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

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Continuum Mechanics with Eulerian Formulations of Constitutive Equations

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978-3-030-57778-0Springer Nature Switzerland AG 2021

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Lucas Paletta,Martin Pszeida,Mariella Panaglsystem. The objective of this chapter is to present a review of tensor analysis using both index and direct notations. To simplify the presentation of tensor calculus, attention is limited to tensors expressed relative to fixed rectangular Cartesian base vectors. (Some of the content in this chapter

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Syed Attiqur Rehman,Zhe Chen,Muhammad Harislong with a definition of the material time derivative, which is used to determine the velocity and acceleration of a material point. Deformation tensors and rate of deformation tensors are defined and analyzed. The notion of Superposed Rigid Body Motions (SRBM) is presented and the associated trans

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Charles Consel,Lucile Dupuy,Hélène Sauzéonof linear and angular momentum are presented in both global and local forms. The properties of the Cauchy stress tensor are derived and the rate of material dissipation is proposed. Invariance under Superposed Rigid Body Motions (SRBM) is discussed along with the development of the transformation re

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Jay Kalra,Nancy J. Lightner,Redha Taiarangian formulation of constitutive equations, an Eulerian formulation for nonlinear elastic materials is developed using evolution equations for microstructural vectors .. The influence of kinematic constraints on constitutive equations is discussed and specific nonlinear constitutive equations are

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