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Constitutive parameters and their evolution

Pedersen P., Tortorelli D.

Control and Cybernetics

1998

Vol. 27, no 2

295--310

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 restrics the constitutive matrix to be semipositive definite.