A new integral equation is proposed in this paper to investigate the problems of branch cracks with arbitrary configuration in plane elasticity. In the new integral equation, the unknown functions are the usual dislocation functions, and the right hand terms of the integral equations represent the r
Solution of the problem of a crack in a finite plane region using an indirect boundary-integral method
β Scribed by Ali Mir-Mohamad-Sadegh; Nicholas J. Altiero
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 294 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0013-7944
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β¦ Synopsis
Aktraet--In a previous paper [l], an indirect boundary-integral approach was developed for the treatment of a finite, plane, iinoar-elastic region weakened by a hole of arbitary shape. It was suggested there that this method would yield excellent results on and near the hole boundary.
In this presentation, the method is applied to the problem of a finite, plane, linear-elastic region containing a sI~p crack. Numerical results are obtained for a simple geometry and the crack-openingdisplacement and crack tip stresses are compared to the known solution. It is shown that the boundaryintegral solution is quite accurate.
π SIMILAR VOLUMES
The generalized variational method is combined with Murthy's eigenfunction expansion forms for a cracked Reissner plate. The approximate analytical solutions are presented for mixed boundary problems. The boundary effects are examined and discussed in detail.
Two-dimensional linear elastic fracture mechanics analysis of the opening-mode crack problem is carried out, in order to use a localized finite element method. The stress distribution near the crack-tip is stated in the form of eigensolutions obtained by a classical separation variables technique.
In this paper, the elastic-perfectly plastic antiplane problem of a crack in anisotropic plane of finite width is studied. Using the methods of Rice and Lekhnitskii, an exact solution in closed form is obtained.
## Abstract An hypersingular integral equation of a threeβdimensional elastic solid with an embedded planar crack subjected to a uniform stress field at infinity is derived. The solution of the boundaryβintegral equation is succeeded taking into consideration an appropriate Gauss quadrature rule fo