非线性薄膜的轴对称大变形

Large Axisymmetric Deformations of Nonlinear Membranes

In this paper,the problem of lager axisymmetrie deformations ofnonlinear membranes is reformulated on the basis of the general theory offinite elasticity.The fundamental equations are simplified to a set of threefirst order ordinary differential equations equations with explicit derivatives.Under various boundary conditions they can be solved by using theshooting methods.As a numerical example,tensile instability of sphericalrubberlike membranes with a Mooney-Rivlin's moder stree-strain relationis resolved by using the equations derived in this paper,the results areclose to exact solution in literature[3].