The invariance of the power sum under a change of frame of reference is investigated and a theorem relating this invariance to the balance laws for mass, momentum and moment of momentum is proved. This gives a new perspective on previous similar results obtained by Noll, Beatty and Green and Rivlin.
NollW. La Méchanique classic, basée sur un axiome d’objectivité. In: ChateletAlbert (ed.) La méthode axiomatique dans le méchaniques classiques et nouvelles. Paris: Gautier-Villars, 1963, 47-56.
2.
BeattyMF.On the Foundation principles of general classical mechanics. Arch Ration Mech Anal1967; 24: 264-273,.
3.
NollW.Space-time structures in classical mechanics. In: TruesdellClifford A. (ed.) The foundations of mechanics and thermodynamics, selected papers by W. Noll. Berlin, Heidelberg, New York: Springer, 1974.
4.
TruesdellCA.A first course in rational continuum mechanics. San Diego, CA: Academic Press Inc., 1991.
5.
LidströmP.A note on frame indifference and material isomorphism for simple materials. Math Mech Solid2013; 20: 461-479.
6.
MarsdenJEHughesTJR. Mathematical foundations of elasticity. New York: Dover Publications Inc., 1983.
7.
GreenAERivlinRS.On Cauchy’s equations of motion. Zeitschrift für Angewandte Mathematik und Physik (ZAMP)1964; 15: 290-292.
8.
NollWVirgaE.Fit regions and functions of bounded variation. Arch Ratio Mech Anal1988; 102: 1–21.
9.
LidströmP.Frames of reference in multibody dynamics. Math Mech Solid2017; 24: 98-151.
