Abstract
Using the assumptions of G.I. Barenblatt the problem of determining the stresses over the entire surface of an equilibrium crack is formulated as a mixed-mixed boundary value problem in the classical theory of elasticity. Solutions are obtained for a penny-shaped crack in an infinite, elastic medium under conditions of uniform tension parallel to the axis of the crack and uniform shear parallel to the plane of the crack. The analogous two dimensional problem for simple tension is also investigated. The results show that the stress distribution at the edge of the crack depends only slightly upon the applied stresses when compared with the stresses associated with cohesive forces. The distance over which the cohesive forces act is computed in terms of Barenblatt's modulus of cohesion.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 149-163 |
| Number of pages | 15 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1964 |
Funding
THE author wishes to thank Professor R. D. Mindlin for his many helpful discussions and particularly for pointing out (8.II) and (8.12) which allowed an easy solution to the problem in Section 8. The Office of Naval Research supported this work.
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering