大葉大學圖書館 |

Rate-independent systems[electronic resource] :theory and application /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.353
書名/作者:	Rate-independent systems : theory and application // by Alexander Mielke, Tomas Roubicek.
作者:	Mielke, Alexander.
其他作者:	Roubicek, Tomas.
出版者:	New York, NY : : Springer New York :, 2015.
面頁冊數:	xxii, 660 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
標題:	Differential equations.
標題:	Banach spaces.
標題:	Mathematics.
標題:	Partial Differential Equations.
標題:	Mathematical Methods in Physics.
標題:	Continuum Mechanics and Mechanics of Materials.
ISBN:	9781493927067
ISBN:	9781493927050
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-2706-7

Rate-independent systems[electronic resource] :theory and application /
Mielke, Alexander.

Rate-independent systemstheory and application /[electronic resource] :by Alexander Mielke, Tomas Roubicek. - New York, NY :Springer New York :2015. - xxii, 660 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.1930066-5452 ;. - Applied mathematical sciences ;v.176..

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.

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.

ISBN: 9781493927067

Standard No.: 10.1007/978-1-4939-2706-7doiSubjects--Topical Terms:

389324
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Rate-independent systems[electronic resource] :theory and application /
LDR:02677nam a2200325 a 4500 001 444215
003 DE-He213
005 20160412102828.0
006 m d
007 cr nn 008maaau
008 160715s2015 nyu s 0 eng d
020 $a 9781493927067 $q (electronic bk.)
020 $a 9781493927050 $q (paper)
024 7 $a 10.1007/978-1-4939-2706-7 $2 doi
035 $a 978-1-4939-2706-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .M631 2015
100 1 $a Mielke, Alexander. $3 635571
245 1 0 $a Rate-independent systems $h [electronic resource] : $b theory and application / $c by Alexander Mielke, Tomas Roubicek.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2015.
300 $a xxii, 660 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v v.193
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.
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.
650 0 $a Differential equations, Partial. $3 389324
650 0 $a Differential equations. $3 189741
650 0 $a Banach spaces. $3 404788
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Partial Differential Equations. $3 464931
650 2 4 $a Mathematical Methods in Physics. $3 464098
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 463797
700 1 $a Roubicek, Tomas. $3 635572
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Applied mathematical sciences ; $v v.176. $3 464128
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-2706-7
950 $a Mathematics and Statistics (Springer-11649)