Onset of Cavitation in Compressible, Isotropic, Hyperelastic Solids
Onset of Cavitation in Compressible, Isotropic, Hyperelastic Solids
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DOI：
10.1007/s10659-008-9187-8
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发表时间：
2009-02
影响因子：
2
通讯作者：
O. Lopez-Pamies
中科院分区：
文献类型：
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作者：
O. Lopez-Pamies
在这项工作中，我们推导了不可压缩、各向同性、超弹性固体在非对称加载条件下空化开始的封闭形式的判据。该判据基于一个边值问题的解，其中无限大的超弹性固体含有单一的空泡不均匀，它受到均匀位移边界条件的约束。利用Lopez-Pamies和Ponte Castañeda(J.Mech.太棒了。Solids 54：807-830,2006)，我们近似地解决了这个问题，并对空穴突然开始增长的边界上应用的临界伸展进行了变分估计。通过与文献中关于径向对称空化的精确解以及有限元模拟的比较，对所提出的分析结果的准确性进行了评估。此外，还介绍了各种具有实用和理论意义的材料的应用，包括谐波材料、Blatz-Ko材料和可压缩的Neo-Hookean材料。
In this work, we derive aclosed-formcriterion for the onset of cavitation incompressible, isotropic, hyperelastic solids subjected tonon-symmetricloading conditions. The criterion is based on the solution of a boundary value problem where a hyperelastic solid, which is infinite in extent and contains a single vacuous inhomogeneity, is subjected to uniform displacement boundary conditions. By making use of the “linear-comparison” variational procedure of Lopez-Pamies and Ponte Castañeda (J. Mech. Phys. Solids 54:807–830, 2006), we solve this problem approximately and generatevariational estimatesfor the critical stretches applied on the boundary at which the cavity suddenly starts growing. The accuracy of the proposed analytical result is assessed by comparisons with exact solutions available from the literature for radially symmetric cavitation, as well as with finite element simulations. In addition, applications are presented for a variety of materials of practical and theoretical interest, including the harmonic, Blatz-Ko, and compressible Neo-Hookean materials.