Statistically stored dislocations in rate-independent plasticity.
Bortoloni, L., Cermelli, P. (2000)
Rendiconti del Seminario Matematico
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Bortoloni, L., Cermelli, P. (2000)
Rendiconti del Seminario Matematico
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A. Puškár (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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A. Dlouhý (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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Z. Trojanová, Pavel Lukáč, M. Hamerský (1991)
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Zenon Kosowski (2007)
Applicationes Mathematicae
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We investigate a 1-dimensional simple version of the Fried-Gurtin 3-dimensional model of isothermal phase transitions in solids. The model uses an order parameter to study solid-solid phase transitions. The free energy density has the Landau-Ginzburg form and depends on a strain, an order parameter and its gradient. The problem considered here has the form of a coupled system of one-dimensional elasticity and a relaxation law for a scalar order parameter. Under some physically justified...