Microplane Model M5 with Kinematic and Static Constraints for Concrete Fracture and Anelasticity. II: Computation
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Volume 131, Issue 1
Abstract
Following the formulation of the constitutive model in the preceding Part I in this issue, the present Part II addresses the problems of computational algorithm and convergence of iterations. Typical numerical responses are demonstrated and the parameters of the model are calibrated by test data from the literature.
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Acknowledgments
Parts I and II of this study were partially funded under Grant No. CMS-0732791 from the U.S. National Science Foundation and Grant No. DE-FG07-98ER45736 from the Department of Energy, made both to Northwestern University.
References
Bažant, Z. P. (1976), “Instability, ductility, and size effect in strain-softening concrete.” J. Eng. Mech. Div., 102(2), 331–344.
Bažant, Z. P. (2002a). Scaling of structural strength, Hermes Science, London.
Bažant, Z. P. (2002b). “Concrete fracture models: Testing and practice.” Eng. Fract. Mech., 69(2), 165-206.
Bažant, Z. P., and Caner, F. C. (2005). “Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. I. Theory.” J. Eng. Mech., 131(1), 31–40.
Bažant, Z. P., Červenka, J., and Wierer, M. (2001). “Equivalent localization element for crack band model and as alternative to elements with embedded discontinuities.” Proc., 4th Int. Conf. Fracture Mechanics of Concrete Structures Paris, R. de Borst et al., eds., Swets & Zeitlinger, A. A. Balkema, Lisse, The Netherlands, 765–772.
Bažant, Z. P., Červenka, J., and Wierer, M. (2001b). “Equivalent localization element for crack band approach to mesh-size sensitivity in microplane model.” Int. J. Numer. Methods Eng. (in press).
Bažant, Z. P., and Oh, B.-H. (1983). “Crack band theory for fracture of concrete.” Mater. Struct., 16, 155–177.
Bažant, Z. P., Zi, G., and Jendele, L. (2002). “Softening adjustment of microplane model M4 based on fracture energy and crack band theory: Model M4f for Code ATENA.” Private Communication to Dr. Jan Červenka, Červenka Company, Prague.
Bresler, B., and Pister, K. S. (1958). “Strength of concrete under combined stresses.” J. Am. Concr. Inst., 55(20), 321–345.
Caner, F. C., and Bažant, Z. P. (2000). “Microplane model M4 for concrete: II. Algorithm and calibration.” J. Eng. Mech., 126(9), 954–961.
Petersson, P. E. (1981). “Crack growth and development of fracture zones in plain concrete and similar materials.” Rep. No. TVBM 1006, Lund Inst. of Technology, Lund, Sweden.
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© 2004 ASCE.
History
Received: Jan 27, 2003
Accepted: Feb 13, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
Notes
Note. Associate Editor: Franz-Josef Ulm
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