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Complex Damage Variables in Continuum Damage Mechanics

Applied Mechanics and Materials, 2015
The concept of complex damage variables is introduced in this work. These damage variables have both real and imaginary parts. They are introduced not to use them in practical applications but to try to derive a direct relationship between the damage due to cross-sectional area reduction and the damage due to elastic stiffness degradation.
George Z. Voyiadjis, Peter I. Kattan
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Anisotropy in continuum damage mechanics

Scripta Metallurgica et Materialia, 1993
The theory of continuum damage mechanics, first proposed by Kachanov, deals with the effects of damage due to the presence and coalescence of microcracks on the mechanical properties of materials. Different models of continuum damage mechanics have been proposed during the last two decades.
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Decomposition of Damage Tensor in Continuum Damage Mechanics

Journal of Engineering Mechanics, 2001
The principles of continuum damage mechanics are reviewed first for the case of uniaxial tension. The damage variable is then decomposed into two variables called crack damage variables and void damage variables. A consistent mathematical formulation is presented to decompose the damage tensor into two parts: one caused by voids and the other caused by
Peter I. Kattan, George Z. Voyiadjis
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Statistical continuum damage healing mechanics (SCDHM)

International Journal of Damage Mechanics, 2023
Damage healing mechanics has been under tremendous development during the past decade in which many constitutive models for different classes of materials have been proposed in the literature. However, to bridge the gap between the physics of healing and the theoretical framework, the statistical nature of the damage healing mechanics must be ...
Amir Shojaei, George Z Voyiadjis
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Continuum damage mechanics for microcracked composites

Composites Engineering, 1993
Abstract Using a micromechanical model, the general form of the damage tensor is determined for a unifirectional fibre-reinforced composite, in the case of damage due to microcracking parallel to the fibre direction. All components of the damage tensor are evaluated, using a method based on the elastic energy changes.
D. Perreux, C. Oytana
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