LEADER 00854cam0-2200325---450- 001 990005821610403321 005 20120716132632.0 010 $a0-7463-0789-6 035 $a000582161 035 $aFED01000582161 035 $a(Aleph)000582161FED01 035 $a000582161 100 $a19990604d1996----km-y0itay50------ba 101 0 $aeng 102 $aGB 105 $a-f------001yy 200 1 $aTony Harrison$fJoe Kelleher 210 $aPlymouth$cNorthcote House$d1996 215 $aXII, 84 p., 1 tav.$d22 cm 225 1 $aWriters and their work 610 0 $aHarrison Tony 676 $a821.91 700 1$aKelleher,$bJoe$0221339 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990005821610403321 952 $a821.91 HARR/S 1$bDip.f.m.8439$fFLFBC 959 $aFLFBC 996 $aTony Harrison$9567538 997 $aUNINA LEADER 03782nam 22006615 450 001 9910300257503321 005 20251222123428.0 010 $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 $aApplied Mathematical Sciences,$x2196-968X 300 $aDescription based upon print version of record. 311 08$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,$x2196-968X 606 $aDifferential equations 606 $aMathematical physics 606 $aMechanics, Applied 606 $aSolids 606 $aDifferential Equations 606 $aMathematical Methods in Physics 606 $aSolid Mechanics 615 0$aDifferential equations. 615 0$aMathematical physics. 615 0$aMechanics, Applied. 615 0$aSolids. 615 14$aDifferential 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