On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body Academic Article uri icon

abstract

  • The viscoelastic Kelvin-Voigt model is considered within the context of quasi-static deformations and generalized with respect to a nonlinear constitutive response within the framework of limiting small strain. We consider a solid possessing a crack subject to stress-free faces. The corresponding class of problems for strain-limiting nonlinear viscoelastic bodies with cracks is considered within a generalized formulation stated as variational equations and inequalities. Its generalized solution, relying on the space of bounded measures, is proved rigorously with the help of an elliptic regularization and a fixed-point argument.

author list (cited authors)

  • Itou, H., Kovtunenko, V. A., & Rajagopal, K. R.

citation count

  • 11

publication date

  • March 2018