The objective of the work presented in this paper is to generate a thermodynamically consistent coupled thermoelastic-plastic damage model of solid media at a macroscopic level. The model is based on the thermodynamics of irreversible processes and the assumption that damage within a continuum can be represented as a damage tensor ωij , . This allows for definition of two scalars that are ω = ωkk / 3 (the volume damage) ,  and α = (a norm of the damage tensor deviator ωij′ = ωij − ωδij . The parameter ω describes the accumulation of micro-pore type damage (which may disappear under compression) and the parameter α describes the shear related damage. The parameter ω may be considered as a volume content of micropores in the material. In the damage-free material we have ω = α = 0; if damage is accumulated, ω and α increase in such a manner that they remain less than one. The prediction of void growth is based on work by Tuler-Butcher . This damage evolution is then coupled to a rate and temperature dependent deviatoric plasticity model. The criterion for failure is the entropy criterion based on a critical value of a specific dissipation function . Performance of the model is illustrated by few numerical examples.
- International Petroleum Technology Institute
Prediction of Ductile Failure in Metal Structures Based on Thermodynamics of Irreversible Process
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Lukyanov, AA. "Prediction of Ductile Failure in Metal Structures Based on Thermodynamics of Irreversible Process." Proceedings of the 2004 International Pipeline Conference. 2004 International Pipeline Conference, Volumes 1, 2, and 3. Calgary, Alberta, Canada. October 4–8, 2004. pp. 2761-2769. ASME. https://doi.org/10.1115/IPC2004-0694
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