04664nam 22007815 450 991025431340332120220414225702.03-319-56934-110.1007/978-3-319-56934-5(CKB)3710000001364124(DE-He213)978-3-319-56934-5(MiAaPQ)EBC4855613(PPN)201469480(EXLCZ)99371000000136412420170505d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierInternal variables in thermoelasticity /by Arkadi Berezovski, Peter Ván1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (VIII, 220 p. 37 illus.)Solid Mechanics and Its Applications,0925-0042 ;2433-319-56933-3 Includes bibliographical references at the end of each chapters and index.Part I Internal variables in thermomechanics -- 2 Introduction -- 3 Thermomechanical single internal variable theory -- 4 Dual internal variables -- Part II Dispersive elastic waves in one dimension -- 5 Internal variables and microinertia -- 6 Dispersive elastic waves -- 7 One-dimensional microelasticity -- 8 Influence of nonlinearity -- Part III Thermal effects -- 9 The role of heterogeneity in heat pulse propagation in a solid with inner structure -- 10 Heat conduction in microstructured solids -- 11 One-dimensional thermoelasticity with dual internal variables -- 12 Influence of microstructure on thermoelastic wave propagation -- Part IV Weakly nonlocal thermoelasticity for microstructured solids -- 13 Microdeformation and microtemperature -- Appendix A: Sketch of thermostatics -- Appendix B: Finite-volume numerical algorithm -- Index.This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.Solid Mechanics and Its Applications,0925-0042 ;243MechanicsMechanics, AppliedThermodynamicsHeat engineeringHeat transferMass transferContinuum physicsMathematical physicsMathematical modelsSolid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Engineering Thermodynamics, Heat and Mass Transferhttps://scigraph.springernature.com/ontologies/product-market-codes/T14000Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XMathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Mechanics.Mechanics, Applied.Thermodynamics.Heat engineering.Heat transfer.Mass transfer.Continuum physics.Mathematical physics.Mathematical models.Solid Mechanics.Engineering Thermodynamics, Heat and Mass Transfer.Classical and Continuum Physics.Mathematical Applications in the Physical Sciences.Mathematical Modeling and Industrial Mathematics.531.382Berezovski Arkadiauthttp://id.loc.gov/vocabulary/relators/aut867442Ván Peterauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254313403321Internal Variables in Thermoelasticity1979649UNINA