压力敏感性材料球形孔洞动态扩展问题  

Dynamic spherical cavity expansion in the pressure sensitive medium

作　　者：唐立强[1] 于雪梅[1,2] 吴国辉 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001 [2]中航工业哈尔滨飞机工业集团有限责任公司飞机设计所,哈尔滨150066

出　　处：《哈尔滨工业大学学报》2010年第4期665-668,共4页Journal of Harbin Institute of Technology

基　　金：黑龙江省自然科学基金资助项目(A2004-08)

摘　　要：为进一步研究岩土材料爆炸场的特点,采用椭圆型屈服准则和自相似假设,并结合Hopkins三区模型,研究幂硬化材料球形孔洞动态扩展问题.通过对弹性区的研究得出弹性区应力的分布和弹塑性交界处的连续条件;然后在塑性区给出一个求解动态扩展问题的非线性微分方程组;最后通过打靶法数值求解该非线性微分方程组,给出满足边界条件的数值解,并讨论材料参数对场量的影响.结果表明,椭圆型屈服准则能很好地描述压力敏感性材料中孔洞的动态扩展.In order to study the characteristics of blast in geotechnical materials,the material behavior of power-hardening solid was investigated by the elliptic-equation yield criteria and self-similar hypothesis with a Hopkins three region model.First,by studying elastic region,the stress distribution and the continuous conditions in the intersection of plastic and elastic areas were given.Then the nonlinear differential equations to solve the problem of dynamic expansion in the plastic zone were deduced.At last,numerical solutions of the non-linear differential equations which meet with the given boundary conditions were obtained by shooting method,the effects of material parameters on the stress-strain fields were also discussed.Result shows that the elliptic-equation yield criteria can discribe the dynamic expansion of spherical cavity in pressure-sensitive medium.

关 键 词：压力敏感材料 球形孔洞扩展 幂硬化材料 屈服准则 

分 类 号：O344.7[理学—固体力学]