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The role of higher order eigenfields in elastic-plastic cracks

机译:高阶本征场在弹塑性裂纹中的作用

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The two-state conservation law is utilized, in conjunction with finite element analysis, to obtain the complete Williams eigenfunction series for elastic-plastic cracks, including the intensities not only for the inverse square root singularity and the T-stress but for the higher order singular and nonsingular terms as well. It is shown that the J-integral comprises only the contributions from the mutual interaction between all complementary pairs of the eigenfields. The same applies to the M-integral with a slightly different definition for the complementary pair.
机译:利用两态守恒定律,结合有限元分析,获得了完整的弹塑性裂纹威廉姆斯本征函数级数,不仅包括反平方根奇异性和T应力的强度,还包括高阶强度的强度。单数和非单数术语也是如此。结果表明,J积分仅包含本征场所有互补对之间相互作用的贡献。 M积分也是如此,互补对的定义略有不同。

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