Visual framework for development and use of constitutive models

Youssef M.A. Hashash, Donald C. Wotring, John I.Chiang Yao, Jung Suk Lee, Qingwei Fu

Research output: Contribution to journalArticlepeer-review


Advanced constitutive relations are used in geotechnical engineering to capture measured soil and rock behaviour in the laboratory, and in numerical models to represent the material response. These constitutive relations have traditionally been difficult to use, understand, and develop except by a limited number of specialists. This paper describes a framework for transforming the representation of constitutive relations, as well as stress and strain quantities from a series of mathematical equations and matrix quantities to multidimensional geometric/visual objects in a dynamic interactive colour-rich display environment. The paper proposes a shift in current approaches to the development of constitutive equations and their use in numerical simulations by taking advantage of rapid advancements in information technology and computer graphics. A novel interactive visualization development and learning environment for material constitutive relations referred to as VizCoRe is presented. Visualization examples of two constitutive relations, the linear elastic with von Mises failure criteria and the Modified Cam Clay (MCC) are shown. These include two- and three-dimensional renderings of stress states and paths and yield and failure surfaces. In addition, the environment allows for the visualization of the implicit integration algorithm used for the numerical integration of both constitutive models.

Original languageEnglish (US)
Pages (from-to)1493-1513
Number of pages21
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number15
StatePublished - Dec 25 2002


  • Constitutive models
  • Elasto-plasticity
  • Glyphs
  • Visualization

ASJC Scopus subject areas

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials


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