JOURNAL ARTICLE

弹塑性幂硬化材料裂纹尖端场的高阶渐近分析

霖 夏自强 王

Year: 1993 Journal:   Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 23 (10)Pages: 1092-1104   Publisher: Science China Press

Abstract

本文对平面应变状态下弹塑性幂硬化材料的裂纹尖端应力应交场,进行了严格的高阶渐近分析,得到了裂尖应力场渐近级数展开式前四项或前五项的全部解答.分析表明,当1.63.7时,弹性性质的影响将会进入比四阶更高的应力场,而此时四阶场则是独立的特征场.分析还表明,只要 n>1.6,三阶应力场总是不独立的,它的幅值 K)3不是与一阶场的 K1相关,就是同时与 K1和 K2相关.最后还将所得结果与已有的有限元数值结果作了比较,两者符合得相当好.

Keywords:
Materials science Physics

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