Wang, Z;
van der Heijden, GHM;
(2020)
Shock sensitivity in the localised buckling of a beam on a nonlinear foundation: The case of a trenched subsea pipeline.
Journal of the Mechanics and Physics of Solids
, 143
, Article 104044. 10.1016/j.jmps.2020.104044.
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Abstract
We study jump instability phenomena due to external disturbances to an axially loaded beam resting on a nonlinear foundation that provides both lateral and axial resistance. The lateral resistance is of destiffening-restiffening type known to lead to complex localisation phenomena governed by a Maxwell critical load that marks a phase transition to a periodic buckling pattern. For the benefit of having a concrete and realistic example we consider the case of a partially embedded trenched subsea pipeline under thermal loading but our results hold qualitatively for a wide class of problems with non-monotonic lateral resistance. In the absence of axial resistance the pipeline is effectively under a dead compressive load and experiences shock-sensitivity for loads immediately past the Maxwell load, i.e., extreme sensitivity to perturbations as may for instance be caused by irregular fluid flow inside the pipe or landslides. Nonzero axial resistance leads to a coupling of axial and lateral deformation under thermal loading. We define a ‘Maxwell temperature’ beyond which the straight pipeline may snap into a localised buckling mode. Under increasing axial resistance this Maxwell temperature is pushed to higher (safer) values. Shock sensitivity gradually diminishes and becomes less chaotic: jumps become more predictable. We compute minimum energy barriers for escape from pre-buckled to post-buckled states, which, depending on the magnitude of the axial resistance, may be induced by either symmetric, or anti-symmetric or non-symmetric perturbations.
| Type: | Article |
|---|---|
| Title: | Shock sensitivity in the localised buckling of a beam on a nonlinear foundation: The case of a trenched subsea pipeline |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jmps.2020.104044 |
| Publisher version: | https://doi.org/10.1016/j.jmps.2020.104044 |
| 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. |
| Keywords: | Subsea pipelines; Thermal buckling; Localised lateral buckling; Nonlinear pipe-soil interaction model; Trench; Bifurcation; Maxwell load; Homoclinic snaking; Periodic buckling; Shock sensitivity. |
| 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 Civil, Environ and Geomatic Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10104707 |
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