New explicit microplane model for concrete: Theoretical aspects and numerical implementation

Ignacio Carol*, Pere C. Prat, Zdeněk P. Bažant

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Scopus citations


The microplane model is a powerful approach for the representation of the complex triaxial behavior of concrete and other similar materials. However, most efforts in previous formulations were devoted to the development of the model itself and to the experimental data fitting, rather than to a comprehensive theoretical description or to attainment of a modular and computationally efficient implementation in a computer code. In this paper, these objectives are pursued. The formulation of the model has been modified to rationalise the structure of the basic hypotheses, simplify the equations and generalise the concepts whenever possible. The result is a new formulation which, while retaining the favorable properties achieved previously, is also easier to understand, and convenient for computer implementation and large-scale calculations. A computational scheme is presented with the unified structure of a general code serving the double purpose of lest specimen analysis and finite element analysis. In practice, this structure includes two different main programs which call the same set of constitutive subroutines. A salient feature of the new version of the model is that the compulation of the stress corresponding to a prescribed strain increment of finite si/e is fully explicit. Step-by-step numerical integration, usually necessary for the practical use of constitutive models, can be avoided. Consequently, the complexity of the code and the cost of computations can be dramatically reduced. Some examples of applications, used to verify the previous version of the model, are also presented. They demonstrate that this new formulation gives a much better numerical efficiency for code implementation while keeping the same desirable features and accuracy in experimental data fitting.

Original languageEnglish (US)
Pages (from-to)1173-1191
Number of pages19
JournalInternational Journal of Solids and Structures
Issue number9
StatePublished - 1992

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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