Necessity of law of balance/equilibrium of moment of moments in non-classical continuum theories for fluent continua

DOI10.1007/s00707-018-2143-1zbMath1442.76005OpenAlexW2792023251MaRDI QIDQ1794095

J. N. Reddy, S. W. Long, Karan S. Surana

Publication date: 15 October 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2143-1

Mathematics Subject Classification ID

Foundations of fluid mechanics (76A02)

Related Items

Thermodynamic consistency of nonclassical continuum theories for solid continua incorporating rotations, Nonclassical continuum theories for fluent media incorporating rotation rates and their thermodynamic consistency, Ordered rate constitutive theories for non-classical thermoviscoelastic solids with memory incorporating internal and Cosserat rotations, Ordered rate constitutive theories for thermoviscoelastic solids without memory incorporating internal and Cosserat rotations

Cites Work

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• A non-classical Mindlin plate model based on a modified couple stress theory
• On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. I, II, III, IV, V
• The theory of matrix polynomials and its application to the mechanics of isotropic continua
• Further results in the theory of matrix polynomials
• On the performance of narrow porous journal bearing lubricated with couple stress fluid
• On a fundamental error in two papers of C.-C. Wang 'On representations for isotropic functions, parts I and II'
• A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
• On representations for isotropic functions. I: Isotropic functions of symmetric tensors and vectors. II: Isotropic functions of skew-symmetric tensors, symmetric tensors, and vectors
• On a non-Newtonian fluid
• On the representations for isotropic vector-valued, symmetric tensor- valued and skew-symmetric tensor-valued functions
• A unifying treatise of variational principles for two types of micropolar continua
• Modified Reynolds equation for coupled stress fluids -- a porous media model
• Free convection effects on the oscillatory flow of a couple stress fluid through a porous medium
• Couple stress based strain gradient theory for elasticity
• Skew-symmetric couple-stress fluid mechanics
• Non-classical continuum theory for solids incorporating internal rotations and rotations of Cosserat theories
• Simple microfluids
• On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
• Creeping flow induced by a spinning sphere including couple stresses
• On Irreducible Representations for Isotropic Scalar Functions
• Microcontinuum Field Theories
• Ternary quadratic types
• A Mathematical Theory of Dilatancy