Toward a Physical Damage Variable for Concrete
Publication: Journal of Engineering Mechanics
Volume 132, Issue 7
Abstract
Continuum damage mechanics models, while elegant and useful, suffer from what are typically highly idealized relationships between model and material. In this technical note, using three-dimensional (3D) measurements of internal cracking, direct, albeit simple relationships were made between the quantity of cracking and a corresponding scalar damage variable. Geometric properties of internal cracks were measured through 3D image analysis of in situ microtomographic scans of small concrete specimens subject to compression. A scalar damage variable was determined from the changes in stiffness measured in successive loading cycles. Results showed a nearly linear relationship between the damage variable and the volume of new cracks formed. In contrast, results showed a nonlinear relationship between the damage variable and the crack surface area. Such relationships can potentially lead to a more physical basis for continuum damage formulations.
Get full access to this article
View all available purchase options and get full access to this article.
References
Flannery, B. P., Deckman, H. W., Roberge, W. G., and D’Amico, K. L. (1987). “Three-dimensional X-ray microtomography.” Science, 237, 1439–1444.
Franklin, W. R. (1999). “Connect.” ⟨http://www.ecse.rpi.edu/Homepages/wrf/research/connect/⟩
Gonzalez, R. C., and Woods, R. E. (2002). Digital image processing, Prentice-Hall, Upper Saddle River, N.J.
Krajcinovic, D. (1985). “Continuous damage mechanics revisited: Basic concepts and definitions.” J. Appl. Mech., 52, 829–834.
Krajcinovic, D., and Fanella, D. (1986). “A micromechanical model for concrete.” Eng. Fract. Mech., 25(5/6), 585–596.
Landis, E. N., Nagy, E. N., and Keane, D. T. (2003). “Microstructure and fracture in three dimensions.” Eng. Fract. Mech., 70(7), 911–925.
Leckie, F. A. (1996). “Mechanism-based continuum damage mechanics.” Inelasticity and Damage in Solids Subject to Microstructural Change: Proc., Lazar M. Kachanov Symp., Memorial Univ. of Newfoundland, St. Johns, Newfoundland, Canada, 3–15.
Lemaitre, J. (1992). A course on damage mechanics, Springer, Berlin.
Pijaudier-Cabot, G. (1995). “Nonlocal damage.” Continuum models for materials with microstructure, H. B. Muhlhaus, ed., Wiley, Chichester, U.K., 105–144.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 7 • July 2006
Pages: 771 - 774
Copyright
© 2006 ASCE.
History
Received: Mar 15, 2005
Accepted: Sep 22, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
Notes
Note. Associate Editor: Henri P. Gavin
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.