ESTONIAN ACADEMY
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eesti teaduste
akadeemia kirjastus
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proceedings
of the estonian academy of sciences
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Scalar, vectorial, and tensorial damage parameters from the mesoscopic background; pp. 132–141

Full article in PDF format | doi: 10.3176/proc.2008.3.03

Authors
Christina Papenfuss, Péter Ván

Abstract

In the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced. A scalar damage parameter, a second order damage tensor, and a vectorial damage parameter are defined in terms of this distribution function. As an example of a constitutive quantity the free energy density is given as a function of the damage tensor. This equation is reduced in the uniaxial case to a function of the damage vector and in the case of a special geometry, to a function of the scalar damage parameter.


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