文献类型：期刊文献

英文题名：Uniform elastic field within a parabolic inhomogeneity obeying Neuber’s nonlinear stress-strain law under generalized plane strain deformations

作者：Wang, Xu[1]; Schiavone, Peter[2]

机构：[1] School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China; [2] Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada

年份：2026

卷号：33

期号：1

外文期刊名：Mechanics of Advanced Materials and Structures

收录：EI(收录号：20250517803149)

语种：英文

外文关键词：Elastic deformation - Matrix algebra - Residual stresses

摘要：We use complex variable methods to derive a closed-form solution to the generalized plane strain problem of an incompressible nonlinear elastic parabolic inhomogeneity obeying Neuber’s special nonlinear stress-strain law embedded in an infinite linear isotropic elastic matrix subjected to uniform remote in-plane and anti-plane stresses. We prove that the internal in-plane and anti-plane stresses and strains within the parabolic inhomogeneity remain uniform. The uniform effective strain within the parabolic inhomogeneity is obtained in closed-form. Consequently, the uniform elastic field within the parabolic inhomogeneity and the non-uniform elastic field in the matrix are completely determined. ? 2025 Taylor & Francis Group, LLC.