Extraction of Constitutive Data from Specimens Undergoing Strain Localization
Publication: Journal of Engineering Mechanics
Volume 115, Issue 8
Abstract
In specimens undergoing strain localization, applied forces and the corresponding measured displacements cannot be directly constraed as stress‐strain data, owing to the inhomogeneous character of the deformation. This complicates the interpretation of experimental data in materials which are prone to exhibiting localization prior to failure. However, we show that the true stress and strain paths inside a band in a localized specimen can be estimated simply from the measured data. Criteria are provided to determine when the proposed method may be expected to produce accurate results. Experimental records from concrete specimens are examined in the light of the method.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materials and Structures, Paris, France, 16, 155–177.
2.
Bažant, Z. P., and Pijaudier‐Cabot, G. (1987). “Measurement of characteristic length of nonlocal continuum.” Report 87‐12/498m, Tech. Inst., Northwestern Univ., Evanston, Ill.
3.
Brown, L. M., and Ogin, S. L. (1985). “Role of internal stresses in the nucleation of fatigue cracks.” Fundamentals of deformation and fracture, B. A. Bilby, K. J. Miller, and J. R. Willis, eds., Cambridge University Press, New York, N.Y., 501–528.
4.
Drescher, A., and Vardoulakis, I. (1982). “Geometric softening in triaxial tests on granular material,” Géotechnique, 32(4), 291–303.
5.
Leroy, Y., and Ortiz, M. “Finite element analysis of strain localization in frictional materials,” Int. J. Numer. Anal. Meth. Geomech.
6.
Mandel, J. (1964). “Conditions de stabilité et postulat de Drucker.” Proc. IUTAM Symp. Rheology Soil Mech.
8.
Marcinia, Z., and Kuczyński, K. (1967). “Limit strains in the processes of stretch‐forming sheet metal.” Int. J. Mech. Sci., 9, 609–620.
9.
Read, H. E., and Hegemier, G. A. (1984). “Strain softening of rock, soil and concrete—a review article,” Mech. Mater., 3, 271–294.
10.
Rice, J. R. (1968). “Mathematical analysis in the mechanics of fracture.” Fracture, H. Liebowitz, ed., Vol. 2, Academic Press, Orlando, Fla., 191–311.
11.
Rice, J. R. (1976). “The localization of plastic deformation.” Theoretical and applied mechanics, W. T. Koiter, ed., North‐Holland, 207–220.
12.
Rice, J. R. (1980). “The mechanics of earthquake rupture.” Physics of the earth's interior, A. M. Oziewouski and E. Boschs, eds., North Holland, 555–649.
13.
Rudnicki, J. W., and Rice, J. R. (1975). “Conditions for the localization of deformation in pressure sensitive dilatant materials.” J. Mech. Phys. Solids, 23, 371–394.
14.
Tada, H., Paris, P., and Irwin, G. (1973). The stress analysis of cracks handbook. Del Research Co.
15.
van Mier, J. G. M. (1984). “Strain‐softening of concrete under multiaxial loading conditions,” thesis presented to De Technische Hogeschool Eindhoven, The Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Vardoulakis, I. (1978). “Equilibrium bifurcation of granular earth bodies.” Advances in analysis of geotechnical instabilities, University of Waterloo Press, 65–119.
Information & Authors
Information
Published In
Copyright
Copyright © 1989 ASCE.
History
Published online: Aug 1, 1989
Published in print: Aug 1989
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.