On criticism of the nature of objectivity in classical continuum physics

Continuum Mechanics and Thermodynamics

Volumn 17, Issue 2, 2005, Pages 135-148

  Murdoch, A I ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Material frame indifference; Objectivity

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FUNCTIONS; INVARIANCE; MATHEMATICAL MODELS; SUPERFLUID HELIUM; TENSORS; THERMODYNAMICS; TURBULENCE; VECTORS;

CONTINUUM PHYSICS; MATERIAL FRAME-INDIFFERENCE (MFI); OBJECTIVITY; OBSERVER;

CONTINUUM MECHANICS;

EID: 17744395312     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-004-0192-2     Document Type: Article

References (23)

1. Murdoch, A.I.: Objectivity in classical continuum physics: a rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations. Continuum Mech. Thermodyn. 15, 309-320 (2003)
2. Liu, I.-S.: On Euclidean objectivity and the principle of material frame-indifference. Continuum Mech. Thermodyn. 16, 177-183 (2003)
3. Liu, I.-S.: Further remarks on Euclidean objectivity and the principle of material frame-indifference. Continuum Mech. Thermodyn. 17, 125-133 (2005)
4. Truesdell, C., Noll, W.: The Non-Linear Field Theories of Mechanics, Vol.III/3. Berlin, Heidelberg, New York: Springer 1965
5. Edelen, D.G.B., McLennan, J.A.: Material indifference: a principle or a convenience. Int. J. Eng. Sci. 11, 813-817 (1973)
6. Murdoch, A.I.: On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Arch. Rat. Mech.Anal. 83, 185-194 (1983)
7. Muschik, W.: Objectivity and frame-indifference revisited. Arch. Mech. 50, 541-547 (1998)
8. Speziale, C.G.: A review of material frame-indifference in mechanics. Appl. Mech. Rev. 51, 489-504 (1998)
9. Svendsen, B., Bertram, A.: On frame-indifference and form-invariance in constitutive theory. Acta Mechanica 132, 195-207 (1999)
10. Müller, I.: On the frame dependence of stress and heat flux. Arch. Rat. Mech. Anal. 45, 241-250 (1972)
11. Roberts, P.H., Donnelly, R.J.: Superfluid mechanics, Annual Review of Fluid Mechanics Vol. 6 (ed. van Dyke, M., Vincenti, W.G., Wehausen, J.V.). Palo Alto: Annual Reviews (1974)
12. Speziale, C.G.: Some interesting properties of two-dimensional turbulence. Phys. Fluids 24, 1425-1427 (1981)
13. Steigmann, D.J.: Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Int. J. Non-linear Mech. 39, 1193-1216 (2004)
14. Noll, W.: Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rat. Mech. Anal. 52, 62-92 (1973)
15. Murdoch, A.I.: On objectivity and material symmetry for simple elastic solids. J. Elasticity 60, 233-242 (2000)
16. Murdoch, A.I.: On material frame-indifference. Proc. R. Soc. Lond. A 380, 417-426 (1982)
17. Jones, R.M.: Mechanics of Composite Materials. New York: McGraw-Hill 1975
18. Burnett, D.: The distribution of molecular velocities and the mean motion in a non-uniform gas. Proc. R. Soc. Lond. 40, 382-435 (1935)
19. Söderholm, L.H.: The principle of material frame-indifference and material equations of gases. Int. J. Eng. Sci. 14, 523-528 (1976)
20. Speziale, G.: On frame-indifference and iterative procedures in the kinetic theory of gases. Int. J. Eng. Sci. 19, 63-73 (1981)
21. Truesdell, C.: 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. Meccanica 11, 196-199 (1976)
22. Hills, R.N., Roberts, P.H.: Superfluid Mechanics for a high density of vortex lines. Arch. Rat. Mech. Anal. 24, 43-71 (1977)
23. Bertram, A., Svendsen, B.: On material objectivity and constitutive equations. Arch. Mech. 53, 653-675 (2001)