Abstract
The modern continuum thermomechanics framework is settled for finite deformations of materials. Objective stress and strain measures are defined. Elastoviscoplastic constitutive equations are formulated based on the introduction of the free energy and dissipation potentials. Analytical and numerical results for the simple glide of isotropic or single crystalline materials provide a clear assessment of various classes of finite deformation material models. Finally the theory is extended to generalized continua such as the Cosserat medium.
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Besson, J., Cailletaud, G., Chaboche, JL., Forest, S., Blétry, M., Gladwell, G.M.L. (2010). Inelastic constitutive laws at finite deformation. In: Non-Linear Mechanics of Materials. Solid Mechanics and Its Applications, vol 167. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3356-7_6
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DOI: https://doi.org/10.1007/978-90-481-3356-7_6
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3355-0
Online ISBN: 978-90-481-3356-7
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