By Alexander Mielke,Tomáš Roubíček
This monograph presents either an creation to and a radical exposition of the speculation of rate-independent platforms, which the authors were engaged on with loads of collaborators over 15 years. the focal point is generally on totally rate-independent platforms, first on an summary point both with or maybe with out a linear constitution, discussing a number of options of ideas with complete mathematical rigor. Then, usefulness of the summary ideas is tested at the point of assorted purposes essentially in continuum mechanics of solids, together with appropriate approximation thoughts with assured numerical balance and convergence. specific purposes situation inelastic strategies corresponding to plasticity, harm, part modifications, or adhesive-type contacts either at small lines and at finite traces. a number of different actual platforms, e.g. magnetic or ferroelectric fabrics, and couplings to rate-dependent thermodynamic types are regarded as good. chosen purposes are observed via numerical simulations illustrating either the types and the potency of computational algorithms.
In this booklet, the mathematical framework for a rigorous mathematical remedy of "rate-independent platforms" 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.
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This monograph offers either an advent to and a radical exposition of the idea of rate-independent structures, which the authors were engaged on with loads of collaborators over 15 years. the point of interest is generally on totally rate-independent platforms, first on an summary point both with or perhaps with no linear constitution, discussing numerous techniques of recommendations with complete mathematical rigor.
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