A method is proposed for the approximate evaluation of normal displacements and normal stresses on the plane of two coplanar cracks located inside an infinite isotropic elastic solid and subjected to normal internal pressure. The formulation results in a single integral equation for the unknown norm
Handbook of Elasticity Solutions || A crack in an infinite isotropic two-dimensional solid
โ Scribed by Kachanov, Mark; Shafiro, Boris; Tsukrov, Igor
- Book ID
- 120079224
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 774 KB
- Edition
- 1
- Category
- Article
- ISBN
- 9401701695
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โฆ Synopsis
This handbook is a collection of elasticity solutions. Many of the results presented here cannot be found in textbooks and are available in scientific articles only. Some of them were obtained in the closed form quite recently. The solutions have been thoroughly checked and reduced to a "user friendly" form. Every effort has been made to keep the book free of misprints. The theory of elasticity is a mature field and a large number of solutions are ava- able. We had to make choices in selecting material for this book. The emphasis is made on results relevant to general solid mechanics and materials science appli- tions. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity. We are grateful to B. Nuller for several clarifications concerning the contact pr- lem and to V. Levin for suggestions on Eshelby's problem. We also appreciate a n- ber of remarks and comments made by L. Germanovich, I. Sevostianov, O. Zharii and R. Zimmerman. We are particularly indebted to E. Karapetian for a substantial help in putting the material together.
๐ SIMILAR VOLUMES
In this paper we consider the problem of determining the distribution of stress in the neighbourhood of a crack in an infinitely long strip bonded to semi-infinite elastic planes on either side. By the use of Fourier transforms we reduce the problem to solving a single Fredholm integral equation of