Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (5): 499-506.

• Articles • Previous Articles    

THE PLANE STRESS CRACK-TIP FIELD FOR AN INCOMPRESSIBLE RUBBER MATERIAL

Gao Yu-chen, Shi Zhi-fei   

  1. Harbin Shipbuilding Engneering Institute, Harbin
  • Received:1993-10-31 Online:1994-05-18 Published:1994-05-18
  • Supported by:

    Project supported by the National Science Foundation of China

Abstract: The crack-tip field under plane stress condition for an incompressible rubbermaterial[1] is investigated by. the use of the fully nonlinear equilibrium theory. It isfound thai the crack-tip field is composed of two shrink sectors and one expansion se-ctor. At the crack-tip, stress and strain possess the singularity of R-1 and R-1n, respec-tively, (R is the distance to the crack-tip before deformation, n is the material const-ant). When the crack-tip is approached, the thickness of the sheet shrinks to zerowith the order of R1.4n. The results obtained in this paper are consistent with that ob-tained in [8] when s→χ.

Key words: constrained generalized Hamiltonian system, Lie group integration, projection technique, incompressible material, plane stress condition, crack-tip field, fully nonlinear equilibrium theory

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