04306nam 22007095 450 991025738910332120200705230346.03-540-44643-510.1007/b99799(CKB)1000000000231519(SSID)ssj0000324912(PQKBManifestationID)11251517(PQKBTitleCode)TC0000324912(PQKBWorkID)10321913(PQKB)10434790(DE-He213)978-3-540-44643-9(PPN)155177818(EXLCZ)99100000000023151920121227d2004 u| 0engurnn|008mamaatxtccrModels and Analysis of Quasistatic Contact[electronic resource] Variational Methods /by Meir Shillor, Mircea Sofonea, Józef Joachim Telega1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XI, 263 p.) Lecture Notes in Physics,0075-8450 ;655Bibliographic Level Mode of Issuance: Monograph3-540-22915-9 Modelling: 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.The 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.Lecture Notes in Physics,0075-8450 ;655PhysicsMathematical physicsMechanicsEngineeringMechanics, AppliedMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Engineering, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/T00004Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Physics.Mathematical physics.Mechanics.Engineering.Mechanics, Applied.Mathematical Methods in Physics.Theoretical, Mathematical and Computational Physics.Classical Mechanics.Engineering, general.Solid Mechanics.620.1/05Shillor Meirauthttp://id.loc.gov/vocabulary/relators/aut496561Sofonea Mirceaauthttp://id.loc.gov/vocabulary/relators/autTelega Józef Joachimauthttp://id.loc.gov/vocabulary/relators/autBOOK9910257389103321Models and Analysis of Quasistatic Contact2500008UNINA