压力敏感性材料准静态扩展裂纹尖端场  

Crack-tip field of a quasi-static crack growing in a pressure-sensitive material

作　　者：麻文军[1] 唐立强[2] 

机构地区：[1]哈尔滨工程大学理学院,黑龙江哈尔滨150001 [2]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2009年第1期116-120,共5页Journal of Harbin Engineering University

摘　　要：为了研究压力敏感性材料的准静态扩展裂纹尖端场,建立了压力敏感性材料准静态扩展裂纹的力学模型.在稳态扩展阶段,应力和应变具有相同的奇异量级,即(σ,ε)∝r-1/(n-1).引入Airy应力函数,通过渐近分析得出了裂纹尖端应力和应变的分离变量形式的渐近解,并采用双参数打靶法求得了裂纹尖端应力和应变的数值结果.数值计算结果表明,裂尖场主要受材料的泊松比ν和幂硬化指数n的控制.通过对裂纹尖端场的渐近分析,从应变角度出发,提出了压力敏感性材料准静态扩展裂纹的断裂判据.A mechanical model of pressure-sensitive materials was established to investigate quasi-static growing crack-tip fields in pressure-sensitive materials. In the stable growth stage, stress and strain have the same singularity, namely, （σ,ε）∝τ^-1/（n-1）. The variable-separable asymptotic solutions of stress and strain at the crack tip were obtained by adopting Airy＇s stress function and the numerical results of stress and strain in the crack-tip field were obtained by the two-parameter shooting method. The results show that the near-tip fields are mainly governed by the power-hardening exponent n and Poisson＇s ratio of the pressure-sensitive materials. According to asymptotic analysis of the crack-tip field as viewed from the strain, fracture criterion was put forward for quasi-static crack growth in a pressure-sensitive material.

关 键 词：压力敏感性材料 准静态扩展裂纹 裂纹尖端场 渐近分析 

分 类 号：O34[理学—固体力学]