Metric Description of Singular Defects in Isotropic Materials

@article{Kupferman2015MetricDO,
title={Metric Description of Singular Defects in Isotropic Materials},
author={R. Kupferman and M. Moshe and Jake P. Solomon},
journal={Archive for Rational Mechanics and Analysis},
year={2015},
volume={216},
pages={1009-1047}
}

Classical elasticity is concerned with bodies that can be modeled as smooth manifolds endowed with a reference metric that represents local equilibrium distances between neighboring material elements. The elastic energy associated with the configuration of a body in classical elasticity is the sum of local contributions that arise from a discrepancy between the actual metric and the reference metric. In contrast, the modeling of defects in solids has traditionally involved extra structure on… CONTINUE READING