CRM: Centro De Giorgi
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Rate-Independence, Homogenization and Multiscaling

seminar: Rate-independent processes in solids and their thermodynamics

speaker: Tomáš Roubíček (Mathematical Inst., Charles University & Inst.Inf.Th.Autom., Academy of Sciences of the Czech Republic)

abstract: So-called generalized standard solids (of Halphen-Nguen type) involving also activated typically rate-independent processes such as plasticity, damage, or phase transformations, will be described as a system of an equilibrium equation and variational inequality for internal parametr variable. Various definitions of weakenergetic solutions will be examined, especially from the viewpoint of ability to combine rate-independent processes and other rate-dependent phenomena, as viscosity or inertia. If those rate-dependent phenomena are suppressed, then the system becomes fully rate-independent and then the concept of the energetic solution fully applies. In general case, compromisses are needed in definitions, in data qualification, and in results, too. Eventually, thermodynamically consistent coupling with temperature and (inevitably rate-dependent) heat transfer will be scrutinized, too.


timetable:
Sat 17 Nov, 11:05 - 11:50, Sala Conferenze Centro De Giorgi
documents:

roubicek.pdf



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