A group analysis approach is developed for the model describing a nonlinear elastic road of variable cross-section. Thus, some sets of exact invariant solutions to the system of governing equations are obtained. Meanwhile, via the group theoretic methods considered herein, possible functional forms of the stress-strain laws as well as the cross-section area are charcterized.
INVARIANT SOLUTIONS AND CONSTITUTIVE LAWS FOR A NONLINEAR ELASTIC ROD OF VARIABLE CROSS SECTION
CURRO', Carmela;FUSCO, Domenico
1986-01-01
Abstract
A group analysis approach is developed for the model describing a nonlinear elastic road of variable cross-section. Thus, some sets of exact invariant solutions to the system of governing equations are obtained. Meanwhile, via the group theoretic methods considered herein, possible functional forms of the stress-strain laws as well as the cross-section area are charcterized.File in questo prodotto:
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