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High Order Asymptotic Field for Plane Stress Crack Problem

High Order Asymptotic Field for Plane Stress Crack Problem
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摘要 This paper presents an exact analysis for high order asymptotic field of theplane stress crack problem.It has been shown that the second order asymptotic field is notan independent eigen field and should be matched with the elastic strain term of the firstorder asymptotic field.The second order stress field ahead of the crack tip is quite smallcompared with the first order stress field.The stress field ahead of crack tip is character-ized by the HRR field.Hence the J integral can be used as a criterion for crack initiation. This paper presents an exact analysis for high order asymptotic field of the plane stress crack problem.It has been shown that the second order asymptotic field is not an independent eigen field and should be matched with the elastic strain term of the first order asymptotic field.The second order stress field ahead of the crack tip is quite small compared with the first order stress field.The stress field ahead of crack tip is character- ized by the HRR field.Hence the J integral can be used as a criterion for crack initiation.
机构地区 Institute of Mechanics
出处 《Science China Mathematics》 SCIE 1993年第9期1073-1083,共11页 中国科学:数学(英文版)
基金 Project supported by the National Natural science Foundation of china.
关键词 PLANE STRESS high order ASYMPTOTIC FIELD J INTEGRAL elasto-plastieity plane stress high order asymptotic field J integral elasto-plastieity
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