More clarity on the concept of material frame-indifference in classical continuum mechanics
From MaRDI portal
Publication:836197
DOI10.1007/s00707-008-0028-4zbMath1169.74005OpenAlexW2008524868MaRDI QIDQ836197
Publication date: 31 August 2009
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-008-0028-4
Navier-Stokes equations for incompressible viscous fluids (76D05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (20)
Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry ⋮ Galilean relativistic fluid mechanics ⋮ Incremental constitutive models for elastoplastic materials undergoing finite deformations by using a four-dimensional formalism ⋮ A frame-indifferent model for a thermo-elastic material beyond the three-dimensional Eulerian and Lagrangian descriptions ⋮ Covariant spacetime formalism for applications to thermo-hyperelasticity ⋮ A geometric rationale for invariance, covariance and constitutive relations ⋮ A note on frame indifference and material isomorphism for simple materials ⋮ Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional ⋮ The bimetric model with an informational metric tensor ⋮ On spacetime structure, spacetime transformations and material frame-indifference in solid mechanics ⋮ Remarks on material frame-indifference controversy ⋮ Proper invariant turbulence modelling within one-point statistics ⋮ Kinematic quantities of finite elastic and plastic deformation ⋮ An analytical approach to rotor blade modulation ⋮ Thermodynamically consistent gradient elasticity with an internal variable ⋮ Observer-invariant time derivatives on moving surfaces ⋮ Variational principles and nonequilibrium thermodynamics ⋮ Modelling of elastic heat conductors via objective rate equations ⋮ On the relativistic micro-canonical ensemble and relativistic kinetic theory for N relativistic particles in inertial and non-inertial rest frames ⋮ On Hamiltonian continuum mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Another look at general covariance and the equivalence of reference frames
- Spacetime without reference frames: An application to the kinetic theory
- Frame dependence, entropy, entropy flux, and wave speeds in mixtures of gases
- On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases
- On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases
- Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame- indifference
- On frame-indifference and form-invariance in constitutive theory
- On the frame dependence and form invariance of the transport equations for the Reynolds stress tensor and the turbulence heat flux vector: Its consequences on closure models in turbulence modelling
- Objectivity in classical continuum physics: A rationale for discarding the `principle of invariance under superposed rigid body motions' in favour of purely objective considerations
- On the frame dependence of constitutive equations. I: Heat transfer through a rarefied gas between two rotating cylinders
- Material indifference: A principle or a convenience
- Lectures on the foundation of continuum mechanics and thermodynamics
- On Euclidean objectivity and the principle of material frame-indifference
- Mach's principle: from Newton's bucket to quantum gravity. Based on the conference at Tübingen, Germany, July 1993
- A frame-free formulation of elasticity
- Further remarks on Euclidean objectivity and the principle of material frame-indifference
- On criticism of the nature of objectivity in classical continuum physics
- On the frame dependence of stress and heat flux
- Reply to RIVLIN'sMaterial symmetry revisitedor Much Ado About Nothing
- Absolute time derivatives
- Some interesting properties of two-dimensional turbulence
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Derivation of the Stochastic Helmholtz Equation for Sound Propagation in a Turbulent Fluid
- Euclidean Geometry and Minkowskian Chronometry
- Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
- Theory of the Superfluidity of Helium II
- Allgemeine Relativitätstheorie
- On material frame-indifference
- Symmetries and differential equations
This page was built for publication: More clarity on the concept of material frame-indifference in classical continuum mechanics