Thin Film Deformation Behavior of Power-Law Creeping Materials
Publication: Journal of Engineering Mechanics
Volume 123, Issue 11
Abstract
The behavior of power-law creeping materials in the form of thin films subject to plane strain and axisymmetric deformation is studied. Analytical calculations, finite-element analysis, and experimental studies are performed. Both the elastic and viscous behavior are investigated, and the effects of interfacial friction, compressibility, and delayed elasticity are discussed. Solutions are obtained for compression, shear, and combined compression with shear. The solutions provide a microscopic “flat-plate” viscous flow contact model for use in micromechanical models of particulates composites. It is concluded that for thin films the elastic component of the material behavior can be modeled accurately using Nadia's solutions for an elastic material, and that the nonlinear viscous component can be modeled well by assuming unidirectional flow in a uniform passage. These two solutions can be combined into a nonlinear Maxwell model that describes the contact behavior accurately, for small or large strains. Finally, the creep response of a plane-strain, power-law viscous contact under combined compression and shear can be approximated by an elliptical function in terms of compressive and shear stresses or strain rates.
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References
1.
Cheung, C. Y. (1995). “Mechanical behaviour of bitumens and bituminous mixes,” PhD thesis, Dept. of Engrg., Univ. of Cambridge, Cambridge, U.K.
2.
Cocks, A. C. F. (1994). “The structure of constitutive laws for the sintering of fine grained materials.”Acta Metallurgica et Materialia, Oxford, U.K. 42(7), 2191–2210.
3.
Deshpande, V. S. (1995). “Deformation behaviour of idealized bituminous mixes,” MS thesis, Dept. of Engrg., Univ. of Cambridge, Cambridge, U.K.
4.
Fleck, N. A., Kuhn, L. T., and McMeeking, R. M.(1992). “Yielding of metal bonded by isolated contacts.”J. Mech. and Phys. Solids, 40(5), 1139–1162.
5.
Fröhlich, H., and Sack, R. (1946). “Theory of the rheological properties of dispersions.”Proc., Royal Soc. of London, London, U.K., A185, 415–430.
6.
Hills, J. F.(1973). “The creep of asphalt mixes.”J. Inst. Petroleum, 59(570), 247–262.
7.
Kuhn, L. T., and McMeeking, R. M.(1992). “Power-law creep of powder bonded by isolated contacts.”Int. J. Mech. Sci., 34(7), 563–573.
8.
Nadai, A. (1963). Theory of flow and fracture of solids, Vol. 2. McGraw-Hill, New York, N.Y.
9.
Rothenburg, L., Bogobowicz, A., Haas, R., Jung, F. W., and Kennepohl, G. (1992). “Micromechanical modelling of asphalt concrete in connection with pavement rutting problems.”Proc., 7th Int. Conf. on Struct. Design of Asphalt Pavements. Int. Soc. for Asphalt Pavements, Nottingham, U.K.
10.
Van der Poel, C. (1958). “On the rheology of concentrated dispersions.”Rheologica Acta, Darmstadt, Germany, 198–205.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Nov 1, 1997
Published in print: Nov 1997
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