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The plane stress crack-tip field for an incompressible rubber material

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Abstract

The crack-tip field under plane stress condition for an incompressible rubber material[1] is investigated by the use of the fully nonlinear equilibrium theory. It is found that the crack-tip field is composed of two shrink sectors and one expansion sector. At the crack-tip, stress and strain possess the singularity of R−1 and R−1 n, respectively, (R is the distance to the crack-tip before deformation. n is the material constant). When the crack-tip is approached, the thickness of the sheet shrinks to zero with the order of R1 4n. The results obtained in this paper are consistent with that obtained in[8] when s→∞.

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References

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Authors and Affiliations

  1. Harbin Shipbuilding Engineering Institute, Harbin

    Gao Yu-chen & Shi Zhi-fei

Authors
  1. Gao Yu-chen
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  2. Shi Zhi-fei
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Additional information

Communicated by Chien Wei-zang

Project supported by the National Science Foundation of China

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Yu-chen, G., Zhi-fei, S. The plane stress crack-tip field for an incompressible rubber material. Appl Math Mech 15, 499–506 (1994). https://doi.org/10.1007/BF02451500

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  • DOI: https://doi.org/10.1007/BF02451500

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