Solid-solid phase-transition as a strain transformation.
Carmine Trimarco (1996)
Extracta Mathematicae
Similarity:
Carmine Trimarco (1996)
Extracta Mathematicae
Similarity:
Svendsen, B. (2000)
Rendiconti del Seminario Matematico
Similarity:
Koppová, Jana, Minárová, Mária, Sumec, Jozef
Similarity:
In this paper we deal with the mathematical modelling of rheological models with applications in various engineering disciplines and industry. We study the mechanical response of visco-elasto-plastic materials. We describe the basic rheological elements and focus our attention to the specific model of concrete, for which we derive governing equations and discuss its solution. We provide an application of rheological model involving rigid-plastic element as well - mechanical and mathematical...
Miranville, Alain (2003)
Journal of Applied Mathematics
Similarity:
Fife, Paul C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Satish Karra, Kumbakonam R. Rajagopal (2009)
Applications of Mathematics
Similarity:
Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments. What is usually lost sight of is the fact that infinity of such three dimensional models may be able to explain these experiments that are lower dimensional. Recently, the notion of maximization of the rate of entropy production has been used to obtain constitutive relations based on the choice of the stored...
Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
Similarity:
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical...
Pierluigi Colli (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
In this paper we prove existence, uniqueness, and continuous dependence for a one-dimensional time-dependent problem related to a thermo-mechanical model of structural phase transitions in solids. This model assumes the free energy depending on temperature, macroscopic deformation and also on the proportions of the phases. Here we neglect regularizing terms in the momentum balance equation and in the constitutive laws for the phase proportions.