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- W1566156926 abstract "The system of equations, which we study, consists of linear partial differential equations and of nonlinear ordinary differential equations for internal variables. The existence theory for such systems was studied first by the french mathematicians G. Duvaut and J.L. Lions [1]. Next we can find in the literature a work of C. Johnson [2] on a quasi-static problem for a special model. Then in the nineties we can find more works in the domain.This work consists of two parts. In the first part we will classify constitutive equations and therefore we define constitutive equations of monotone type. Moreover by transformation of internal variables we will enlarge the class of constitutive equations, for which we can prove a. global in time existence theorem for large initial data. But there exist models, which are not of monotone type and which we can not transform to monotone type. Therefore we must study such models with other methods. This is the second part, of the work. We write about the energy method for the model of Bodner-Partom." @default.
- W1566156926 created "2016-06-24" @default.
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- W1566156926 date "2016-10-28" @default.
- W1566156926 modified "2023-10-18" @default.
- W1566156926 title "Existence theory for the equations of inelastic material behavior of metals - Transformation of interior variables and energy estimates" @default.
- W1566156926 doi "https://doi.org/10.14708/ma.v25i39.1844" @default.
- W1566156926 hasPublicationYear "2016" @default.
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