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Purely Mechanical Constitutive Equations

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Continuum Mechanics with Eulerian Formulations of Constitutive Equations

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 265))

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Abstract

The objective of this chapter is to discuss purely mechanical constitutive equations. After identifying unphysical arbitrariness of the classical Lagrangian formulation of constitutive equations, an Eulerian formulation for nonlinear elastic materials is developed using evolution equations for microstructural vectors \({\mathbf {m}}_i\). 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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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa, Israel

    M. B. Rubin

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Correspondence to M. B. Rubin .

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Rubin, M.B. (2021). Purely Mechanical Constitutive Equations. In: Continuum Mechanics with Eulerian Formulations of Constitutive Equations. Solid Mechanics and Its Applications, vol 265. Springer, Cham. https://doi.org/10.1007/978-3-030-57776-6_5

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  • DOI: https://doi.org/10.1007/978-3-030-57776-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57775-9

  • Online ISBN: 978-3-030-57776-6

  • eBook Packages: EngineeringEngineering (R0)

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