01143nam0-22003971i-450-99000105853040332120060622105020.0000105853FED01000105853(Aleph)000105853FED0100010585320001205d1968----km-y0itay50------baengUSDifferential geometry and topologyJacob T. Schwartznotes by Adil Naoum and Joseph RoitbergNew YorkGordon and Breach1968ix, 170 p.ill.24 cmNotes on mathematics and its applicationsGeometria algebricaTopologiaTopologia algebricaSistemi dinamiciFrattali matematici516.7Schwartz,Jacob Theodore678Naoum,AdilRoitberg,JosephITUNINARICAUNIMARCBK99000105853040332111-071F7083FI126-G-511830MA1FI1MA1Differential geometry and topology340374UNINA04038nam 22006615 450 991030025750332120200701163637.01-4939-2706-X10.1007/978-1-4939-2706-7(CKB)3710000000493530(EBL)4067988(SSID)ssj0001585491(PQKBManifestationID)16264039(PQKBTitleCode)TC0001585491(PQKBWorkID)14864261(PQKB)11598044(DE-He213)978-1-4939-2706-7(MiAaPQ)EBC4067988(PPN)190532149(EXLCZ)99371000000049353020151021d2015 u| 0engur|n|---|||||txtccrRate-Independent Systems Theory and Application /by Alexander Mielke, Tomáš Roubíček1st ed. 2015.New York, NY :Springer New York :Imprint: Springer,2015.1 online resource (677 p.)Applied Mathematical Sciences,0066-5452 ;655Description based upon print version of record.1-4939-2705-1 Includes bibliographical references and index.1. 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 .This 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.Applied Mathematical Sciences,0066-5452 ;655Differential equations, PartialPhysicsMechanicsMechanics, AppliedPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Differential equations, Partial.Physics.Mechanics.Mechanics, Applied.Partial Differential Equations.Mathematical Methods in Physics.Solid Mechanics.510Mielke Alexanderauthttp://id.loc.gov/vocabulary/relators/aut315674Roubíček Tomášauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300257503321Rate-Independent Systems2536512UNINA