RateIndependent Systems : Theory and Application
Resource Information
The work RateIndependent Systems : Theory and Application represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
RateIndependent Systems : Theory and Application
Resource Information
The work RateIndependent Systems : Theory and Application represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 RateIndependent Systems : Theory and Application
 Title remainder
 Theory and Application
 Statement of responsibility
 by Alexander Mielke, Tomáš Roubíček
 Subject

 Partial Differential Equations
 Continuum mechanics
 Partial differential equations
 Continuum Mechanics and Mechanics of Materials
 Mathematics
 Partial Differential Equations
 Mathematics
 Continuum mechanics
 Continuum mechanics
 Electronic resources
 Partial differential equations
 Mathematics
 Partial differential equations
 Physics
 Physics
 Mathematical Methods in Physics
 Partial Differential Equations
 Physics
 Language
 eng
 Summary
 This monograph provides both an introduction to and a thorough exposition of the theory of rateindependent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rateindependent 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 adhesivetype contacts both at small strains and at finite strains. Other physical systems such as magnetic or ferroelectric materials, and couplings to ratedependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. This book presents the mathematical framework for a rigorous mathematical treatment of rateindependent systems in a comprehensive form for the first time. Researchers and graduate students in applied mathematics, engineering, and computational physics will find this timely and wellwritten book useful
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 Series statement
 Applied Mathematical Sciences,
 Series volume
 193
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