Given a smooth, positive definite symmetric two-tensor C defined on a connected and simply connected plane material body, a set of explicit formulae are given for the displacement field that makes C the right Cauchy-Green strain tensor of a regular configuration, provided C satisfies a necessary compatibility condition.
@article{urn:eudml:doc:38470,
title = {Exact integration of the Cauchy-Green tensor.},
journal = {Extracta Mathematicae},
volume = {11},
year = {1996},
pages = {37-40},
mrnumber = {MR1424742},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38470}
}
Corona, Carlos M. Exact integration of the Cauchy-Green tensor.. Extracta Mathematicae, Tome 11 (1996) pp. 37-40. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38470/