LARGE ELASTIC DEFORMATIONS OF THIN RUBBER MEMBRANES
LARGE ELASTIC DEFORMATIONS OF THIN RUBBER MEMBRANES
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DOI：
10.1016/0020-7225(67)90051-1
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发表时间：
1967-01-01
影响因子：
6.6
通讯作者：
CRISP, JDC
中科院分区：
文献类型：
--
作者：
HARTSMIT.LJ;CRISP, JDC
给出了固定在圆周上的等厚度圆膜膨胀问题的数值解。假设膜由不可压缩的高弹性材料组成，其弹性力学性质可用Hart-Smith引入的指数-双曲弹性参数来表示。这些参数适用于橡胶和长链聚合物材料。结果表明，该实验非常适合于测定两个弹性参数中出现的三个有限弹性常数。在这一过程中，解决了一个相关问题，即确定初始平板膨胀为球面的厚度分布，并给出了这一问题的封闭形式的解析解。
Numerical solutions are given for the problem of the inflation of a circular membrane of uniform thickness clamped around its circumference. The membrane is assumed to be composed of an incompressible highly elastic material whose elasto-mechanical properties can be represented by the exponential-hyperbolic elasticity parameters introduced by Hart-Smith [1]. These parameters apply to rubber and to the long-chain polymer materials. In turn, it is shown how this experiment is eminently suitable for determining the three finite elasticity constants appearing in the two elasticity parameters. It proves useful in the process to solve an associated problem, namely the determination of the thickness distribution of an initially flat sheet inflated to a spherical form; closed form analytical solutions are given for this problem.