Rate-Independent Systems : Theory and Application

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00509076" target="_blank" >RIV/67985556:_____/15:00509076 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/15:00450201 RIV/00216208:11320/15:10316578

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-1-4939-2706-7" target="_blank" >http://dx.doi.org/10.1007/978-1-4939-2706-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-1-4939-2706-7" target="_blank" >10.1007/978-1-4939-2706-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Rate-Independent Systems : Theory and Application

Popis výsledku v původním jazyce

This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, first on an abstract level with or without a linear structure, discussing various concepts of solutions with full mathematical rigor. The usefulness of the abstract concepts is then 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. Other physical systems such as magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms.

Název v anglickém jazyce

Rate-Independent Systems : Theory and Application

Popis výsledku anglicky

This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, first on an abstract level with or without a linear structure, discussing various concepts of solutions with full mathematical rigor. The usefulness of the abstract concepts is then 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. Other physical systems such as magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms.

Druh

B - Odborná kniha

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

978-1-4939-2705-0

Počet stran knihy

660

Název nakladatele

Springer

Místo vydání

New York

Kód UT WoS knihy

000369636600010