翻转后的不可压缩neo-Hookean圆柱管的有限变形

研究了由径向横观各向同性不可压缩的neo-Hookean材料组成的圆柱形管在翻转后的有限变形问题。利用材料的不可压缩条件和半逆解法对相应的数学模型进行求解，并根据边界条件得到了翻转后的圆柱形管的内半径以及轴向伸长率应满足的非线性方程组。通过数值算例讨论了材料参数和结构参数对翻转后圆柱形管的内半径以及轴向伸长率变化的影响。结果表明：初始厚度对翻转后圆柱形管的内半径与轴向伸长率没有本质上的影响；而径向各向异性参数却有本质上的影响，特别是在轴向伸长率方面。

FINITE DEFORMATION OF EVERTED CYLINDRICAL SHELLS COMPOSED OF INCOMPRESSIBLE NEO-HOOKEAN MATERIALS

The finite deformation problem is examined for an everted cylindrical shell composed of a class of transversely isotropic incompressible neo-Hookean materials about radial direction. The corresponding mathematical model is solved by using the incompressible condition and the semi- inverse method, moreover, the system of nonlinear equations that the inner radius and the axial stretch rate of the everted cylindrical shell must satisfy is obtained by the boundary conditions. The effects of material and structure parameters on the inner radius and the axial stretch rate of the everted cylindrical shell are discussed by numerical examples. The results show that the effect of initial thickness on the inner radius and the axial stretch rate of the everted cylindrical shell is not essential, but of the radial transversely isotropic parameter, especially on the aspect of axial stretch rate.