Cylindrical compressible liquid inclusion with surface effects
Cylindrical compressible liquid inclusion with surface effects
复制标题
具有表面效应的圆柱形可压缩液体包裹体
DOI：
10.1016/j.jmps.2022.104813
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发表时间：
2022
影响因子：
5.3
通讯作者：
Tian Jian Lu
中科院分区：
文献类型：
--
作者：
Fei Ti;Xin Chen;Moxiao Li;Xuechao Sun;Shaobao Liu;Tian Jian Lu
Liquid-filled microchannels are common in biological tissues, such as blood capillaries and neuronal axons, which may often be regarded as cylindrical compressible liquid inclusions embedded in an infinite elastic matrix. How surface effects influence the elastic field and effective mechanical properties of such liquid inclusions remain elusive, especially when the inclusion size is at micro level wherein surface tension plays a significant role. We present first a theoretical model to analyze the elastic field of a cylindrical compressible liquid inclusion, with surface effects duly accounted for. We then use the solutions of our model, together with the Eshelby approach, to estimate the effective mechanical properties of a composite containing sparsely distributed cylindrical liquid inclusions. Different from previous studies, our model accounts for the nonlinear dependence of the normal vector and curvature of a liquid-solid surface upon surface deformation, achieved by expressing both as first order functions of surface displacement. We then linearize the deformation-induced surface curvature to simplify the problem and get the solution using linearized curvature. Predictions of our model demonstrate that surface effects prevent deformation of the liquid inclusion and increase stress concentration around the inclusion. Further, as the surface energy is increased, the effective Young's modulus of the two-phase composite first increases and then decreases, and the transition point is related to the bulk modulus of liquid; when the surface energy becomes sufficiently large, the effective Poisson ratio becomes negative. These results are useful for understanding and exploring the mechanical behaviors of a wide range of liquid-filled porous biological materials which contain distributed cylindrical pores, e.g., blood vessels, neuronal axons, dentinal tubules and hydrogel pores .
