journal article·2006-04

Some Thoughts on Frame Indifference

Ronald S. Rivlin

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Abstract

Frame indifference is intimately related to the idealization, in conventional continuum mechanics, of the surface on which the surface forces act as a two-dimensional continuum devoid of mass. In the kinetic theory of gases, the surface is effectively a layer with thickness of the order of magnitude of the mean free path. The calculated pressure matrix contains a frame dependent term that represents the Coriolis forces that emerge in this layer when the applied forces are transformed from a fixed to a rotating reference frame.
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Research context

OpenAlex topics: Elasticity and Material Modeling · Dynamics and Control of Mechanical Systems · Contact Mechanics and Variational Inequalities

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Affiliations

Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA

References (7)

Show source-provided references
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3. 10.1093/oso/9780198563938.001.000110.1093/oso/9780198563938.001.0001 ↗
4. Rivlin, R. S. Frame indifference . Rendiconti Lincei Matematica E Applicazioni, 3, 51-59 (1992).
5. 10.1007/978-1-4612-2416-710.1007/978-1-4612-2416-7 ↗
6. 10.1177/108128650503631410.1177/1081286505036314 ↗
7. Smith, G. F. Constitutive Equations for Anisotropic and Isotropic Materials. North-Holland, Amsterdam , 1994.