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

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 R^1.4n. 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