| 书目名称 | Rate-Independent Systems | | 副标题 | Theory and Applicati | | 编辑 | Alexander Mielke,Tomáš Roubíček | | 视频video | | | 概述 | The mathematical framework for a rigorous mathematical treatment of rate-independent systems, together with various applications, is presented in a comprehensive form for the first time..Provides exis | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .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 accompaniedby 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 | | 出版日期 | Book 2015 | | 关键词 | computational mechanics; contact mechanics; continuum mechanics of solids; damage; dissipation potential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-2706-7 | | isbn_softcover | 978-1-4939-4783-6 | | isbn_ebook | 978-1-4939-2706-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 2015 |
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发表于 2025-3-21 17:17:48
