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010   $a3-030-57776-7
024 7 $a10.1007/978-3-030-57776-6
035   $a(CKB)4100000011508754
035   $a(DE-He213)978-3-030-57776-6
035   $a(MiAaPQ)EBC6371565
035   $a(PPN)258303670
035   $a(EXLCZ)994100000011508754
100   $a20201010d2021      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aContinuum Mechanics with Eulerian Formulations of Constitutive Equations /$fby M.B. Rubin
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (XIII, 277 p. 25 illus.) 
225 1 $aSolid Mechanics and Its Applications,$x2214-7764 ;$v265
300   $aIncludes index.
311 08$a3-030-57775-9 
327   $aIntroduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.
330   $aThis book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic?inelastic materials; thermoelastic?inelastic materials with application to shock waves; thermoelastic?inelastic porous materials; and thermoelastic?inelastic growing biological tissues.
410  0$aSolid Mechanics and Its Applications,$x2214-7764 ;$v265
606   $aMechanics, Applied
606   $aSolids
606   $aMechanics
606   $aBiomechanics
606   $aSolid Mechanics
606   $aClassical Mechanics
606   $aBiomechanics
615  0$aMechanics, Applied.
615  0$aSolids.
615  0$aMechanics.
615  0$aBiomechanics.
615 14$aSolid Mechanics.
615 24$aClassical Mechanics.
615 24$aBiomechanics.
676   $a531.0151
700   $aRubin$b Miles Barton$0531793
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910863154503321
996   $aContinuum mechanics with Eulerian formulations of constitutive equations$92849108
997   $aUNINA