摘要
讨论了不可压缩性对超弹性材料应力－应变关系的影响；通过对各种有限元方法的分析比较，适当修改了已有的应变能密度函数的形式使之更适合数值计算。数值算例表明，文中提出的应变能密度函数的形式较之前人提出的形式具有更广的适应性。
The influence of incompressibility on the stressstrain law of hyperelastic materials is investigated. The constraint condition for the strain energy density function of incompressible hyperelasticity is proposed. After comparing various FEM for stress analysis of incompressible hyperelasticity, a new form of strain energy density function satisfying the constraint condition is proposed by introduction of the rigirous hydrostatic pressure into the energy function, which is not sensitive to volume change and is more suitable for numerical caculation for the mixedinterpolation FEM. Numerical examples show the effectiveness of the proposed method.
出处
《西南交通大学学报》
EI
CSCD
北大核心
1998年第1期41-45,共5页
Journal of Southwest Jiaotong University
关键词
材料
超弹性材料
橡胶
应力分析
有限元
materials
superplastic materials
rubber
stress analysis
