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首页> 外文期刊>International Journal of Solids and Structures >INFLATION OF NONLINEARLY DEFORMED ANNULAR ELASTIC MEMBRANES
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INFLATION OF NONLINEARLY DEFORMED ANNULAR ELASTIC MEMBRANES

机译:非线性变形环形弹性膜的膨胀

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The inflation of an isotropic, nonlinear elastic membrane by means of a volume independent hydrostatic pressure is studied. In particular, we consider annular membranes which, on the inner boundary, have been subjected to an axial twist and a displacement normal to the plane of the membrane, with the outer boundary fixed. A direct two-dimensional approach is adopted and by introducing a relaxed strain-energy function the occurrence of wrinkled solutions is considered. The governing equations are found to reduce to a system of first order differential equations, which are then solved numerically for a Mooney-Rivlin material, over a range of boundary value problems. [References: 13]
机译:研究了与体积无关的静水压力使各向同性的非线性弹性膜膨胀。特别地,我们考虑环形膜,该环形膜在内边界上已经受到轴向扭曲并且垂直于膜的平面发生位移,并且外边界固定。采用直接的二维方法,并通过引入松弛的应变能函数来考虑皱纹溶液的出现。发现控制方程可以简化为一阶微分方程组,然后在一系列边值问题上对Mooney-Rivlin材料进行数值求解。 [参考:13]

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