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Rate-Independent Systems

Theory and Application

Autor: Alexander Mielke, Tomas Roubicek

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag New York Inc.

Dostępność: Dostępna u dostawcy

Wysyłamy za 8-11 dni

474.80 zł

This monograph provides both an introduction to and a thorough exposition of the theory of rate-inde...

Informacje o książce

Autor

Alexander Mielke, Tomas Roubicek

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2016

strony

660

EAN

9781493947836

Enbook ID

18344531

Wydawca

Springer-Verlag New York Inc.

Waga

1385

Wymiary

156 x 236 x 26

Pełny opis

This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have been working on with a lot of collaborators over 15 years. The focus is mostly on fully rate-independent systems, first on an abstract level either with or even without a linear structure, discussing various concepts of solutions with full mathematical rigor. Then, usefulness of the abstract concepts is demonstrated on the level of various applications primarily in continuum mechanics of solids, including suitable approximation strategies with guaranteed numerical stability and convergence. Particular applications concern inelastic processes such as plasticity, damage, phase transformations, or adhesive-type contacts both at small strains and at finite strains. A few other physical systems, e.g. magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are considered as well. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. In this book, the mathematical framework for a rigorous mathematical treatment of "rate-independent systems" is presented in a comprehensive form for the first time. Researchers and graduate students in applied mathematics, engineering, and computational physics will find this timely and well written book useful.