Rate-independent systems : theory and application /
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| Author / Creator: | Mielke, Alexander, 1958- author. |
|---|---|
| Imprint: | New York : Springer, [2015] ©2015 |
| Description: | 1 online resource (xxii, 660 pages) : illustrations. |
| Language: | English |
| Series: | Applied mathematical sciences ; v. 193 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 193. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11096597 |
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| 100 | 1 | |a Mielke, Alexander, |d 1958- |e author. |0 http://id.loc.gov/authorities/names/n91092687 |1 http://viaf.org/viaf/41908869 | |
| 245 | 1 | 0 | |a Rate-independent systems : |b theory and application / |c Alexander Mielke, Tomáš Roubíček. |
| 264 | 1 | |a New York : |b Springer, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xxii, 660 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Applied mathematical sciences ; |v v. 193 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. This book presents the mathematical framework for a rigorous mathematical treatment of rate-independent 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 well-written book useful. | ||
| 505 | 0 | |a 1. A general view on rate-independent systems.- 2. Energetic rate-independent systems.- 3. Rate-independent systems in Banach spaces.- 4. Applications in continuum mechanics and physics of solids -- 5. Beyond rate independence.- Appendices.- References -- Index . | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 0 | |a Banach spaces. |0 http://id.loc.gov/authorities/subjects/sh85011441 | |
| 650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 7 | |a Banach spaces. |2 fast |0 (OCoLC)fst00826389 | |
| 650 | 7 | |a Differential equations. |2 fast |0 (OCoLC)fst00893446 | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Roubiček, Tomáš, |d 1956- |e author. |0 http://id.loc.gov/authorities/names/n96066869 |1 http://viaf.org/viaf/115712221 | |
| 776 | 0 | 8 | |i Print version: |t Rate-Independent Systems |x 0066-5452 |z 9781493927050 |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) ; |v v. 193. | |
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