DOI: 10.1061/(asce)0733-9399(2000)126:9(944). Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress

Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress

10.1061/(asce)0733-9399(2000)126:9(944)

Crossref journal-article

American Society of Civil Engineers (ASCE)

Journal of Engineering Mechanics (30)

Bibliography

BaÅ¾ant, Z. P., Caner, F. C., Carol, I., Adley, M. D., & Akers, S. A. (2000). Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress. Journal of Engineering Mechanics, 126(9), 944â953.

Authors 5

Zdeněk P. Bažant (first)
Ferhun C. Caner (additional)
Ignacio Carol (additional)
Mark D. Adley (additional)
Stephen A. Akers (additional)

References 46 Referenced 212

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Bažant Z. P. (1980). “Work inequalities for plastic-fracturing materials.” Int. J. Solids and Struct. 16 870–901. (10.1016/0020-7683(80)90055-4)
Bažant Z. P. (1984). “Chapter 3: Microplane model for strain controlled inelastic behavior.” Proc. Mech. of Engrg. Mat. C. S. Desai and R. H. Gallagher eds. Wiley London 45–59.
{'key': 'e_1_2_1_5_2', 'volume-title': 'Stability of structures: Elastic, inelastic, fracture and damage theories', 'author': 'Bažant Z. P.', 'year': '1991'} / Stability of structures: Elastic, inelastic, fracture and damage theories by Bažant Z. P. (1991)
10.1061/(ASCE)0733-9445(1984)110:9(2015)
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Bažant Z. P. Kim J.-H. and Brocca M. (1999). “Finite strain tube-squash test for concrete at high pressure and shear angles up to 70°.” ACI Mat. J. 96(5) 580–592. (10.14359/661)
Bažant Z. P. and Oh B.-H. (1983). “Microplane model for fracture analysis of concrete structures.” Proc. Symp. on Interaction of Non-Nuclear Munitions with Struct. U.S. Air Force Academy Colorado Springs Colo. 49–53.
10.1061/(ASCE)0733-9399(1985)111:4(559)
Bažant Z. P. and Oh B.-H. (1986). “Efficient numerical integration on the surface of a sphere.” Zeitschrift für angewandte Mathematik und Mechanik ( ZAMM ) Berlin 66(1) 37–49. (10.1002/zamm.19860660108)
10.1061/(ASCE)0733-9399(1990)116:11(2485)
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Budianski B. and Wu T. T. (1962). “Theoretical prediction of plastic strains of polycrystals.” Proc. 4th U.S. Nat. Congr. of Appl. Mech. ASME New York 1175–1185.
10.1061/(ASCE)0733-9399(2000)126:9(954)
Carol I. and Bažant Z. P. (1997). “Damage and plasticity in microplane theory.” Int. J. Solids and Struct. 34(29) 3807–3835. (10.1016/S0020-7683(96)00238-7)
10.1061/(ASCE)0733-9399(1991)117:10(2429)
Carol I. Jirásek M. Bažant Z. P. and Steinmann P. (1998). “New thermodynamic approach to microplane model with application to finite deformations.” Tech. Rep. PI-145 International Center for Numerical Methods in Engineering (CIMNE) Barcelona Spain.
Carol I. Jirásek M. and Bažant Z. P. (2000). “New thermodynamic approach to microplane model. Part I: Free energy and consistent microplane stresses.” Rep. Northwestern University Evanston Ill. (10.1016/S0020-7683(00)00212-2)
Carol I. Prat P. C. and Bažant Z. P. (1992). “New explicit microplane model for concrete: Theoretical aspects and numerical implementation.” Int. J. Solids and Struct. 29(9) 1173–1191. (10.1016/0020-7683(92)90141-F)
Cofer W. F. and Kohut S. W. (1994). “A general nonlocal microplane concrete material model for dynamic finite element analysis.” Comp. and Struct. 53(1) 189–199. (10.1016/0045-7949(94)90141-4)
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Hill R. (1965). “Continuum micromechanics of elastoplastic polycrystals.” J. Mech. Phys. Solids 13 89–101. (10.1016/0022-5096(65)90023-2)
Hill R. (1966). “Generalized constitutive relations for incremental deformations of metal crystals by multi-slip.” J. Mech. Phys. Solids 14 95–102. (10.1016/0022-5096(66)90040-8)
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Dates

Type	When
Created	23 years ago (July 26, 2002, 7:56 a.m.)
Deposited	3 years, 2 months ago (June 8, 2022, 8:08 p.m.)
Indexed	1 day, 1 hour ago (Aug. 23, 2025, 9:18 p.m.)
Issued	24 years, 11 months ago (Sept. 1, 2000)
Published	24 years, 11 months ago (Sept. 1, 2000)
Published Print	24 years, 11 months ago (Sept. 1, 2000)

Funders 0

None

BibTeX

@article{Ba_ant_2000, title={Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress}, volume={126}, ISSN={1943-7889}, url={http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:9(944)}, DOI={10.1061/(asce)0733-9399(2000)126:9(944)}, number={9}, journal={Journal of Engineering Mechanics}, publisher={American Society of Civil Engineers (ASCE)}, author={Bažant, Zdeněk P. and Caner, Ferhun C. and Carol, Ignacio and Adley, Mark D. and Akers, Stephen A.}, year={2000}, month=sep, pages={944–953} }

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