We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By Gamma-convergence we derive a one-dimensional limit theory and show that isolated local minimizers of the limit model can be approached by local minimizers of the three-dimensional model. In the case of isotropic materials and for two-layers prestrained three-dimensional models the limit energy further simplifies to that of a Kirchhoff rod-model of an intrinsically curved beam. In this case we study the limit theory and investigate global and/or local stability of straight and helical configurations.

On global and local minimizers of prestrained thin elastic rods / Cicalese, Marco; Ruf, Matthias; Solombrino, Francesco. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 56:4(2017). [10.1007/s00526-017-1197-6]

On global and local minimizers of prestrained thin elastic rods

Cicalese, Marco
;
Solombrino, Francesco
2017

Abstract

We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By Gamma-convergence we derive a one-dimensional limit theory and show that isolated local minimizers of the limit model can be approached by local minimizers of the three-dimensional model. In the case of isotropic materials and for two-layers prestrained three-dimensional models the limit energy further simplifies to that of a Kirchhoff rod-model of an intrinsically curved beam. In this case we study the limit theory and investigate global and/or local stability of straight and helical configurations.
2017
On global and local minimizers of prestrained thin elastic rods / Cicalese, Marco; Ruf, Matthias; Solombrino, Francesco. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 56:4(2017). [10.1007/s00526-017-1197-6]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/696325
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