On Isotropic and Anisotropic Damage Variables in Continuum Damage Mechanicsby J. W. Ju, Princeton Univ, Princeton, United States,
Abstract: The present work analyzes the implication and limitation of some 'scalar damage' models. In particular, the elastic-damage thermodynamic potential and the 'effective stress concept' are re-examined. It is demonstrated that 'isotropic damage' does not necessarily imply 'scalar damage' representation in general. The notion of isotropic and anisotropic damage variables in continuum damage mechanics is then discussed. In addition, some results from micromechanical analyses are applied to show the direct relationship between the fourth-order damage tensor and the damage-induced compliance tensor characteristic of microcrack-weakened brittle materials.
Subject Headings: Isotropy | Effective stress | Anisotropy | Micromechanics | Strength of materials | Elastic analysis | Thermodynamics
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