Nonlocal Microplane Concrete Model with Rate Effect and Load Cycles. I: General Formulation
This article has a reply.
VIEW THE REPLYPublication: Journal of Materials in Civil Engineering
Volume 5, Issue 3
Abstract
The nonlocal microplane model for concrete is improved to describe unloading, reloading, cyclic loading, and the rate effect. The differences compared to the previous formulation are: (1) Normal strain component on the microplane is not split into its volumetric and deviatoric parts—rather the normal component is made dependent on the lateral normal strains on the microplane; and (2) instead of considering on each microplane only one shear strain vector parallel to the shear stress vector, the shear strain is represented by two independent components on the microplane. To introduce rate effect, the stress‐strain law for each microplane component is described by a generalized Maxwell model—a series coupling of a linear viscous element and an elastoplastic‐fracturing element. Nonlinear unloading‐reloading hysteresis rules with back‐ and objective‐stresses are developed to introduce hysteresis. The model is then combined with nonlocal theory to enable describing localization phenomena and avoid spurious mesh sensitivity due to strain softening. The numerical implementation in finite‐element programs is described. The study consists of two parts; part I deals with the general formulation (part II deals with experimental verification).
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bažant, Z. P. (1971). “Numerically stable algorithm with increasing time steps for integral‐type aging creep.” Proc., 1st Int. Conf. on Struct. Mech. in Reactor Technol., T. A. Jaeger, ed., West Berlin, Germany, 4, Part H, 119–126.
2.
Bažant, Z. P. (1984). “Microplane model for strain‐controlled inelastic behavior.” Mechanics of engineering materials, C. S. Desai and R. H. Gallagher, eds., John Wiley and Sons, New York, N.Y., 45–59.
3.
Bažant, Z. P. (1988). “Improvements of microplane model.” Int. Res. Notes, North‐western University, Evanston, Ill.
4.
Bažant, Z. P., Belytschko, T. B., and Chang, T.‐P. (1984). “Continuum theory for strain‐softening.” J. Engrg. Mech., ASCE, 110(12), 1666–1692.
5.
Bažant, Z. P., and Chern, J.‐C. (1985). “Strain softening with creep and exponential algorithm.” J. Engrg. Mech., ASCE, 111(3), 391–415.
6.
Bažant, Z. P., and Lin, F.‐B. (1988). “Nonlocal smeared cracking model for concrete fracture.” J. Struct. Engrg., ASCE, 114(11), 2493–2510.
7.
Bažant, Z. P., and Oh, B. H. (1985). “Microplane model for progressive fracture of concrete and rock.” J. Engrg. Mech., ASCE, 111(4), 559–582.
8.
Bažant, Z. P., and Oh, B. H. (1986). “Efficient numerical integration on the surface of a sphere.” Zeitschrift für Angewandte Mathematik und Mechanik, Leipzig, Germany, 66(1), 37–49.
9.
Bažant, Z. P., and Ožbolt, J. (1990). “Nonlocal microplane model for fracture, damage, and size effect in structures.” J. Engrg. Mech., ASCE, 116(11), 2485–2505.
10.
Bažant, Z. P., and Pijaudier‐Cabot, G. (1988). “Nonlocal continuum damage, localization instability and convergence.” J. Appl. Mech., 55(2), 287–293.
11.
Bažant, Z. P., and Prat, P. C. (1988a). “Microplane model for brittle‐plastic material: I. Theory.” J. Engrg. Mech., ASCE, 114(10), 1672–1680.
12.
Bažant, Z. P., and Prat, P. C. (1988b). “Microplane model for brittle‐plastic material: II. Verification.” J. Engrg. Mech., ASCE, 114(10), 1689–1702.
13.
Carol, I., Bažant, Z. P., and Prat, P. C. (1992). “New explicit microplane model for concrete: Theoretical aspects and numerical implementation.” Int. J. Solids and Struct., 29(9), 1173–1191.
14.
Hasegawa, T., and Bažant, Z. P. (1991). “Nonlocal microplane model with rate effect for concrete.” Struct. Engrg. Rep., 91‐9/919, Department of Civil Engineering, Northwestern University, Evanston, Ill.
15.
Hasegawa, T., and Bažant, Z. P. (1993). “Nonlocal microplane concrete model with rate effect and load cycles. II: Application and verification.” J. Mat. In Civ. Engrg., ASCE, 5(3), 372–393.
16.
Ožbolt, J., and Bažant, Z. P. (1991). “Cyclic microplane model for concrete.” Proc. Int. RILEM/ESIS Conf. on fracture processes in brittle disordered materials: concrete, rock, ceramics, Chapman & Hall, London, England, 639–650.
17.
Pijaudier‐Cabot, G., and Bažant, Z. P. (1987). “Nonlocal damage theory.” J. Engrg. Mech., ASCE, 113(10), 1512–1533.
18.
Taylor, G. I. (1938). “Plastic strain in metals.” J. Inst. Metals, 62, 307–324.
Information & Authors
Information
Published In
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Sep 23, 1991
Published online: Aug 1, 1993
Published in print: Aug 1993
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.