02691nam 2200493 450 991048467740332120210227102139.03-030-57776-710.1007/978-3-030-57776-6(CKB)4100000011508754(DE-He213)978-3-030-57776-6(MiAaPQ)EBC6371565(PPN)258303670(EXLCZ)99410000001150875420210227d2021 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierContinuum mechanics with Eulerian formulations of constitutive equations /M.B. Rubin1st ed. 2021.Cham, Switzerland :Springer,[2021]©20211 online resource (XIII, 277 p. 25 illus.) Solid Mechanics and Its Applications ;Volume 265Includes index.3-030-57775-9 Introduction -- 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.This 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.Solid mechanics and its applications ;Volume 265.Continuum mechanicsEulerian graph theoryContinuum mechanics.Eulerian graph theory.531.0151Rubin M. B.531793MiAaPQMiAaPQMiAaPQBOOK9910484677403321Continuum mechanics with Eulerian formulations of constitutive equations2849108UNINA