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Boundary element analysis in computational fracture mechanics

Author: Thomas A Cruse
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1988.
Series: Mechanics--computational mechanics, 1.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys-  Read more...

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Document Type: Book
All Authors / Contributors: Thomas A Cruse
ISBN: 9024736145 9789024736140
OCLC Number: 17775904
Description: xiii, 162 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Mechanics--computational mechanics, 1.
Responsibility: T.A. Cruse.
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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 Read more...

 
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