Surface Green Function With Surface Stresses and Surface Elasticity Using Stroh’s Formalism
Surface Green Function With Surface Stresses and Surface Elasticity Using Stroh’s Formalism
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DOI：
10.1115/1.2967893
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发表时间：
2008-11
期刊：
影响因子：
--
通讯作者：
H. Koguchi
中科院分区：
文献类型：
--
作者：
H. Koguchi
本文利用考虑表面应力和表面弹性的斯特罗公式，导出了在集中力和线力作用下各向异性弹性半域中的表面绿色函数。基于斯特罗的形式主义的边界条件的制定，并用于推导表面绿色函数。远离表面的位移场仅受表面应力和弹性的轻微影响。然而，应力场在更大程度上受到表面应力和弹性的影响。研究了不同表面弹性模量和表面应力值时，表面力学性质对表面附近位移和应力分布的影响。表面应力和表面弹性分别以不同的方式影响位移和应力。将分子动力学中的位移场与绿色函数中的位移场进行了比较，结果表明两者吻合较好。
In the present paper, surface Green functions in an anisotropic elastic half-domain subjected to a concentrated force and a line force are derived using Stroh’s formalism considering surface stress and surface elasticity. Formulation of the boundary condition based on Stroh’s formalism is presented and is used to derive the surface Green functions. The displacement field far from the surface is affected only slightly by the surface stress and elasticity. However, the stress field is influenced to a somewhat greater degree by the surface stress and elasticity. The influence of the mechanical properties of the surface on the distributions of displacement and stress near the surface is investigated for various values of surface elastic modulus and surface stress. The surface stress and surface elasticity affect the displacements and stresses, respectively, in different manners. Displacement fields in molecular dynamics are compared with those in the Green function, and it is shown that the results are in fair agreement.