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Souhayl Sadik

Circumferentially-symmetric finite eigenstrains in incompressible isotropic nonlinear elastic wedges

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  • Ashkan Golgoon, Georgia Institute of Technology
  • ,
  • Souhayl Sadik
  • Arash Yavari, Georgia Institute of Technology

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. Published by Elsevier Ltd.

Original languageEnglish
JournalInternational Journal of Non-Linear Mechanics
Pages (from-to)116-129
Number of pages14
Publication statusPublished - Sept 2016
Externally publishedYes

    Research areas

  • Finite eigenstrains, Residual stresses, Nonlinear elasticity, Elastic wedge, ELLIPTIC INCLUSION, DEFORMATIONS, INHOMOGENEITY, STRESS

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