A systematic theory to describe the anisotropic damage states of materials and a consistent definition of effective stress tensors are developed within the framework of continuum damage mechanics. By introducing a fictitious undamaged configuration, mechanically equivalent to the real damaged configuration, the classical creep damage theory is extended to the general three-dimensional states of material damage; it is shown that the damage state can be described in terms of a symmetric second rank tensor. The physical implications, mathematical restrictions, and the limitations of this damage tensor, as well as the effects of finite deformation on the damage state, are discussed in some detail. The notion of the fictitious undamaged configuration is then applied also to the definition of effective stresses. Finally, the extension of the effective stresses incorporating the effects of crack closure is discussed. The resulting effective stress tensor is employed to analyze the stress-path dependence of the elastic behavior of a cracked elastic-brittle material.
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June 1988
Research Papers
Mechanical Modeling of Material Damage
S. Murakami
S. Murakami
Department of Mechanical Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-01, Japan
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S. Murakami
Department of Mechanical Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-01, Japan
J. Appl. Mech. Jun 1988, 55(2): 280-286 (7 pages)
Published Online: June 1, 1988
Article history
Received:
May 27, 1987
Revised:
October 20, 1987
Online:
July 21, 2009
Citation
Murakami, S. (June 1, 1988). "Mechanical Modeling of Material Damage." ASME. J. Appl. Mech. June 1988; 55(2): 280–286. https://doi.org/10.1115/1.3173673
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