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 Mechanics and Thermodynamics

Volumn 15, Issue 3, 2003, Pages 309-320

  Murdoch, A I ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Continuum mechanics; Material frame indifference; Objectivity

Indexed keywords

EID: 0038345303     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-003-0121-9     Document Type: Article

References (22)

1. Chadwick, P.: Continuum Mechanics (Second Edition). Mineola: Dover (1999)
2. Edelen, D. G. B., McLennan, J. A.: Material indifference: a principle or a convenience. Int. J. Eng. Sci. 11, 813-817 (1973)
3. French, A. P.: Newtonian Mechanics. New York: Norton (1971)
4. Gurtin, M. E.: An Introduction to Continuum Mechanics. New York: Academic (1981)
5. Halmos, P. R.: Finite-dimensional Vector Spaces. Princeton: Van Nostrand (1958)
6. Hills, R. N., Roberts, P. H.: Superfluid mechanics for a high density of vortex lines. Arch. Rat. Mech. Anal. 66, 43-71 (1977)
7. Müller, I.: On the frame dependence of stress and heat flux. Arch. Rat. Mech. Anal. 45, 241-250 (1972)
8. Murdoch, A. I.: On material frame-indifference. Proc. R. Soc. Lond. A 380, 417-426 (1982)
9. 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)
10. Murdoch, A. I., Bedeaux, D.: On the physical interpretation of fields in continuum mechanics. Int. J. Eng. Sci. 31, 1345-1373 (1993)
11. Murdoch, A. I., Bedeaux, D.: Continuum equations of balance via weighted averages of microscopic quantities. Proc. R. Soc. Lond. A 445, 157-179 (1994)
12. Muschik, W.: Objectivity and frame-indifference, revisited. Arch. Mech. 50, 541-547 (1998)
13. Noll, W.: A new mathematical theory of simple materials. Ibid. 48, 1-50 (1972)
14. Noll, W.: Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rat. Mech. Anal. 52, 62-92 (1973)
15. Rivlin, R. S.: Red herrings and sundry unidentified fish in nonlinear continuum mechanics. Inelastic Behavior of Solids (ed. Kanninen, M. G., Adler, D., Rosenfield, A. R., Jaffee, R. I.). New York: McGraw Hill (1970)
16. 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)
17. Speziale, C. G.: Some interesting properties of two-dimensional turbulence. Phys. Fluids 24, 1425-1427 (1981)
18. Speziale, C. G.: A review of material frame-indifference in mechanics. Appl. Mech. Rev. 51, 489-504 (1998)
19. Svendsen, B., Bertram, A.: On frame-indifference and form-invariance in constitutive theory. Acta Mechanica 132, 195-207 (1999)
20. Truesdell, C., Noll, W.: The Non-Linear Field Theories of Mechanics, Vol. III/3. Berlin, Heidelberg, New York: Springer (1965)
21. Truesdell, C.: Six Lectures on Modern Natural Philosophy. Berlin, Heidelberg, New York: Springer (1966)
22. Truesdell, C.: A First Course in Rational Continuum Mechanics. New York, San Francisco, London: Academic (1977)