Microplane Model for Concrete: Part I - State of the Art

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The fundamental concepts of the microplane theory for non-linear modeling of concrete are presented in this paper. The basic idea behind the model is that the relationships between stress and strain are defined on planes of various orientations that represent microstructural damage planes, such as contact layers between aggregate pieces. Starting from the pioneering idea formalized as the slip theory of the plasticity, several models have been proposed in literature with the aim of formulating a general procedure for damage and fracture in concrete, under different loading combinations. The literature models are critically discussed with the aim to introduce an application presented in a companion paper [1]: the application regards CFRP-confined concrete elements modeled at macro and meso-scale.

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95-105

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July 2016

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] Gambarelli, S., Nisticò, N., Ožbolt, J., Microplane model for concrete: Part II. Applications to CFRP-confined concrete elements, Proceedings of the 2nd International Symposium on Advances in Civil and infrastructure Engineering (ACE), Vietri sul mare, (2015).

DOI: 10.4028/www.scientific.net/amm.847.106

Google Scholar

[2] Taylor, G.I., Plastic strains in metals, Journal of the Institute of Metals; London, 62 (1938) 307-324.

Google Scholar

[3] Batdorf, S.B., Budianski, B., A mathematical theory of plasticity based on the concept of slip, Technical Note No. 1871, National Advisory Committee for Aeronautics, Washington, DC., (1949).

Google Scholar

[4] Bažant, Z.P., Microplane model for strain-controlled inelastic behavior, Mechanics of engineering of materials, C.S. Desai and R. H. Gallagher, eds., John Wiley and Sons, Inc., New York, N.Y., 45-59, (1984).

Google Scholar

[5] Bažant, Z.P., Gambarova, P.G., Crack shear in concrete: crack band microplane model, Journal of Engineering Mechanics, ASCE 110 (1984), 2015-(2035).

DOI: 10.1061/(asce)0733-9445(1984)110:9(2015)

Google Scholar

[6] Bažant, Z.P., Oh, B. H., Microplane model for progressive fracture of concrete and rock, J. Engrg. Mech., ASCE, 111(4) (1985), 559-582.

DOI: 10.1061/(asce)0733-9399(1985)111:4(559)

Google Scholar

[7] Bažant, Z.P., Prat, P. C., Microplane model for brittle-plastic material: parts I and II, Journal of Engineering Mechanics, ASCE, 114 (1988), 1672-1702.

DOI: 10.1061/(asce)0733-9399(1988)114:10(1689)

Google Scholar

[8] Bažant, Z.P., Ožbolt, J., Nonlocal microplane model for fracture, damge and size effect in structures, Journal of Engineering Mechanics, ASCE 116(11) (1990), 2485-2504.

DOI: 10.1061/(asce)0733-9399(1990)116:11(2485)

Google Scholar

[9] Carol, I., Prat, P., Bažant, Z.P., New explicit microplane model for concrete: theretical aspects and numerical implementation, International Journal of Solids and Structures 29(9) (1992), 1173-1191.

DOI: 10.1016/0020-7683(92)90141-f

Google Scholar

[10] Bažant, Z.P., Xiang, Y., Prat, P.C., Microplane model for concrete I. Stress-strain boundaries and finite strain, Journal of Engineering Mechanics, ASCE 122(3) (1996a), 245-262.

DOI: 10.1061/(asce)0733-9399(1996)122:3(245)

Google Scholar

[11] Bažant, Z.P., Xiang, Y., Adley, M., Prat, P.C., Akers, S., Microplane model for concrete II. Data delocalization and verification, Journal of Engineering Mechanics, ASCE 122(3) (1996b), 263-268.

DOI: 10.1061/(asce)0733-9399(1996)122:3(255)

Google Scholar

[12] Bažant, Z.P., Carner, F.C., Carol, I., Adley, M.D., Akers, S. A, Microplane model M4 for concrete. I: formulation with work-conjugate deviatoric stress, Journal of Engineering Mechanics, ASCE, Vol. 126(9) (2000), 944-953.

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

Google Scholar

[13] Fascetti, A., Bolander J.E., Nisticò, N., Random Lattice Modeling of Quasi-brittle Fracture in Cementitious Materials, Proceedings of the 2nd International Symposium on Advances in Civil and infrastructure Engineering (ACE), Vietri sul mare, (2015).

DOI: 10.4028/www.scientific.net/amm.847.121

Google Scholar

[14] Ožbolt, J., Li, Y. -J. and Kožar, I., Microplane model for concrete with relaxed kinematic constraint, International Journal of Solids and Structures, 38 (2001), 2683-2711.

DOI: 10.1016/s0020-7683(00)00177-3

Google Scholar

[15] Ožbolt, J., Bažant, Z.P., Microplane model for cyclic triaxial behavior of concrete, Journal of Engineering Mechanics, ASCE 118 (7) (1992), 1365-1386.

DOI: 10.1061/(asce)0733-9399(1992)118:7(1365)

Google Scholar

[16] Jirásek, M., Modeling of Fracture and Damage in Quasibrittle Materials, Doctoral Dissertation, Northwestern University, (1993).

Google Scholar

[17] Carol, I. and Bažant, Z.P., New developments in microplane and multicrack models for concrete, Fracture Mechanics of Concrete Structures, Edited by F.H. Wittman, Aedificatio Publishers, Vol. 2 (1995), 841-855.

Google Scholar

[18] Carol, I. and Bažant, Z.P., Damage and plasticity in microplane theory, International Journal of Solids and Structures 34 (29) (1997), 3807-3835.

DOI: 10.1016/s0020-7683(96)00238-7

Google Scholar

[19] Stroud, A.H., Approximate calculation of multiple integrals, Prentice-Hall, Inc., Englewood Cliffs, N.J., (1971).

Google Scholar

[20] Bažant, Z.P., and Oh, B.H., Efficient numerical integration on the surface of a sphere, Zeitschrift fur Angewandte Mathematik und Mechanik 66(1) (1986), 37-49.

DOI: 10.1515/9783112547540-005

Google Scholar