Family of Invariant Stress Surfaces
This article has a reply.
VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 122, Issue 3
Abstract
A family of invariant stress surfaces with a cubic dependence on the deviatoric stress components is expressed as a linear combination of the second and third deviatoric stress invariants. The general format is described in terms of two functions of the mean stress. A simple geometric derivation demonstrates the convexity of the contours in the deviatoric plane. An explicit representation of the deviatoric contours in terms of a size and a shape parameter is given. The shape parameter effects a continuous transition from a triangle to a circle in the deviatoric plane. An explicit format in terms of the triaxial compression and tension generators is derived, and the plane stress contour is given in explicit form. Many previously proposed failure and yield criteria are obtained as special cases.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bresler, B., and Pister, K. S.(1958). “Strength of concrete under combined stresses.”J. Am. Concrete Inst., 55, 321–345.
2.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers . Springer-Verlag, New York, N.Y.
3.
de Boer, R., and Dresenkamp, H. T.(1989). “Constitutive equations for concrete in failure state.”J. Engrg. Mech., 115(8), 1591–1608.
4.
Drucker, D. C., and Prager, W. (1952). “Soil mechanics and plasticity analysis of limit design.”Q. Appl. Math. 10, 157–165.
5.
Hibbitt, Karlsson, and Sorensen. (1992). ABACUS, Users Manual, Ver. 5.2, Vol. 1, Sect. 4.6.3.1.
6.
Hsieh, S. S., Ting, E. C., and Chen, W. F. (1982). “A plasticity-fracture model for concrete.”Int. J. of Solids and Struct. 18, 181–197.
7.
Labbane, M., Saha, N. K., and Ting, E. C. (1993) “Yielding criterion and loading function for concrete plasticity.”Int. J. Solids and Struct. 30, 1269–1288.
8.
Lade, P. V.(1977). “Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces.”Int. J. Solids and Struct., 13, 1019–1035.
9.
Matsuoka, H., and Nakai, T.(1985). “Relationship among Tresca, Mises, Mohr-Coulomb and Matsuoka-Nakai failure criteria.”Soils and Found., 25, 123–128.
10.
Ottosen, N. S.(1977). “A failure criterion for concrete.”J. Engrg. Mech. Div. ASCE, 103(4), 527–535.
11.
Schickert, G., and Winkler, H. (1977). “Results of test concerning strength and strain of concrete subjected to multiaxial compressive stress.”Deutscher Ausschuss für Stahlbeton, Heft 277, Berlin, Germany.
12.
William, K. J., and Warnke, E. P. (1975). “Constitutive model for the triaxial behavior of concrete.”Seminar on Concrete Struct. Subjected to Triaxial Stress, Proc. Int. Assoc. for Bridge and Struct. Engrs., 19, Paper III-1.
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Mar 1, 1996
Published in print: Mar 1996
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.