摘要
研究了一类含有微孔的可压缩超弹性材料球体在给定表面拉伸作用下的有限变形问题,得到了问题的解析解.讨论了预存微孔的增长与给定表面伸长之间的关系,通过数值算例分析了预存微孔半径大小对微孔增长的影响.结果表明,当给定的径向拉伸很小时,预存微孔几乎没有增长,但是当拉伸接近某个临界值时,预存微孔会迅速增长.
The problem of finite deformation of a sphere with a preexisting microvoid, which is composed of a class of compressible hyperelastic materials, under a prescribed boundary tension is examined. The analytic solution of the problem is obtained and the relationship between the growth of microvoid and the prescribed boundary tension is discussed. Finally, the effect of growth of microvoid on the value of radius of the preexisting void is analyzed through the numerical example. Further, it is pointed out that the microvoid grows very slow as the radial tensile is small and grows very fast as the radial tensile approaches to certain critical value.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2005年第1期74-78,共5页
Journal of Yantai University(Natural Science and Engineering Edition)
关键词
可压缩超弹性材料
解析解
预存微孔
compressible hyperelastic material
analytic solution
preexisting void
