LEADER 01711nam a2200373 i 4500 001 991001080149707536 005 20020507182909.0 008 940226s1986 us ||| | eng 020 $a0821860097 035 $ab10798122-39ule_inst 035 $aLE01306720$9ExL 040 $aDip.to Matematica$beng 084 $aAMS 17-06 084 $aAMS 17-XX 084 $aAMS 22-06 084 $aQA252.3.S45 111 2 $aConference on Lie algebras and related topics <1984 ; Ontario>$0535917 245 10$aLie algebras and related topics :$bproceedings of a summer seminar held at the University of Windsor June 26-July 6, 1984 /$ceds. D. J. Britten, F. W. Lemire, R. V. Moody 260 $aProvidence, R. I. :$bpublished by the American Mathematical Society for the Canadian Mathematical Society,$cc1986 300 $avii, 382 p. :$bill. ;$c24 cm. 490 0 $aConference proceedings [Canadian Mathematical Society] ;$v5 500 $a"1984 Conference on Lie Algebras and Related Topics held at the University of Windsor ... sponsored by the Natural Sciences and Engineering Research Council of Canada and the University of Windsor": T. p. verso. 500 $aConference/Meeting Windsor, Ontario 1984. 500 $aIncludes bibliographies 650 0$aLie algebras$xCongresses 700 1 $aBritten, D. J. 700 1 $aLemire, F. W. 700 1 $aMoody, R. V. 907 $a.b10798122$b23-02-17$c28-06-02 912 $a991001080149707536 945 $aLE013 17-XX BRI11 (1986)$g1$i2013000101194$lle013$o-$pE0.00$q-$rl$s- $t0$u1$v0$w1$x0$y.i10901796$z28-06-02 996 $aLie algebras and related topics$9921678 997 $aUNISALENTO 998 $ale013$b01-01-94$cm$da $e-$feng$gus $h0$i1 LEADER 04775nam 22005295 450 001 9910682550303321 005 20240313140924.0 010 $a3-031-20814-5 024 7 $a10.1007/978-3-031-20814-0 035 $a(CKB)5580000000525115 035 $a(DE-He213)978-3-031-20814-0 035 $a(EXLCZ)995580000000525115 100 $a20230319d2023 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modelling of Continuum Physics$b[electronic resource] /$fby Angelo Morro, Claudio Giorgi 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (XIX, 1009 p. 48 illus., 1 illus. in color.) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 311 $a3-031-20813-7 327 $aPart I: Basic Principles and Balance Equations -- Kinematics -- Balance Equations -- Part II: Constitutive Models of Simple Materials -- Generalities on Constitutive Methods -- Solids -- Fluids -- Part III: Non-Simple Materials -- Rate-Type Models -- Materials with Memory -- Aging and Higher-Order Grade Materials -- Mixtures -- Micropolar Media -- Porous Materials -- Electromagnetism of Continuous Media -- Hysteresis and Phase Transitions -- Plasticity -- Superconductivity and Superfluidity -- Ferroics -- Phase Transitions -- Appendix: Notes on Vectors and Tensors. 330 $aThis monograph provides a comprehensive and self-contained treatment of continuum physics, illustrating a systematic approach to the constitutive equations for wide-ranging classes of materials. Derivations of results are detailed through careful proofs, and the contents have been developed to ensure a self-contained and consistent presentation. Part I reviews the kinematics of continuous bodies and illustrates the general setting of balance laws. Essential preliminaries to continuum physics ? such as reference and current configurations, transport relations, singular surfaces, objectivity, and objective time derivatives ? are covered in detail. A chapter on balance equations then develops the balance laws of mass, linear momentum, angular momentum, energy, and entropy, as well as the balance laws in electromagnetism. Part II is devoted to the general requirements on constitutive models, emphasizing the application of objectivity and consistency with the second law of thermodynamics. Common models of simple materials are then reviewed, and in this framework, detailed descriptions are given of solids (thermoelastic, elastic, and dissipative) and fluids (elastic, thermoelastic, viscous, and Newtonian). A wide of variety of constitutive models are investigated in Part III, which consists of separate chapters focused on several types of non-simple materials: materials with memory, aging and higher-order grade materials, mixtures, micropolar media, and porous materials. The interaction of the electromagnetic field with deformation is also examined within electroelasticity, magnetoelasticity, and plasma theory. Hysteretic effects and phase transitions are considered in Part IV. A new approach is established by treating entropy production as a constitutive function in itself, as is the case for entropy and entropy flux. This proves to be conceptually and practically advantageous in the modelling of nonlinear phenomena, such as those occurring in hysteretic continua (e.g., plasticity, electromagnetism, and the physics of shape memory alloys). Mathematical Modelling of Continuum Physics will be an important reference for mathematicians, engineers, physicists, and other scientists interested in research or applications of continuum mechanics. . 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 606 $aMathematical models 606 $aPhysics 606 $aMathematical Modeling and Industrial Mathematics 606 $aClassical and Continuum Physics 606 $aTeoria de camps (Física)$2thub 606 $aModels matemàtics$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical models. 615 0$aPhysics. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aClassical and Continuum Physics. 615 7$aTeoria de camps (Física) 615 7$aModels matemàtics 676 $a003.3 700 $aMorro$b Angelo$4aut$4http://id.loc.gov/vocabulary/relators/aut$040536 702 $aGiorgi$b Claudio$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910682550303321 996 $aMathematical Modelling of Continuum Physics$93316478 997 $aUNINA