Nonlocal Continuum Damage/Plasticity Model for Impulse‐Loaded RC Beams
Publication: Journal of Structural Engineering
Volume 115, Issue 9
Abstract
In this paper, a rate‐independent constitutive model for plain concrete is proposed for application to the analysis of impulse‐loaded structural members. The model combines a continuum damage approach, using a scalar damage variable, with a pressure‐sensitive plasticity model. The plasticity model incorporates a nonassociated flow rule in regions of low compressive or tensile hydrostatic pressures and an associated flow rule elsewhere; the possibility of energy generation through use of a nonassociated flow rule is avoided through modification of the flow rule relations. Strain softening is also included and the deleterious side effects (i.e., mesh dependency and unreasonable energy dissipation) are avoided through use of a nonlocal definition of the damage parameter. The concrete model is combined with a uniaxial steel model and a layered, large‐strain, Timoshenko beam element to perform the analysis of impulse‐loaded, simply supported, reinforced‐concrete beams.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bažant, Z. P., Belytschko, T. B., and Chang, T. P. (1984). “Continuum theory for strain softening.” J. Engrg. Mech., ASCE, 110(12), 1666–1692.
2.
Bažant, Z. P., and Pijaudier‐Cabot, G. (1987). “Modeling of distributed damage by nonlocal continuum with local strain.” Proc., Fourth Int. Conf. of Numerical Methods in Fracture Mech., Luxmore et al., eds., Pineridge Press, Swansea, U.K., 411–432.
3.
Belytschko, T., Welch, E., and Bruce, R. (1974). “Large displacement nonlinear transient analysis by finite elements.” Proc., Int. Conf. Vehicle Struct. Mech., Society of Automotive Engineers, 188–197.
4.
Corley, W. G. (1966). “Rotational capacity of reinforced concrete beams.” J. Struct. Engrg., ASCE, 92(5), 121–146.
5.
Feldman, A., and Siess, C. P. (1958). “Investigation of resistance and behavior of reinforced concrete members subjected to dynamic loading, part II.” Civil Engrg. Studies Structural Research Series No. 165, Univ. of Illinois, Urbana, Ill.
6.
Frantziskonis, G., and Desai, C. S. (1987). “Elastoplastic model with damage for strain softening geomaterials.” Acta Mechanica, 68, 151–170.
7.
Il'iushin, A. A. (1961). “On the postulate of plasticity.” Prikl. Mat. Mekh., 25(3), 503–507.
8.
Lasry, D., and Belytschko, T. B. (1987). “Localization limiters in transient problems.” Int. J. Solids Struct., 24(6), 581–597.
9.
Mazars, J. (1982). “Mechanical damage and fracture of concrete structures.” Advances in Fracture Research (Fracture 81), 4, Pergamon Press, New York, N.Y., 1499–1506.
10.
Ortiz, M. (1985). “A constitutive theory for the inelastic behavior of concrete.” Mech. of Mat., 4, 67–93.
11.
Park, R., and Paulay, T. (1975). Reinforced Concrete Structures. Wiley‐Interscience, John Wiley and Sons, New York, N.Y.
12.
Pijaudier‐Cabot, G., and Bažant, Z. P. (1987). “Nonlocal damage theory.” J. Engrg. Mech., ASCE, 113(10), 1512–1533, Center for Concr. and Geomaterials, Northwestern Univ., Ill.
13.
Puglisi, R. D., and Krauthammer, T. (1987). “Dynamic response analysis of shallow‐buried reinforced concrete arches.” Civ. and Min. Engrg. Rep. ST‐87‐06, Univ. of Minnesota, Minneapolis, Minn.
14.
Sandler, I. S., and Rubin, D. (1987). “The consequences of non‐associated plasticity in dynamic problems.” Constitutive Laws for Engineering Materials: Theory and Applications, C. S. Desai et al., eds., Elsevier Science Publishing Co., New York, N.Y., 345–352.
15.
Schreyer, H. L., and Bean, J. E. (1987). “Plasticity models for soils, rock and concrete.” Report, New Mexico Engrg. Res. Inst., Albuquerque, N.M.
16.
Schreyer, H. L., and Chen, Z. (1986). “One‐dimensional softening with localization.” J. Appl. Mech., 53, 791–797.
17.
Simo, J. C., et al. (1987). “On strain‐based continuum damage models: Formulation and computational aspects.” Constitutive Laws for Engineering Materials: Theory and Applications, C. S. Desai et al., eds., Elsevier Science Publishing Co., New York, N.Y., 233–245.
18.
Stevens, D. J., and Krauthammer, T. (1988). “Development of an advanced computational approach for the analysis of buried reinforced concrete structures subjected to severe stress transients.” Civ. and Min. Engrg. Rep. ST‐88‐05, Univ. of Minnesota, Minneapolis, Minn.
19.
Willam, K. J., Bicanic, N., and Sture, S. (1984). “Constitutive and computational aspects of strain‐softening and localization in solids.” Constitutive Equations: Macro and Computational Aspects, K. J. Willam, ed., ASME, New York, N.Y., 233–252.
20.
Yazdani, S., and Schreyer, H. L. (1987). “A unified plasticity and damage mechanics model for plain concrete.” Report, University of New Mexico, Albuquerque, N.M.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 9 • September 1989
Pages: 2329 - 2347
Copyright
Copyright © 1989 ASCE.
History
Published online: Sep 1, 1989
Published in print: Sep 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.