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Boundary Element Analysis in Computational Fracture Mechanics : Mechanics: Computational Mechanics - Thomas A. Cruse

Boundary Element Analysis in Computational Fracture Mechanics

Mechanics: Computational Mechanics

Hardcover

Published: 1988
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' a very valuable contribution to the literature which should be read by anyone with a serious interest in the boundary element method, and is essential reading for those applying the method to fracture mechanics.' R.J. Feune, Engineering Computations, Fall 1988. 'The book is an excellent contribution to the title problem and is recommended to anyone contemplating numerical techniques for fracture problems.' J.C.F. Telles, Zentralblatt für Mathematik und Ihre Grenzgebiete/Mathematical Abstracts, Vol. 648.

`... a very valuable contribution to the literature which should be read by anyone with a serious interest in the boundary element method, and is essential reading for those applying the method to fracture mechanics.' R.J. Feune, Engineering Computations, Fall 1988. `The book is an excellent contribution to the title problem and is recommended to anyone contemplating numerical techniques for fracture problems.' J.C.F. Telles, Zentralblatt fur Mathematik und Ihre Grenzgebiete/Mathematical Abstracts, Vol. 648.

1.0 An Historical Perspective.- 1.1 Boundary Integral Equation Development.- 1.2 Boundary Formulations and Discretizations.- 1.3 Fracture Mechanics Problems.- References.- 2.0 Fracture Mechanics.- 2.1 Introduction.- 2.2 Some Definitions.- 2.3 Some Fundamental Results.- 2.4 Some Stress Intensity Factors.- References.- 3.0 Boundary-Integral Equation Formulation and Solution.- 3.1 Introduction.- 3.2 Governing Equations of Elasticity in Two and Three Dimensions.- 3.3 Fundamental Solutions.- 3.4 Two-Dimensional Anisotropic Fundamental Solution.- 3.5 Three-Dimensional Anisotropic Fundamental Solution.- 3.6 Somigliana Identities.- 3.7 Boundary-Integral Equations.- 3.8 Numerical Quadrature of the BIE.- References.- 4.0 BIE Modeling of Crack Surfaces.- 4.1 Introduction.- 4.2 Degeneration of the BIE for Co-Planar Surfaces.- 4.3 Multiregion BIE Applications.- 4.4 Strain Energy Based Crack Tip Modeling.- 4.5 Crack Surface Interpolations.- References.- 5.0 Green's Function Formulation in Two Dimensions.- 5.1 Introduction.- 5.2 Formulation of the Anisotropic Green's Function.- 5.3 Somigliana Identities for the Anisotropic Green's Function Formulation.- 5.4 Linear Variation Boundary Element Implementation.- 5.5 Applications.- References.- 6.0 Elastoplastic Fracture Mechanics Analysis.- 6.1 Introduction.- 6.2 Fundamental Elastoplastic Relations.- 6.3 The Somigliana Identities in Three-Dimensional Elastoplasticity.- 6.4 The Somigliana Identities in Two-Dimensional Elastoplasticity.- 6.5 The Somigliana Identities in Two-Dimensional Elastoplastic Fracture Mechanics.- 6.6 Numerical Implementation of the Elastoplastic BIE Formulation.- 6.7 Numerical Results in Two-Dimensional Elastoplasticity.- References.- 7.0 Displacement Discontinuity Modeling of Cracks.- 7.1 Introduction.- 7.2 Formulation of the Three-Dimensional Traction BIE for Flat Cracks.- 7.3 Formulation of the Two-Dimensional Traction BIE.- 7.4 Near Crack Tip Solution to BIE.- 7.5 Current Numerical Method.- 7.6 Numerical Results.- References.- 8.0 Two-Dimensional Weight Function Evaluation.- 8.1 Introduction.- 8.2 Formulation of the Weight Function BIE.- References.

ISBN: 9789024736140
ISBN-10: 9024736145
Series: Mechanics: Computational Mechanics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 180
Published: 1988
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.1
Weight (kg): 0.43