Abstract
The general way to derive constitutive equations for different phenomena, coupled or not, is briefly described with an emphasis on the choice of state variables and analytical expressions for the state potential and the (pseudo) potential of dissipation by qualitative experiments. Quantitative experiments are used to determine the numerical values of the materials dependent parameters. Applications are given for anisotropic damage coupled to stress-strain behaviour of materials, for aging coupled to plasticity and for magneto-mechanical couplings. A brief «state of the art» on localisation phenomena is given as a conclusion.
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Benallal, A.; Billardon, R.; Geymonat, G.; Bifurcation and localisation in rate-independent materials. Some general considerations, CISM Lecture Notes No 327 on Bifurcation and Stability of Dissipative Systems, pp. 1–44, edited by Nguyen Quoc Son, Springer Verlag.
Buiron, N.; Hirsinger, L.; Billardon, R.; A multiscale model for magneto-elastic couplings, J. Phys. IV France 9, pp. 187–196.
Cordebois, J.P.; Sidoroff, F.; Endommagement anisotrope en élasticité et plasticité, In JMTA Numero special, pp. 45–60.
Germain, P.; Nguyen, Q.S.; Suquet, P.; Continuum Thermodynamics, J. Appl. Mech., 50, pp. 1010–1020.
Lemaitre, J.; Chaboche, J.L.; Mechanics of Solid Materials, Cambridge University Press, Cambridge (UK).
Lemaitre, J.; Desmorat, R.; Sauzay, M.; Anisotropic damage law of evolution, European J. Mech../A Solids (accepted).
Lemaitre, J.; Marquis, D.; Modeling Complex behavior of metals by the «state-kinetic coupling theory», J. Eng. Mat. Tech, 114, pp. 250–254.
Marquis, D.; Costa Mattos, H.; Modeling plasticity and aging as coupled phenomena, Int. J. Plasticity, 7, pp. 865–877.
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© 2000 Kluwer Academic Publishers
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Lemaitre, J., Benallal, A., Billardon, R., Marquis, D. (2000). Thermodynamics and phenomenology. In: Maugin, G.A., Drouot, R., Sidoroff, F. (eds) Continuum Thermomechanics. Solid Mechanics and Its Applications, vol 76. Springer, Dordrecht. https://doi.org/10.1007/0-306-46946-4_16
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DOI: https://doi.org/10.1007/0-306-46946-4_16
Publisher Name: Springer, Dordrecht
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