球形孔洞膨胀动态问题的弹性-损伤力学分析

Dynamic analysis of elastic and damage mechanics on spherical cavity expansion problem

摘要:

研究了材料还没有出现塑性变形、仅含弹性区和损伤区的球形孔洞动态扩展问题．首先通过对弹性区的研究以及初始损伤分析获得弹性区的场量分布,并给出弹性／损伤区交界处的边界连续条件;然后在自相似假设条件下,推导出动态扩展时损伤区需满足的控制方程;最后通过打靶法进行数值求解．数值分析表明,许多材料参数如ν、n、m都对弹性区和损伤区的场量分布有影响．

Abstract:

The dynamic spherical cavity expansion with damage and elastic area was investigated when distortion is so small that no plastic area arisen. First, by study of elastic region and initial damage, the stress distribution and the continuous conditions in the intersection of damage and elastic regions were given. Then the governing equations to solve the problem of dynamic expansion in the damage zone were deduced. Finally, numerical solutions of the non-linear differential equations were obtained by shooting method. The results show that some material parameters such as v、n、m have influence on the field quantities of elastic and damage regions.