文献类型：期刊文献

英文题名：Size-dependent effective shear modulus in a three-phase sphere model incorporating Steigmann-Ogden surface elasticity

作者：Wang, Xu[1]; Schiavone, Peter[2]

机构：[1] School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China; [2] Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, AB, T6G 1H9, Canada

年份：2023

卷号：100

外文期刊名：European Journal of Mechanics, A/Solids

收录：EI(收录号：20231413854557)

语种：英文

外文关键词：Elastic moduli - Elasticity - Phase interfaces - Shear flow - Shear strain - Spheres - Stresses

摘要：We derive a solution for the size-dependent effective shear modulus of a three-phase sphere model incorporating Steigmann-Ogden surface elasticity under a uniform remote deviatoric load. In the three-phase model, the internal spherical inhomogeneity, the intermediate spherical annulus of the matrix and the surrounding infinite region of equivalent homogeneous material are bonded through an inner spherical interface endowed with Steigmann-Ogden surface elasticity (with vanishing surface tension) and an outer perfect spherical interface. The value of the effective shear modulus is equal to that of the matrix for any volume fraction when the three size-dependent interface parameters satisfy a single condition. Furthermore, the neutrality of the composite sphere to a prescribed uniform deviatoric stress field for any volume fraction is accomplished when the three size-dependent interface parameters satisfy two particular conditions. The neutrality is valid only for a Steigmann-Ogden interface and not for a Gurtin-Murdoch interface. ? 2023 Elsevier Masson SAS