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Published 1982 | public
Book Section - Chapter

Localized Shear Near The Tip of a Crack in Finite Elastostatics


This paper describes some recent results concerning crack problems in finite anti-plane shear for a class of incompressible elastic materials for which the associated equilibrium equations lose ellipticity at sufficiently severe deformations. The principal feature of the elastic fields arising in these problems is the presence near a crack-tip of curves bearing discontinuities in displacement gradient and stress.

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© 1981 Martinus Nijhoff Publishers. Received September 11, 1980. Most of the results described in this paper were obtained in the course of an investigation supported by the Office of Naval Research.

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August 19, 2023
October 18, 2023