Multiple crack problems in elasticity
著者
書誌事項
Multiple crack problems in elasticity
（Advances in damage mechanics, v. 4）
WIT, c2003
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注記
One CD-ROM in pocket attached to inside back cover
Includes bibliographical references and index
内容説明・目次
内容説明
In this volume various integral equations for multiple crack problems in plane elasticity are investigated. Formulation of the problems is based on relevant elementary solutions in which the complex variable function method is used. The multiple crack problem is considered as a superposition of many single crack problems while many more complicated cases, including bonded dissimilar materials and multiple thermally insulated crack problems, are considered. Miscellaneous problems, including the multiple rigid line problem and the multiple circular hole problem are studied. Solutions for three-dimensional multiple crack problems are also investigated by using the Fredholm integral equation, the hypersingular integral equation and the variational principle. Many programs for multiple crack problems using FORTRAN are featured. A CD-ROM containing solutions is also included.
目次
- Chapter 1 Fundamental of plane elasticity crack problem : Introduction
- Cauchy integrals
- Some elementary formulae for the calculation of Cauchy integrals
- Poincare-Bertrand formula
- Basic equations of complex variable function method in plane elasticity
- Elementary solutions initiated by point sources
- Elementary solutions for a single crack problem
- Modified complex potentials for the case of bonded half-planes
- Modified complex potentials for the case of circular boundary
- Eigenfunction expansion form and singular stress field at the vicinity of crack tip
- Logarithmic singularity at crack tip in plane elasticity. Chapter 2 Multiple crack problems in an infinite plate : Introduction
- Singular integral equation for the multiple crack problem (type S1)
- First type of Fredholm integral equation for the multiple crack problem (type R1A)
- Alternative Fredholm integral equation for the multiple crack problem (type R1B)
- Alternative singular integral equation for the multiple crack problem (type S2)
- Third type of Fredholm integral equation for the multiple crack problem (type R2)
- Hypersingular integral equation for the multiple crack problem (type HS)
- General case of the multiple crack problem
- Multiple semi-infinite crack problem in an elastic plane
- Integral equations for the multiple crack problem in antiplane elasticity
- T-stress analysis in the multiple e crack problem
- Interactions between main crack and microcracks. Chapter 3 Multiple crack problems in more complicated cases : Introduction
- Multiple crack problems or circular regions
- Multiple cracks in a pressurized cylinder
- Multiple crack problems of circular region in antiplane elasticity
- Multiple crack problems for two bonded half-planes in plane and antiplane elasticity
- Multiple crack problem for an infinite strip
- Multiple crack problem for a finite plate
- Multiple crack problem for a rectangular region in antiplane elasticity
- Periodic crack problem in plane elasticity
- Doubly periodic crack problem in an infinite plate
- Multiple branch crack problem in plane elasticity
- Solution of multiple crack problem of elastic half-plane by using singular integral approach
- Interaction between a hole edge crack and line crack
- Interaction between an oblique edge crack and an internal crack in a cracked half-plane
- Collinear crack problems in an infinite plate
- An infinite plate containing hypocycloid hole with many cusps
- Solution of an tiplane elasticity crack problem using conformal mapping
- Solutions of torsion crack problems of a rectangular bar
- Solutions of torsion crack problems of a circular cross section bar. (part contents)
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