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Localized shear discontinuities near the tip of a mode I crack

✍ Scribed by Rohan Abeyaratne; Jae-Sung Yang

Publisher
Springer Netherlands
Year
1987
Tongue
English
Weight
745 KB
Volume
17
Category
Article
ISSN
0374-3535

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✦ Synopsis

In this paper we study the deformation and stress fields near the tip of a crack under plane strain mode I conditions. A fully nonlinear theory of finite deformations is used and the material, which is assumed to be homogeneous, isotropic, incompressible and elastic, is characterized by its stress-strain behavior in simple shear. For the class of materials considered the governing system of differential equations may lose ellipticity at sufficiently severe strains. The analysis is based on a direct asymptotic calculation. The results involve two curves, issuing from each crack-tip, across which the deformation gradient, the 'effective shear' and the stresses are discontinuous.

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