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An Irreversible Thermodynamics Theory for Damage Mechanics of Solids

Electronic Packaging Laboratory Department of Civil, Structural and Environmental Engineering State University of New York, University at Buffalo, Buffalo, NY 14260, USA, cjb{at}eng.buffalo.edu

Shihua Nie

Electronic Packaging Laboratory Department of Civil, Structural and Environmental Engineering State University of New York, University at Buffalo, Buffalo, NY 14260, USA

The entropy production is a non-negative quantity based on irreversible thermodynamics and thus serves as a basis for the systematic description of the irreversible processes occurring in a solid. In this paper, a thermodynamic framework has been presented for damage mechanics of solid materials, where entropy production is used as the sole measure of damage evolution in the system. As a result, there is no need for physically meaningless empirical parameters to define a phenomenological damage potential surface or a Weibull function to trace damage evolution in solid continuum. In order to validate the model, predictions are compared with experimental results, which indicates that entropy production can be used as a damage evolution metric. The theory is founded on the basic premise that a solid continuum obeys the first and the second laws of thermodynamics.

Key Words: conservation laws • irreversible thermodynamics • damage mechanics • entropy production • thermo-mechanical coupling

International Journal of Damage Mechanics, Vol. 13, No. 3, 205-223 (2004)
DOI: 10.1177/1056789504041058


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