Abstract
Motions of a certain type are shown to be possible in every compressible or incompressible, homogeneous, isotropic simple material, in the absence of body force. These motions have a specific spatial dependence and the nature of the time dependence, for a particular material, is determined by the material response function or functional for the shear stress in simple shear. It is shown further that motions of this type, and spatially homogeneous, time dependent temperatures, can be supported without application of body force or radiative supply of heat.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Carroll, M. M., Oscillatory shearing of nonlinearly elastic solids. Z. angew. Math. Phys., to appear.
Truesdell, C., & W. Noll, The Nonlinear Field Theories of Mechanics, Handbuch der Physik III/3, Berlin-Heidelberg-New York: Springer 1965.
Ericksen, J. L., General solutions in the hydrostatic theory of liquid crystals. Trans. Soc. Rheol. 11, 5 (1967).
Author information
Authors and Affiliations
Additional information
Communicated by M. E. Gurtin
Rights and permissions
About this article
Cite this article
Carroll, M.M. Unsteady homothermal motions of fluids and isotropic solids. Arch. Rational Mech. Anal. 53, 218–228 (1974). https://doi.org/10.1007/BF00251385
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00251385