New PDF release: Rate-Independent Systems: Theory and Application (Applied

By Alexander Mielke,Tomáš Roubíček

ISBN-10: 1493927051

ISBN-13: 9781493927050

ISBN-10: 1493947834

ISBN-13: 9781493947836

This monograph offers either an advent to and an intensive 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 usually on absolutely rate-independent platforms, first on an summary point both with or perhaps with no linear constitution, discussing a variety of ideas of strategies with complete mathematical rigor. Then, usefulness of the summary options is proven at the point of assorted purposes essentially in continuum mechanics of solids, together with appropriate approximation innovations with assured numerical balance and convergence. specific purposes difficulty inelastic approaches reminiscent of plasticity, harm, part variations, or adhesive-type contacts either at small traces and at finite traces. a number of different actual platforms, e.g. magnetic or ferroelectric fabrics, and couplings to rate-dependent thermodynamic versions are regarded as good. chosen purposes are observed by way of numerical simulations illustrating either the types and the potency of computational algorithms.

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

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

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