On the incremental equations in surface elasticity
On the incremental equations in surface elasticity
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DOI：
10.1177/10812865231226183
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发表时间：
2023-08
影响因子：
2.6
通讯作者：
Xiang Yu;Yibin Fu
中科院分区：
文献类型：
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作者：
Xiang Yu;Yibin Fu
通过假设表面能是表面变形梯度的一般函数，我们推导了包含表面张力效应的超弹性固体的增量方程。增量方程采用与纯机械方程相同的简单形式，并且对任何几何形状都有效。特别是，对于各向同性材料，额外表面弹性模量用表面能函数和两个表面主拉伸来表示。通过将所得增量理论应用于研究实心圆柱体中的高原-瑞利和威尔克斯不稳定性，说明了增量理论的有效性。
We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same simple form as their purely mechanical counterparts and are valid for any geometry. In particular, for isotropic materials, the extra surface elastic moduli are expressed in terms of the surface energy function and the two surface principal stretches. The effectiveness of the resulting incremental theory is illustrated by applying it to study the Plateau–Rayleigh and Wilkes instabilities in a solid cylinder.