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The Plane Stress Crack-Tip Field for an Incompressible Rubber Material

THE PLANE STRESS CRACK-TIP FIELD FOR AN INCOMPRESSIBLE RUBBER MATERIAL
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摘要 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→∞ . 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→∞ .
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第5期499-506,共8页 应用数学和力学(英文版)
关键词 incompressible material plane stress condition crack-tip field fully nonlinear equilibrium theory incompressible material, plane stress condition, crack-tip field,fully nonlinear equilibrium theory
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