Titlebook: Continuum Mechanics with Eulerian Formulations of Constitutive Equations; M.B. Rubin Book 2021 Springer Nature Switzerland AG 2021 Continu

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Charles Consel,Lucile Dupuy,Hélène Sauzéonlations for specific tensors. It is shown that the local forms of the balance laws can be derived by using invariance under SRBM of the rate of material dissipation and these transformation relations. Also, linearization of the kinematic quantities and balance laws are discussed.

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0925-0042 ok 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

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Lucas Paletta,Martin Pszeida,Mariella Panagl tensor calculus, attention is limited to tensors expressed relative to fixed rectangular Cartesian base vectors. (Some of the content in this chapter has been adapted from Rubin (Cosserat theories: shells, rods and points. Springer Science & Business Media, Berlin, 2000) with permission.)

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Jay Kalra,Nancy J. Lightner,Redha Taiarstructural vectors .. The influence of kinematic constraints on constitutive equations is discussed and specific nonlinear constitutive equations are presented for a number of materials including: elastic solids, viscous fluids and elastic–inelastic materials.

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0925-0042 resented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.978-3-030-57778-0978-3-030-57776-6Series ISSN 0925-0042 Series E-ISSN 2214-7764