In this paper, a displacement equivalence-based damage model for brittle materials is proposed. A new damage deactivation criterion, which depends on both the stress and strain states of the materials, is adopted. Based on the concept of effective stress, the virtual undamaged configuration is introduced, and the assumption of displacement equivalence is proposed to correlate the damaged and the virtual undamaged configurations. Then, an additional crack-opening-induced normal deformation is introduced, and the three-dimensional (3D) effect of these opened cracks is also considered. The evolution rule of damage is deduced using the Onsager relations, which also ensure that the second law of thermodynamics is satisfied.
A Displacement Equivalence-Based Damage Model for Brittle Materials—Part I: Theory
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, December 21, 2000; final revision, December 1, 2002. Associate Editor: J. W. Ju. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Soh, C. K., Liu, Y., Yang, Y., and Dong , Y. (October 10, 2003). "A Displacement Equivalence-Based Damage Model for Brittle Materials—Part I: Theory ." ASME. J. Appl. Mech. September 2003; 70(5): 681–687. https://doi.org/10.1115/1.1599914
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