02087nam0 2200445 i 450 VAN012506220230630020150.149N978331997184120191030r19972018 |0itac50 baengCH|||| |||||Topics in the Mathematical Modelling of Composite MaterialsAndrej V. Cherkaev, Robert Kohn editorsReprint of the 1997 editionChamBirkhäuser2018xvi, 317 p.ill.24 cm001VAN00810562001 Modern Birkhäuser classics210 Boston [etc.]BirkhäuserVAN0236575Topics in the Mathematical Modelling of Composite Materials156382049-XXCalculus of variations and optimal control; optimization [MSC 2020]VANC019757MF35-XXPartial differential equations [MSC 2020]VANC019763MF01A75Collected or selected works; reprintings or translations of classics [MSC 2020]VANC021493MF74-XXMechanics of deformable solids [MSC 2020]VANC022466MFDifferential equationsKW:KExtremal rigidityKW:KH-ConvergenceKW:KOptimal ControlKW:KOptimizationKW:KPartial differential equationsKW:KCHChamVANL001889CherkaevAndrej V.VANV045914KohnRobertVANV096516Birkhäuser <editore>VANV108193650ITSOL20230707RICAhttp://doi.org/10.1007/978-3-319-97184-1E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN0125062BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 1436 08eMF1436 20191030 Topics in the Mathematical Modelling of Composite Materials1563820UNICAMPANIA03916nam 22007095 450 991025738910332120251113210047.03-540-44643-510.1007/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 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,1616-6361 ;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,1616-6361 ;655Mathematical physicsMechanicsEngineeringMechanics, AppliedSolidsMathematical Methods in PhysicsTheoretical, Mathematical and Computational PhysicsClassical MechanicsTechnology and EngineeringSolid MechanicsMathematical physics.Mechanics.Engineering.Mechanics, Applied.Solids.Mathematical Methods in Physics.Theoretical, Mathematical and Computational Physics.Classical Mechanics.Technology and Engineering.Solid Mechanics.620.1/05Shillor M(Meir),authttp://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