Rate-Independent Systems: Theory and Application (Applied by Alexander Mielke,Tomáš Roubíček PDF

This monograph offers either an creation to and a radical exposition of the idea of rate-independent platforms, which the authors were engaged on with loads of collaborators over 15 years. the point of interest is usually on absolutely rate-independent structures, first on an summary point both with or perhaps and not using a linear constitution, discussing a variety of recommendations of recommendations with complete mathematical rigor. Then, usefulness of the summary recommendations is validated at the point of varied purposes basically in continuum mechanics of solids, together with compatible approximation thoughts with assured numerical balance and convergence. specific functions drawback inelastic techniques reminiscent of plasticity, harm, part differences, or adhesive-type contacts either at small lines and at finite lines. a number of different actual structures, e.g. magnetic or ferroelectric fabrics, and couplings to rate-dependent thermodynamic types are regarded as good. chosen purposes are followed by means of numerical simulations illustrating either the types and the potency of computational algorithms.

 In this e-book, the mathematical framework for a rigorous mathematical therapy of "rate-independent platforms" is gifted in a entire shape for the 1st time. Researchers and graduate scholars in utilized arithmetic, engineering, and computational physics will locate this well timed and good written e-book useful.