Scalar, vectorial and tensorial damage parameters from the mesoscopic background
Other Condensed Matter
2016-05-20 v1 Materials Science
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 case of a special geometry to a function of the scalar damage parameter.
Cite
@article{arxiv.0712.0087,
title = {Scalar, vectorial and tensorial damage parameters from the mesoscopic background},
author = {C. Papenfuss and P. Ván},
journal= {arXiv preprint arXiv:0712.0087},
year = {2016}
}
Comments
14 pages, 2 figures