关键词: hyperelasticity, large deformation, fundamental equation, shooting method, tensile instability

Abstract: In this paper, the problem of large axisymmetric deformation of hyperelastic membrane is reformulated on the basis of the general theory of finite elasticity. From the fundamental equations derived here, the tensile instability of toroidal rubberlike membrane with Mooney-Rivlin’s model constitutive relation is solved by using the shooting method. The upper and lower limit loads and the response curve of the displacement to the load are given.

Key words: hyperelasticity, large deformation, fundamental equation, shooting method, tensile instability