Bigoni, D;
Bosi, F;
Dal Corso, F;
Misseroni, D;
(2014)
Instability of a penetrating blade.
Journal of the Mechanics and Physics of Solids
, 64
pp. 411-425.
10.1016/j.jmps.2013.12.008.
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Abstract
Application of a dead compressive load at the free end of an elastic rod (the ‘blade’) induces its penetration into a sliding sleeve ending with a linear elastic spring. Bifurcation and stability analysis of this simple elastic system shows a variety of unexpected behaviors: (i) an increase of buckling load at decreasing of elastic stiffness; (ii) a finite number of buckling loads for a system with infinite degrees of freedom (leading to a non-standard Sturm–Liouville problem); (iii) more than one bifurcation load associated to each bifurcation mode; (iv) a restabilization of the straight configuration after the second bifurcation load associated to the first instability mode; (v) the presence of an Eshelby-like (or configurational) force, deeply influencing stability. Only the first of these behaviors was previously known, the second and third ones disprove common beliefs, the fourth highlights a sort of ‘island of instability’, and the last one shows surprising phenomena and effects on stability.
Type: | Article |
---|---|
Title: | Instability of a penetrating blade |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1016/j.jmps.2013.12.008 |
Publisher version: | https://doi.org/10.1016/j.jmps.2013.12.008 |
Language: | English |
Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
URI: | https://discovery.ucl.ac.uk/id/eprint/10094062 |
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