幂硬化不可压缩材料平面应变问题的解法
Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material
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摘要: 根据Илюшин微小弹塑性变形理论,本文导出了幂硬化不可压缩材料平面应变问题的基本方程. 另外,本文提出了这些基本方程的两种解法,即位移函数-应力法和应力函数-应变法.举了两个实例来说明这两个方法的应用.Abstract: According to Iliushin's small elastic-plastic deformation theory,in this paper,we derive the basic equations of plane-strain problems in a power hardening and incompressible material.In addition,this paper presents two methods to solvethese basic equations,i.e. the displacement function_stress method and the stress function_strain method. Twoexamples have been calculated to illustrate the application of these two methods.
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[1] Соколовский В.В.,Теорця Плсмцчкосмц,Москва,(1950). [2] Rice,J.R.,et al.,Plane strain deformation near a crack tip in a power-law hardening material,J.Mech.Phys.Solids 16,1(1968),1-12. [3] Hutchinson,J.W.,Singularbehaviour at the end of a tensile crack in a hardening material,J.Mech.Phys.Solids,16,1(1968),13-31. [4] Hutchinson,J.W.,Plastic stress and strain fields at a crack tip,J.Mech.Phys.Solids,16,5(1968),337-347． -
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