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001440671 001__ 1440671
001440671 003__ OCoLC
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001440671 019__ $$a1287767941
001440671 020__ $$a9783030805340$$q(electronic bk.)
001440671 020__ $$a3030805344$$q(electronic bk.)
001440671 020__ $$z9783030805333$$q(print)
001440671 0247_ $$a10.1007/978-3-030-80534-0$$2doi
001440671 035__ $$aSP(OCoLC)1281681251
001440671 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dDCT$$dOCLCF$$dOCLCO$$dOCLCQ$$dOCLCO$$dSFB$$dUKAHL$$dOCLCQ
001440671 049__ $$aISEA
001440671 050_4 $$aQC311
001440671 08204 $$a536/.7$$223
001440671 1001_ $$aAmendola, Giovambattista,$$eauthor.
001440671 24510 $$aThermodynamics of materials with memory :$$btheory and applications /$$cGiovambattista Amendola, Mauro Fabrizio, John Murrough Golden.
001440671 250__ $$aSecond edition.
001440671 264_1 $$aCham, Switzerland :$$bSpringer,$$c2021.
001440671 300__ $$a1 online resource (xxi, 755 pages) :$$billustrations
001440671 336__ $$atext$$btxt$$2rdacontent
001440671 337__ $$acomputer$$bc$$2rdamedia
001440671 338__ $$aonline resource$$bcr$$2rdacarrier
001440671 347__ $$atext file
001440671 347__ $$bPDF
001440671 504__ $$aIncludes bibliographical references and index.
001440671 5050_ $$aPart I: Continuum Mechanics and Classical Materials -- Introduction to Continuum Mechanics -- Materials with Constitutive Equations That Are Local in Time -- Part II: Continuum Thermodynamics and Constitutive Equations of Mechanics and Electromagnetism -- Principles of Thermodynamics -- Free Energies and the Dissipation Principle -- Thermodynamics of Materials with Memory -- Thermoelectromagnetism of Continuous Media -- Part III: Free Energies for Materials with Linear Memory -- A Linear Memory Model -- Viscoelastic Solids and Fluids -- Heat Conductors -- Free Energies on Special Classes of Material -- The Minimum Free Energy -- Representation of the Minimum Free Energy in the Time Domain -- Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors -- The Minimum Free Energy for a Continuous-Spectrum Material -- The Minimum Free Energy for a Finite-Memory Material -- Free Energies for the Case of Isolated Singularites -- Constructing Free Energies for Materials with Memory -- Minimal States and Periodic Histories -- Second Order Approximation for Heat Conduction: Dissipation Principle and Free Energies -- Free Energies for Nonlinear Materials with Memory -- Free Energies for Nonlocal Materials -- The Minimum and Related Free Energies for Dielectric Materials -- Fractional Derivative Models of Materials with Memory -- Part IV: The Dynamical Equations for Materials with Memory -- Existence and Uniqueness -- Controllability of Thermoelastic Systems with Memory -- The Saint-Venant Problem for Viscoelastic Materials -- Exponential Decay -- Semigroup Theory for Abstract Equations with Memory -- Identification Problems for Integrodifferential Equations -- Dynamics of Viscoelastic Fluids -- Conventions and Some Properties of Vector Spaces -- Some Properties of Function on the Complex Plane -- Fourier Transformations.
001440671 506__ $$aAccess limited to authorized users.
001440671 520__ $$aThis monograph deals with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations that describe their evolution in time under varying loads. A work in four parts, the first is an introduction to continuum mechanics, including classical fluid mechanics, linear and non-linear elasticity. The second part considers continuum thermodynamics and its use to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In the third part, free energies for materials with linear memory constitutive relations are discussed. The concept of a minimal state is introduced. Explicit formulae are presented for the minimum and related free energies. The final part deals with existence, uniqueness, and stability results for the integrodifferential equations describing the dynamical evolution of viscoelastic materials, including a new approach based on minimal states rather than histories. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems. The second edition includes a new chapter on thermoelectromagnetism as well as recent findings on minimal states and free energies. It considers the case of minimum free energies for non-simple materials and dielectrics, together with an introduction to fractional derivative models.
001440671 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 1, 2021).
001440671 650_0 $$aThermodynamics$$xMathematical models.
001440671 650_0 $$aSmart materials$$xMathematical models.
001440671 650_0 $$aContinuum mechanics.
001440671 650_6 $$aThermodynamique$$xModèles mathématiques.
001440671 650_6 $$aMatériaux intelligents$$xModèles mathématiques.
001440671 650_6 $$aMécanique des milieux continus.
001440671 655_7 $$aLlibres electrònics.$$2thub
001440671 655_0 $$aElectronic books.
001440671 7001_ $$aFabrizio, Mauro,$$d1940-$$eauthor.
001440671 7001_ $$aGolden, J. M.$$q(John M.),$$d1945-$$eauthor.
001440671 77608 $$iPrint version: $$z9783030805333
001440671 77608 $$iPrint version: $$z9783030805357
001440671 77608 $$iPrint version: $$z9783030805364
001440671 852__ $$bebk
001440671 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80534-0$$zOnline Access$$91397441.1
001440671 909CO $$ooai:library.usi.edu:1440671$$pGLOBAL_SET
001440671 980__ $$aBIB
001440671 980__ $$aEBOOK
001440671 982__ $$aEbook
001440671 983__ $$aOnline
001440671 994__ $$a92$$bISE