摘要
根据最小势能原理,将应变能对右Green-Cauchy应变张量的二阶变分的正定性作为判别超弹性材料应变场稳定性的一个充分条件,用这个条件可以判别超弹性材料在某些条件下的稳定性。对平面应变单向拉伸问题的平衡稳定性进行了讨论,以文献[1,2]提出的应变能函数为例,给出稳定状态临界载荷的一个范围,并对无限拉长的平衡状态的稳定性进行了渐进分析。结果表明,无限拉长的平衡状态是稳定的。
According to principle of minimum potential energy, a sufficient condition for static stability of hyper elastic material is proposed by the positive definite of the second variation of potential energy to the fight Green-Cauchy strain tensor. The stability of simple tension in plane strain is discussed. A range of load for stability is given. An asymptotic analysis is given for infinite tension, which indicated that the infinite tension is stable
出处
《株洲工学院学报》
2005年第6期10-12,共3页
Journal of Zhuzhou Institute of Technology
关键词
超弹性
非线性
稳定
hyper elastic
nonlinear
stability
