LEADER 02691nam 2200493 450 001 9910484677403321 005 20210227102139.0 010 $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 $a20210227d2021 uy 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 /$fM.B. Rubin 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (XIII, 277 p. 25 illus.) 225 1 $aSolid Mechanics and Its Applications ;$vVolume 265 300 $aIncludes index. 311 $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 ;$vVolume 265. 606 $aContinuum mechanics 606 $aEulerian graph theory 615 0$aContinuum mechanics. 615 0$aEulerian graph theory. 676 $a531.0151 700 $aRubin$b M. B.$0531793 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484677403321 996 $aContinuum mechanics with Eulerian formulations of constitutive equations$92849108 997 $aUNINA