Milan Jirásek: Microplane Models

In one part of my Ph.D. dissertation I analyzed the pathological behavior of the original microplane model (Bazant and Prat, 1988). This criticism lead to the development of a new model based on the so-called stress-strain boundaries, first described in a conference paper and later in a full journal article (Bazant, Xiang and Prat, 1996). The most recent version of the microplane model is called model M4 (Bazant et al., 2000; Caner and Bazant, 2000).

I have also looked into a new damage microplane model proposed by Carol and Bazant (1997) and into the finite strain generalization of the model based on stress-strain boundaries. My comments are summarized in a paper presented at a workshop held in Prague in March 1998. With I.Carol and Z.P.Bazant we work on the thermodynamic framework for microplane models and on extensions to large strain.


Z. P. Bazant and P. Prat: "Microplane model for brittle plastic materials. I: Theory, II: Verification." Journal of Engineering Mechanics ASCE, 114 (1988), 1672-1702.

Z. P. Bazant, Y. Xiang and P. C. Prat: "Microplane model for concrete. I: Stress-strain boundaries and finite strain, II: Data delocalization and verification." Journal of Engineering Mechanics ASCE, 122 (1996), 245-262.

I. Carol and Z.P. Bazant: "Damage and plasticity in microplane theory." International Journal of Solids and Structures, 34 (1997), 3807-3835.

Z.P. Bazant, F.C. Caner, I. Carol, M.D. Adley, and S.A. Akers: "Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress." Journal of Engineering Mechanics ASCE, 126 (2000), 944-953.

F.C. Caner and Z.P. Bazant: "Microplane Model M4 for Concrete. II: Algorithm and Calibration." Journal of Engineering Mechanics ASCE, 126 (2000), 954-961.

Last update on 9 September 2005 by