Third‐Invariant Model for Rate‐Dependent Soils
Publication: Journal of Geotechnical Engineering
Volume 111, Issue 2
Abstract
A theory of viscoplasticity for frictional materials is developed in which first and third invariants of stress and strain are used instead of the more conventional second invariants. Rate effects are incorporated directly into the expression for the flow surface so that the numerical algorithm for a plasticity subroutine can be used. The usual concepts of strain‐ and strain rate‐hardening viscoplasticity are used, except that a non‐associated flow rule is required to control dilatation. For two sandy materials, detailed comparisons are made of theoretical and experimental stress‐strain data for both static and dynamic paths.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baladi, G. Y., and Rohani, B., “Development of an Elastic‐Viscoplastic Constitutive Relationship for Earth Materials,” Proceedings, International Conference on Constitutive Laws for Engineering Materials, Theory and Application, C. S. Desai and R. H. Gallagher, eds., Tucson, Ariz., Jan. 10–14, 1983, pp. 521–523.
2.
Drucker, D. C., Gibson, R. E., and Henkel, D. J., “Soil Mechanics and Work‐Hardening Theories of Plasticity,” Transactions, 122, 1957, pp. 338–346.
3.
Ito, T., and Fujimoto, K., “Strain Rate Effects on Stress‐Strain Relationships of Sand,” Proceedings of the 30th Japan National Conference for Applied Mechanics, Vol. 30, University of Tokyo Press, 1980, pp. 17–24.
4.
Jackson, F. G., Ehrgott, J. Q., and Rohani, B., “Loading Rate Effects on Compressibility of Sand,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 106, No. GT8, Aug., 1980, pp. 839–852.
5.
Lade, P. V., “Elasto‐Plastic Stress‐Strain Theory for Cohesionless Soil with Curved Yield Surfaces,” International Journal of Solids and Structures, Vol. 13, 1977, pp. 1019–1035.
6.
Lade, P. V., and Duncan, J. M., “Cubical Triaxial Tests on Cohesionless Soil,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 99, 1973, pp. 793–812.
7.
Nelson, I., Baron, M. L., and Sandler, I., “Mathematical Models for Geological Materials for Wave‐Propagation Studies,” Shock Waves and the Mechanical Properties of Solids, Chapt. 13, Syracuse University Press, Syracuse, N.Y., 1971, pp. 289–351.
8.
Perzyna, P., “Fundamental Problems in Viscoplasticity,” Advances in Applied Mechanics, Vol. 9, Academic Press, New York, N.Y., 1966.
9.
Rubin, M. B., “A Thermoelastic‐Viscoplastic Model with a Rate‐Dependent Yield Strength,” Journal of Applied Mechanics, Vol. 49, June 1982, pp. 305–311.
10.
Schindler, L., “An Improved Facility for Testing Soils in One‐Dimensional Compression,” Proceedings, International Symposium on Wave Propagation and Dynamic Properties of Earth Materials, University of New Mexico, Albuquerque, N.M., Aug. 23–25, 1967, pp. 847–860.
11.
Schreyer, H. L., “A Third‐Invariant Plasticity Theory for Frictional Materials,” Journal of Structural Mechanics, Vol. 11(2), 1983, pp. 177–196.
12.
Schreyer, H. L., and Babcock, S. M., “A Third‐Invariant Plasticity Theory for Low‐Strength Concrete,” to appear in Journal of Engineering Mechanics, ASCE.
13.
Whitman, R. V., “The Response of Soils to Dynamic Loading,” Contract Report No. 3‐26, U.S. Army Engineer Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., May, 1970.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 111 • Issue 2 • February 1985
Pages: 181 - 192
Copyright
Copyright © 1985 ASCE.
History
Published online: Feb 1, 1985
Published in print: Feb 1985
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.