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Constitutive Modeling of Dissipative Phenomena in Austenitic Metastable Steels at Cryogenic Temperatures

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Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 57))

Abstract

In the present paper the constitutive model of dissipative material at cryogenic temperature is presented. Three coupled dissipative phenomena: plastic flow, plastic strain induced phase transformation and evolution of damage are considered using a thermodynamically consistent framework. The theory relies on notion of local state, and involves one state potential for the writing of the state laws, and dissipation potential for the description of the irreversible part of the model. The kinetic laws for state variables are derived from the generalized normality rule applied to the plastic potential, while the consistency multiplier is obtained from the consistency condition applied to the yield function. The model is applied for simulation of two distinct dissipative phenomena taking place in FCC metals and alloys at low temperatures: plastic strain induced transformation from the parent austenitic phase to the secondary martensitic phase, and evolution of micro-damage.

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Acknowledgments

This work has been supported by the National Science Centre through the Grant No. 2284/B/T02/2011/40.

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Correspondence to Halina Egner .

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Egner, H., Skoczeń, B., Ryś, M. (2015). Constitutive Modeling of Dissipative Phenomena in Austenitic Metastable Steels at Cryogenic Temperatures. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-14660-7_3

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