Screen LibraryHypersingular integral equations in fracture analysis /
Hypersingular integral equations in fracture analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular in...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Woodhead Publishing,
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| Publisher Address: | Cambridge, UK : |
| Publication Dates: | 2013. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Woodhead Publishing in mechanical engineering
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| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780857094797 |
| Summary: |
Hypersingular integral equations in fracture analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral e. |
| Carrier Form: | 1 online resource (193 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
0857094807 9780857094803 |
| Index Number: | TA409 |
| CLC: | O346.1 |
| Contents: |
Cover; Hypersingular integral equations in fracture analysis; Copyright; Dedication; Contents; List of figures; List of tables; Preface; The author; Chapter 1 Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; 1.1 Elastic crack problems; 1.2 Linear fracture mechanics; 1.3 Equations of anisotropic elasticity; 1.4 Hadamard finite-part integrals; Chapter 2 Hypersingular integral equations for coplanar cracks in anisotropic elastic media; 2.1 Fourier integral representations for displacements and stresses. 2.2 Coplanar cracks in a homogeneous elastic full space2.3 A periodic array of coplanar cracks; 2.4 Coplanar cracks in an infinitely long homogeneous elastic slab; 2.5 Coplanar cracks between two dissimilar homogeneous elastic half spaces; 2.6 Stresses near crack tips; 2.7 Summary and remarks; Chapter 3 Numerical methods for solving hypersingular integral equations; 3.1 Hypersingular integral equations; 3.2 Collocation technique of Kaya and Erdogan; 3.3 Crack element method; 3.4 Summary; Chapter 4 Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body. 4.1 A plane elastostatic crack problem4.2 Hypersingular boundary integral equation method; 4.3 Hypersingular integral equations for arbitrarily located planar cracks in idealised elastic spaces; 4.4 Summary; Chapter 5 A numerical Green's function boundary integral approach for crack problems; 5.1 Special Green's functions for crack problems; 5.2 A numerical Green's function for arbitrarily located planar cracks; 5.3 A numerical Green's function boundary integral equation method for multiple planar cracks; 5.4 Summary and remarks; Chapter 6 Edge and curved cracks and piezoelectric cracks. 6.1 An edge crack problem6.2 A curved crack problem; 6.3 Cracks in piezoelectric solids; Appendix A Computer programmes for the hypersingular boundary integral equation method; Appendix B Computer programmes for the numerical Green's function boundary integral equation method; Bibliography; Index. |