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应变损伤材料I型动态扩展裂纹尖端场的渐近分析
The Asymptotic Analysis to the Mode-I DynamicCrack-tip Field in a Strain-damage Material
【摘要】 研究了应变损伤材料I型动态扩展的裂纹尖端场。假定材料服从J_2流动理论,且损伤规律以幂律应变软化的规律给出。对于塑性区引进了应力函数φ,ψ。借助于动力学方程的分析,给出了渐近方程及数值解。结果表明,对于可压缩材料I型平面应变尖端场是完全由塑性区组成,没有弹性卸载区。在裂纹尖端附近,应力和应变分别具有如下的奇异性:
【Abstract】 In this paper the mode I dynamic crack-tip field propagating in a strain-damage material is stud-ied The mediam is assumed to obey the J1 flow theory and the damage rule is given asymptotically ina form like power-lawe strain softening. Two stress functions φ,ψ are introduced for plastic domain.By means of dynamic equations, the asymptotic equations are given and sofved numerically. The re-sults show that for general compressible materials , the mede I plane strain crack-tip field is fully plas-tic, there is no unloading elastic region. At the crack tip the strain possesses the logarithmic singularity(ln), while the stress is like(ln)
【Key words】 strain-damage material; strain singularity; asymptotic analysis; power-law softening.;
- 【文献出处】 应用力学学报 ,CHINESE JOURNAL OF APPLIED MECHANICS , 编辑部邮箱 ,1994年03期
- 【分类号】O346.1
- 【下载频次】47