By Alexander Mielke,Tomáš Roubíček
This monograph offers either an creation to and an intensive 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 generally on totally rate-independent structures, first on an summary point both with or maybe and not using a linear constitution, discussing numerous innovations of ideas with complete mathematical rigor. Then, usefulness of the summary techniques is proven at the point of assorted purposes basically in continuum mechanics of solids, together with compatible approximation techniques with assured numerical balance and convergence. specific purposes hindrance inelastic strategies reminiscent of plasticity, harm, part modifications, or adhesive-type contacts either at small lines and at finite traces. a couple 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 publication, the mathematical framework for a rigorous mathematical therapy of "rate-independent structures" is gifted in a complete shape for the 1st time. Researchers and graduate scholars in utilized arithmetic, engineering, and computational physics will locate this well timed and good written publication useful.