Circumferentially-symmetric finite eigenstrains in incompressible isotropic nonlinear elastic wedges

• We study the residual stress and deformation of a nonlinear wedge with eigenstrains.
• We find exact solutions of the stress field of a neo-Hookean wedge with an inclusion.
• We study the stress field of a neo-Hookean wedge with a Mooney-Rivlin nhomogeneity.

Eigenstrains are created as a result of anelastic effects such as defects, temperature changes, bulk growth, etc., and strongly affect the overall response of solids. In this paper, we study the residual stress and deformation fields of an incompressible, isotropic, infinite wedge due to a circumferentially symmetric distribution of finite eigenstrains. In particular, we establish explicit exact solutions for the residual stresses and deformation of a neo-Hookean wedge containing a symmetric inclusion with finite radial and circumferential eigenstrains. In addition, we numerically solve for the residual stress field of a neo-Hookean wedge induced by a symmetric Mooney–Rivlin inhomogeneity with finite eigenstrains.