守恒积分与奇性场的定解方程
Conservation Integrals and Determination of HRR Singularity Fields
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摘要: 本文利用守恒积分,对HRR奇性场的角分布函数作了进一步的探讨.证明了角分布函数满足两个函数方程.并由此导出几种新的定解方程.对于平面应变及平面应力的情况分别给出函数方程与定解方程的具体公式.最后针对若干典型情况,给出了不同定解方程的精确的数值计算结果,验证了在一般情况下不同定解方程的等价性.Abstract: The angular distribution functions of HRR singularity fields are analyzed via conservation integrals. Two functional equations are proved for the angular distribution-functions andean be used for their solutions. The detailed forms of the functional equations and the final governing equations for solutions are given for the cases of plane strain and plane stress. Accurate numerical results are also given for some typical parameters and the equivalence of different governing equations is proved.
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[1] Hutchinson,J.W.,J.Mech.Phys.Solids,16(1968),13-31,337-347. [2] Rice.J.R.and G.R.Rosengren,J.Mech.Phys.Solids,16(1968),1-12. [3] Rice.J.R.,J.Appl.Mech.,35(1968),379-386. [4] Shih,C.F.,ASTM STP 560(1974),187-210. [5] Knowles,J.K.and E.Sternberg,Archives for Rat.Mech.Analysis,44(1971/72),187-211. -
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