LEADER 03483nam 22006495 450 001 9910338249903321 005 20211109144017.0 010 $a3-030-05390-3 024 7 $a10.1007/978-3-030-05390-1 035 $a(CKB)4100000008347235 035 $a(DE-He213)978-3-030-05390-1 035 $a(MiAaPQ)EBC5918129 035 $a(PPN)236524593 035 $a(EXLCZ)994100000008347235 100 $a20190531d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPrinciples of Continuum Mechanics $eA Basic Course for Physicists /$fby Zden?k Martinec 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (XIX, 247 p. 19 illus., 1 illus. in color.) 225 1 $aNe?as Center Series,$x2523-3343 311 $a3-030-05389-X 327 $aGeometry of Deformation -- Basic Kinematics -- Measures of Stress -- Fundamental Conservation Principles -- Moving Reference Frames -- Constitutive Equations -- Entropy Principles -- Classical Linear Elasticity -- Infinitesimal Deformation of a Body with a Finite Pre-Stress. 330 $aThis book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them. 410 0$aNe?as Center Series,$x2523-3343 606 $aDifferential equations 606 $aMechanics 606 $aMechanics, Applied 606 $aField theory (Physics) 606 $aDifferential equations, Partial 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aDifferential equations. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aField theory (Physics) 615 0$aDifferential equations, Partial. 615 14$aOrdinary Differential Equations. 615 24$aSolid Mechanics. 615 24$aClassical and Continuum Physics. 615 24$aPartial Differential Equations. 676 $a531 676 $a531 700 $aMartinec$b Zden?k$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781694 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910338249903321 996 $aPrinciples of Continuum Mechanics$91733500 997 $aUNINA