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.

References:

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 Milan.Jirasek@fsv.cvut.cz