类橡胶材料变形直到破坏的显式本构模型

本文通过直接、显式的方法提出一个多轴可压缩应变能弹性势来模拟类橡胶材料受载荷直到软化破坏的变形行为.首先,我们提出一个多轴可压缩应变能函数;其次,通过特定的不变量,该多轴应变能函数在单轴拉伸,平面应变和等双轴拉伸三个基准实验的情况下,可以退化为各自的单轴形函数形式;再次,我们显式给出带有软化破坏特性的形函数;最后,模型结果和试验数据可以精确匹配,同时可以预测材料临近破坏以后,接下来的变形行为.

Explicit Constitutive Model of Rubber-Like Materials up to Failure

A direct, explicit compressible multi-axial strain energy potential is proposed to simulate the deformation behavior of rubber-like materials up to softening and failure. First, a multi-axial strain energy function is given out. Second, the multi-axial strain energy can reduce to the one-dimensional shape function via specific invariables under the condition of uniaxial tension, equi-axial tension, and plane strain, respectively. Third, we explicitly give out the shape function up to failure. Finally, the model result can exactly match the test data, and further predict the behavior after the break point.