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Large deformations near a tip of an interface-crack between two Neo-Hookean sheets

Abstract

This paper contains an asymptotic investigation - within the nonlinear theory of elastostatic plane stress - of the deformations and stresses near the tips of a traction-free interface-crack between two dissimilar semi-infinite Neo-Hookean sheets. The results obtained are free of oscillatory singularities of the kind predicted by the linearized theory, which would require the two deformed faces of an interface-crack to overlap in the vicinity of its tips. Instead, the crack is found to open smoothly near its ends, regardless of the specific loading at infinity.

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The results communicated in this paper were obtained in the course of an investigation supported in part by Contract N00014-75-C-0196 with the Office of Naval Research in Washington, D.C.

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Knowles, J.K., Sternberg, E. Large deformations near a tip of an interface-crack between two Neo-Hookean sheets. J Elasticity 13, 257–293 (1983). https://doi.org/10.1007/BF00042997

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Keywords

  • Large Deformation
  • Plane Stress
  • Nonlinear Theory
  • Specific Loading
  • Asymptotic Investigation