LEADER 04306nam 22007095 450 001 9910257389103321 005 20200705230346.0 010 $a3-540-44643-5 024 7 $a10.1007/b99799 035 $a(CKB)1000000000231519 035 $a(SSID)ssj0000324912 035 $a(PQKBManifestationID)11251517 035 $a(PQKBTitleCode)TC0000324912 035 $a(PQKBWorkID)10321913 035 $a(PQKB)10434790 035 $a(DE-He213)978-3-540-44643-9 035 $a(PPN)155177818 035 $a(EXLCZ)991000000000231519 100 $a20121227d2004 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aModels and Analysis of Quasistatic Contact$b[electronic resource] $eVariational Methods /$fby Meir Shillor, Mircea Sofonea, Józef Joachim Telega 205 $a1st ed. 2004. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004. 215 $a1 online resource (XI, 263 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v655 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-22915-9 327 $aModelling: Evolution Equations, Contact and Friction -- Additional Effects Involved in Contact -- Thermodynamic Derivation -- A Detailed Representative Problem -- Models and Their Variational Analysis: Mathematical Preliminaries -- Elastic Contact -- Viscoelastic Contact -- Viscoplastic Contact -- Slip or Temperature Dependent Frictional Contact -- Contact with Wear or Adhesion -- Contact with Damage -- Miscellaneous Problems and Conclusions: Dynamic, One-Dimensional and Miscellaneous Problems -- Conclusions, Remarks and Future Directions -- References -- Index. 330 $aThe mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v655 606 $aPhysics 606 $aMathematical physics 606 $aMechanics 606 $aEngineering 606 $aMechanics, Applied 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aEngineering, general$3https://scigraph.springernature.com/ontologies/product-market-codes/T00004 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aMechanics. 615 0$aEngineering. 615 0$aMechanics, Applied. 615 14$aMathematical Methods in Physics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aClassical Mechanics. 615 24$aEngineering, general. 615 24$aSolid Mechanics. 676 $a620.1/05 700 $aShillor$b Meir$4aut$4http://id.loc.gov/vocabulary/relators/aut$0496561 702 $aSofonea$b Mircea$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTelega$b Józef Joachim$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910257389103321 996 $aModels and Analysis of Quasistatic Contact$92500008 997 $aUNINA