Rate-Independent Systems

Theory and Application

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Rate-Independent Systems by Alexander Mielke, Tomáš Roubíček, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexander Mielke, Tomáš Roubíček ISBN: 9781493927067
Publisher: Springer New York Publication: October 21, 2015
Imprint: Springer Language: English
Author: Alexander Mielke, Tomáš Roubíček
ISBN: 9781493927067
Publisher: Springer New York
Publication: October 21, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Handbook of Neuroevolution Through Erlang by Alexander Mielke, Tomáš Roubíček
Cover of the book Reproductive Endocrinology and Infertility by Alexander Mielke, Tomáš Roubíček
Cover of the book Dyadic Decision Making by Alexander Mielke, Tomáš Roubíček
Cover of the book Introduction to Nursing Informatics by Alexander Mielke, Tomáš Roubíček
Cover of the book Celiac Disease by Alexander Mielke, Tomáš Roubíček
Cover of the book Handbook of Assessing Variants and Complications in Anxiety Disorders by Alexander Mielke, Tomáš Roubíček
Cover of the book Fundamentals of Traffic Simulation by Alexander Mielke, Tomáš Roubíček
Cover of the book Amaurosis Fugax by Alexander Mielke, Tomáš Roubíček
Cover of the book Pediatric Neuro-Ophthalmology by Alexander Mielke, Tomáš Roubíček
Cover of the book Viruses and Atherosclerosis by Alexander Mielke, Tomáš Roubíček
Cover of the book Nerve and Vascular Injuries in Sports Medicine by Alexander Mielke, Tomáš Roubíček
Cover of the book Fire Hazards of Exterior Wall Assemblies Containing Combustible Components by Alexander Mielke, Tomáš Roubíček
Cover of the book Safeguarding Homeland Security by Alexander Mielke, Tomáš Roubíček
Cover of the book Stem Cell Biology and Regenerative Medicine in Ophthalmology by Alexander Mielke, Tomáš Roubíček
Cover of the book The Gibbons by Alexander Mielke, Tomáš Roubíček
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy