平面应变条件下裂纹尖端附近的弹塑性近似分析
An Asymptotic Elastic Plastic Analysis in Plane Strain Deformation near a Crack Tip
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摘要: 本文给出了平面应变条件下裂纹尖端附近的弹塑性的应力、应变和位移的解析近似解,其特例即Irwin的弹性主项解,从而使弹塑性断裂力学分析所需的一切场量都可以从文中得到.Abstract: In this Paper,an asymptotic elastoplastic analysis in plane strain deformation near a crack tip is established. The special case of which is the well-known Irwin's solution in elastic material.
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[1] 陈旎,考虑到硬比的塑性区修正.金属断裂研究文集.北京,(1978). [2] Hutchinson,J.W.,Singular behaviour at the end of a tensile crack in a hardening material,J.Mech.Phy.Sol,16(1) (1968). [3] Hutchinson,J.W.,Plastic stress and strain fields at a crack tip,J.Mech.Phy.sol.,16,(5) (1968). [4] Rice J.R.,Rosengren,G.F.,Plane strain deformation near a carck tip in a power-law hardening material,J.Mech.Phy.sol.,16(1) (1968). [5] Uhlmann,W.Knesl,Z.Kuna,M.Bilek,Z.Approximate representation of elastic-plastic small scale yielding solution for crack problems,Int.J.Fract,12,(3) (1976),507-509. [6] 钢铁研究院金属物理室.《工程断裂力学》,国防工业出版社,北京,(19.77). -
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