弹塑性状态下Ⅰ型裂纹前缘应力应变场的奇异性分析
The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State
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摘要: 本文从弹塑性力学的三维基本方程出发,分析了幂硬化材料Ⅰ型裂纹前缘应力、应变场的奇异性,发现,裂尖附近诸应力、应变分量的奇异性沿厚度不变;六个应力分量的奇异性不完全相同,六个应变分量的奇异性也不完全相同.Abstract: The stress and strain singularities of power hardening material for Mode I fracrure are analysed according to the fundamental equations of elastic-plastic mechanics. It is found that the singularities of all stress and strain components do not change in the thick direction, and neither the six stress components nor the six strain components have the same singularity.
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[1] Hutchinson,J.W.,Singular behavior at the end of a tensile crack in a hardening material,J.Mech.Phys.Solids,16,1(1968),13-31. [2] Rice,J.R.and G.R.Rosengren,Plane strain deformation near a crack tip in a power-law hardening material,J.Mech.Phys.Solids,16,1(1968),1-12. [3] Bapu Rao,M.N.,Three-dimensional analysis of a finite thick plate with a thorough crack,Int.J.Fract.,17,1(1981),43-45. [4] Bapu Rao,M.N.,Three-dimensional stress problem of a finite thick plate with a thorough crack under tension,Proceedings of ICF6,2(1984),963-969. -
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