LEADER 04038nam  22006615  450 
001 9910300257503321
005 20200701163637.0
010   $a1-4939-2706-X
024 7 $a10.1007/978-1-4939-2706-7
035   $a(CKB)3710000000493530
035   $a(EBL)4067988
035   $a(SSID)ssj0001585491
035   $a(PQKBManifestationID)16264039
035   $a(PQKBTitleCode)TC0001585491
035   $a(PQKBWorkID)14864261
035   $a(PQKB)11598044
035   $a(DE-He213)978-1-4939-2706-7
035   $a(MiAaPQ)EBC4067988
035   $a(PPN)190532149
035   $a(EXLCZ)993710000000493530
100   $a20151021d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aRate-Independent Systems $eTheory and Application /$fby Alexander Mielke, Tomá? Roubí?ek
205   $a1st ed. 2015.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015.
215   $a1 online resource (677 p.)
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v655
300   $aDescription based upon print version of record.
311   $a1-4939-2705-1 
320   $aIncludes bibliographical references and index.
327   $a1. 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 .
330   $aThis monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, first on an abstract level with or without a linear structure, discussing various concepts of solutions with full mathematical rigor. The usefulness of the abstract concepts is then demonstrated on the level of various applications primarily in continuum mechanics of solids, including suitable approximation strategies with guaranteed numerical stability and convergence. Particular applications concern inelastic processes such as plasticity, damage, phase transformations, or adhesive-type contacts both at small strains and at finite strains. Other physical systems such as magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. This book presents the mathematical framework for a rigorous mathematical treatment of rate-independent systems in a comprehensive form for the first time. Researchers and graduate students in applied mathematics, engineering, and computational physics will find this timely and well-written book useful.
410  0$aApplied Mathematical Sciences,$x0066-5452 ;$v655
606   $aDifferential equations, Partial
606   $aPhysics
606   $aMechanics
606   $aMechanics, Applied
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
615  0$aDifferential equations, Partial.
615  0$aPhysics.
615  0$aMechanics.
615  0$aMechanics, Applied.
615 14$aPartial Differential Equations.
615 24$aMathematical Methods in Physics.
615 24$aSolid Mechanics.
676   $a510
700   $aMielke$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut$0315674
702   $aRoubí?ek$b Tomá?$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300257503321
996   $aRate-Independent Systems$92536512
997   $aUNINA