This chapter is devoted to an approaches to the problems in which we deal with the evolution of a system in time. We consider three types of evolution. The first one concerns the dynamics of the mechanical systems, i.e., wave propagation or vibrations. The second type of evolution problems are the diffusion type problems, e.g., heat conduction, diffusion of a substance through an another one (water through the soil, etc.). The third type is the static problem, but, in fact, we must investigate the dependence of the internal state on a varying external loads. An example of such a problem is the quasi-static plastic flow without viscosity (deformation of a perfectly plastic body).
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(2007). Nonstationary Problems and Thermodynamics. In: Variational and Quasi-Variational Inequalities in Mechanics. Solid Mechanics and Its Applications, vol 147. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6377-0_6
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DOI: https://doi.org/10.1007/978-1-4020-6377-0_6
Publisher Name: Springer, Dordrecht
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