A major contribution to the study of general anisotropic elasticity was made by Eshelby et al. (1953), who showed that, by making an appropriate linear transformation of the coordinate axes, the governing equations of the plane problem could be reduced to Laplacian form, thus permitting solutions to be written down in terms of analytic functions of the complex variable. This method was elaborat...

Within the framework of hypothesis plane deformation, we consider a piecewise homogeneous isotropic elastic body with interface shear cracks near angular point interface. The exact solution corresponding problem theory elasticity for wedge-shaped is constructed by Wiener–Hopf method. On basis solution, analyze behavior stresses in vicinity point.

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 19 January 2021Accepted: 12 July 2021Published online: October 2021Keywordsnonlinear elasticity, global bifurcation, anti-plane shearAMS Subject Headings35B32, 74B20Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial and Applie...

Mixed nite element methods such as PEERS or the BDMS methods are designed to avoid locking for nearly incompressible materials in plane elasticity. In this paper, we establish a robust adaptive mesh-reening algorithm that is rigorously based on a reliable and eecient a posteriori error estimate. Numerical evidence is provided for the-independence of the constants in the a posteriori error bound...

We develop a residual-based a posteriori error analysis for the augmented mixed methods introduced in [17] and [18] for the problem of linear elasticity in the plane. We prove that the proposed a posteriori error estimators are both reliable and efficient. Numerical experiments confirm these theoretical properties and illustrate the ability of the corresponding adaptive algorithms to localize t...