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幂硬化介质中平面应力动态裂纹的尖端弹塑性场
引用本文:章梓茂,高玉臣.幂硬化介质中平面应力动态裂纹的尖端弹塑性场[J].力学学报,1988(1).
作者姓名:章梓茂  高玉臣
作者单位:哈尔滨船舶工程学院 (章梓茂),哈尔滨船舶工程学院(高玉臣)
摘    要:本文采用塑性动力学方程,对幂硬化介质中平面应力动态裂纹尖端场进行了渐近分析,其结果表明:在裂纹尖端附近,应力具有的奇异性,应变具有的奇异性,其中A是一个与塑性区尺寸有关的常数因子,r是离开裂纹尖端的距离,n为硬化指数,文中给出了尖端场的控制参量D,它依赖于马赫数;并且给出了各物理量的角函数。

关 键 词:幂硬化材料  应变奇异性  奇异性因子  弹性角区  塑性角区

PLASTIC STRESS DYNAMIC FIELDS NEAR A PROPAGATING CRACK-TIP IN A POWER-LAW MATERIAL
Zhang Zimao,Gao Yuclien.PLASTIC STRESS DYNAMIC FIELDS NEAR A PROPAGATING CRACK-TIP IN A POWER-LAW MATERIAL[J].chinese journal of theoretical and applied mechanics,1988(1).
Authors:Zhang Zimao  Gao Yuclien
Abstract:Based on plastic-dynamic equation, the asymptotic behaviour of the near-tip fields for a plane stress tensile crack propagating in a power-law material has been studied in this paper. It is shown that the stress and strain singularities are, respectively, of the orderand where A is a constant which is related to the size of plastic region,r is the distance to the crack tip, n is the power-law exponent.
Keywords:power-law material  strain singularity  singularity-factor  elastic region  plastic region  
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