Knowles, James K. (1977) The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. International Journal of Fracture, 13 (5). pp. 611-639. ISSN 0376-9429. doi:10.1007/BF00017296. https://resolver.caltech.edu/CaltechAUTHORS:20150728-111035202
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Abstract
The present paper is concerned with an infinite slab containing a crack and deformed at infinity to a state of finite simple shear. The material of the slab is taken to be homogeneous, isotropic, elastic, and incompressible, and is further assumed to belong to a class of materials which admit nontrivial states of anti-plane shear. The analysis is carried out for the fully nonlinear equilibrium theory of finite elasticity. The stress field near the crack-tips is studied in detail; one of the special materials considered is such that the shear stresses near a crack tip remain bounded, despite the presence of unbounded displacement gradients. An analogy between the crack problem in finite anti-plane shear and the problem of transonic flow of a gas past a flat plate is pointed out and discussed.
| Item Type: | Article | ||||||
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| Additional Information: | © 1977 Noordhoff International Publishing. Received July 30, 1976. The results communicated in this paper were obtained in the course of an investigation supported under Contract N00014-75-C-0196 between the California Institute of Technology and the Office of Naval Research. The author acknowledges the many helpful comments of Eli Sternberg during the preparation of the manuscript. | ||||||
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| Issue or Number: | 5 | ||||||
| DOI: | 10.1007/BF00017296 | ||||||
| Record Number: | CaltechAUTHORS:20150728-111035202 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150728-111035202 | ||||||
| Official Citation: | Knowles, J.K. The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int J Fract 13, 611–639 (1977). https://doi.org/10.1007/BF00017296 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 59037 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 28 Jul 2015 18:17 | ||||||
| Last Modified: | 10 Nov 2021 22:14 |
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