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Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results

Knowles, J. K. and Sternberg, Eli (1974) Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results. Journal of Elasticity, 4 (3). pp. 201-233. ISSN 0374-3535. doi:10.1007/BF00049265.

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In this paper we return to the asymptotic analysis, within the nonlinear equilibrium theory of compressible elastic solids, of the deformations and stresses near the tip of a traction-free crack in a slab of all-around infinite extent under conditions of plane strain. As before, the loading at infinity is taken to be one of uniform uni-axial tension at right angles to the faces of the crack. We show that once a restrictive assumption introduced at the start of our earlier asymptotic treatment of the problem is relinquished, certain perplexing anomalies encountered in the previous analysis no longer arise. The present reconsideration of the problem leads to modifications in the dominant-order results for the “secondary” deformations and stresses, while those pertaining to the physical quantities of primary interest remain unaffected. Furthermore, this investigation encompasses some higher-order considerations, which supply an essential clarification and improvement of the lowest-order asymptotic solution.

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Additional Information:© 1974 Noordhoff International Publishing. Received April 28, 1974. The results communicated in this paper were obtained in the course of an investigation conducted under Contract N00014-67-A-0094-0020 of the California Institute of Technology with the Office of Naval Research in Washington, D. C.
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Office of Naval Research (ONR)N00014-67-A-0094-0020
Issue or Number:3
Record Number:CaltechAUTHORS:20150630-082317785
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58692
Deposited By: Tony Diaz
Deposited On:08 Jul 2015 18:27
Last Modified:10 Nov 2021 22:09

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