不可压缩球体的空穴和分叉

Cavitation and bifurcation in an incompressible sphere

利用Y.C.Gao给出的一类应变能函数,分析了不可压缩球体受静载荷作用时空穴的产生和增长问题,给出了存在分叉解的条件,确定了载荷与空穴半径的函数关系,以及本构参数对临界力的影响,讨论了空穴情形的应力分布以及预先存在微空穴的增长.结果表明本构参数n<1.5时,产生空穴,临界力随着n的变大而变大.

Based on a strain energy function proposed by Y.C. Gao, an incompressible solid sphere under boundary dead loading was analyzed. The condition under which a bifurcated solution exists was examined. The relationship between dead load and radius and the influence of constitutive constants on the critical load were derived. The stress distribution was given and the growth of pre-existing micro-void was discussed. The results indicate that when the constitutive parameter is less than 1.5, bifurcation initiates. The critical pressure increases with the increasing.