Constitutive parameters and their evolution

Pauli Pedersen, Daniel A Tortorelli

Research output: Contribution to journalArticlepeer-review


The three-dimensional problem of anisotropic evolution is formulated and solved using the tools from optimal design. Basic assumptions are the principle of maximum energy dissipation and a function that relates the damage, as measured by the rate of a constitutive matrix norm, to an effective stress measure. The presentation relies on alternative description for the 21 constitutive parameters and only restricts the constitutive matrix to be semipositive definite.

Original languageEnglish (US)
Pages (from-to)295-310
Number of pages16
JournalControl and Cybernetics
Issue number2
StatePublished - Dec 1 1998


  • Anisotropic evolution
  • Damage
  • Stiffness and energy

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Applied Mathematics

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