://www.scopus.com/pages/publications/45549117322

U2 - 10.1016/0013-7944(88)90100-2

DO - 10.1016/0013-7944(88)90100-2

M3 - Article

AN - SCOPUS:45549117322

SN - 0013-7944

VL - 31

SP - 567

EP - 576

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 4

ER -

Weight functions for piecewise homogeneous isotropic notches in antiplane strain by finite element method

Abstract

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