Frame Indifference
- Volume: 3, Issue: 1, page 51-59
- ISSN: 1120-6330
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topRivlin, Ronald. "Frame Indifference." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.1 (1992): 51-59. <http://eudml.org/doc/244094>.
@article{Rivlin1992,
abstract = {It is shown, in the context of the Thermomechanics of simple materials with memory, that frame indifference and, equivalently, rotation invariance are necessary consequences of the laws of classical Mechanics and the definition of the stress matrix and heat flux vector.},
author = {Rivlin, Ronald},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Constitutive equations; Frame indifference; Rotation invariance; stresses; surface tractions; rotations of frame; kinetic theory of gases},
language = {eng},
month = {3},
number = {1},
pages = {51-59},
publisher = {Accademia Nazionale dei Lincei},
title = {Frame Indifference},
url = {http://eudml.org/doc/244094},
volume = {3},
year = {1992},
}
TY - JOUR
AU - Rivlin, Ronald
TI - Frame Indifference
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/3//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 1
SP - 51
EP - 59
AB - It is shown, in the context of the Thermomechanics of simple materials with memory, that frame indifference and, equivalently, rotation invariance are necessary consequences of the laws of classical Mechanics and the definition of the stress matrix and heat flux vector.
LA - eng
KW - Constitutive equations; Frame indifference; Rotation invariance; stresses; surface tractions; rotations of frame; kinetic theory of gases
UR - http://eudml.org/doc/244094
ER -
References
top- GREEN, A. E. - RIVLIN, R. S., The mechanics of non-linear materials with memory, Part I. Arch. Rational Mech. Anal, 1, 1957, 1-21. Zbl0079.17602MR95628
- MULLER, I., On the frame dependence of stress and heat flux. Arch. Rational Mech. Anal., 45, 1972, 241-250. Zbl0243.76051MR1553565DOI10.1007/BF00251375
- EDELEN, D. G. B. - MCLENNAN, J. A., Material indifference: a principle or a convenience. Int. J. Engng. Sci., 11, 1973, 813-817. Zbl0283.76003
- RYSKIN, G. - RALLISON, J. M., On the applicability of the approximation of material frame-indifference in suspension mechanics. J. Fluid Mech., 99, 1980, 525-529. Zbl0447.76085MR587567DOI10.1017/S0022112080000742
- CHAPMAN, S. - COWLING, T. G., The mathematical theory of non-uniform gases. 3rd ed., Cambridge1970. Zbl0049.26102
- RYSKIN, G., The extensional viscosity of a dilute suspension of spherical particles at intermediate microscale Reynolds numbers. J. Fluid Mech., 99, 1980, 513-525. Zbl0447.76085MR587567DOI10.1017/S0022112080000742
- TRUESDELL, C. A. - NOLL, W., The non-linear field theories of mechanics. In: S. FLÜGGE (ed.), Handbuch der Physik, Springer, Berlin-Heidelberg-New York, vol. 3/3, 1965. Zbl0779.73004MR193816
- WANG, C., On the concept of frame indifference in continuum mechanics and in the kinetic theory of gases. Arch. Rational Mech. Anal, 58, 1975, 381-393. Zbl0359.76007MR406036
- WOODS, L. C., More on the bogus axioms of continuum mechanics. Bull. IMA, 18, 1982, 64-66. Zbl0532.73002MR657486
- RIVLIN, R. S., Objectivity of the constitutive equation for a material with memory. Int'l J. Solids Structures, 27, 1991, 395-397. Zbl0725.73006MR1072040DOI10.1016/0020-7683(91)90090-3
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