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Micromechanical identification of anisotropic damage evolution laws

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Abstract

This paper deals with the establishment of anisotropic conjugate force based damage evolution laws in the framework of Rice's (1971) ‘normality structure’. The damage variable is the second-order crack tensor (Kachanov, 1980), which represents preexisting Griffith microcracks in a solid. The principal results include the deduced damage surfaces, potentials and kinetic equations for the basic internal variables and damage tensor during isothermal processes. The generalized pth order crack tensors and qth order energy release rates are introduced. The deduction in this paper is fully independent of the specific form of the free energy or Gibbs energy functions, so the deduced damage evolution laws have a wide applicable range including plasticity. Using the deviatoric stress as the conjugate force, the two well-established anisotropic yield surfaces, Karafillis and Boyce (1993) and Hill (1950), are recovered from the deduced damage surface.

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Yang, Q., Zhou, W. & Swoboda, G. Micromechanical identification of anisotropic damage evolution laws. International Journal of Fracture 98, 55–76 (1999). https://doi.org/10.1023/A:1018787705489

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  • Anisotropic
  • damage
  • evolution
  • crack tenso.