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/