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 Γ -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.
Original language | English |
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Article number | 115 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 56 |
Issue number | 4 |
DOIs | |
State | Published - 1 Aug 2017 |
Keywords
- 49J45
- 49S05
- 74K10