Frictional shakedown of a coupled continuous contact
The plane elastic problem of a circular disc shrink fitted into a hole in an elastically similar plane, with a frictional interface, is studied. The disc is subject to a radial force and torque both of which vary with time. In the steady-state the loads vary harmonically, and a relative phase shift...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2023
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| _version_ | 1797110564569219072 |
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| author | Cwiekala, N Barber, JR Hills, DA |
| author_facet | Cwiekala, N Barber, JR Hills, DA |
| author_sort | Cwiekala, N |
| collection | OXFORD |
| description | The plane elastic problem of a circular disc shrink fitted into a hole in an elastically similar plane, with a frictional interface, is studied. The disc is subject to a radial force and torque both of which vary with time. In the steady-state the loads vary harmonically, and a relative phase shift is considered. Frictional slip is accounted for by edge dislocations distributed along the interface. It is shown that the steady-state response, which might, for example, be cyclic slip or full adhesion (shakedown) for a particular loading regime, depends on the loading history before the steady-state loading regime is entered. This contrasts with Melan’s theorem for elastic–plastic shakedown, and is a consequence of the normal–tangential coupling in this frictional system. |
| first_indexed | 2024-03-07T07:56:34Z |
| format | Journal article |
| id | oxford-uuid:c688166c-a9fa-4faa-b2a4-3ede42f3f1ce |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:56:34Z |
| publishDate | 2023 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:c688166c-a9fa-4faa-b2a4-3ede42f3f1ce2023-08-23T14:10:43ZFrictional shakedown of a coupled continuous contactJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c688166c-a9fa-4faa-b2a4-3ede42f3f1ceEnglishSymplectic ElementsElsevier2023Cwiekala, NBarber, JRHills, DAThe plane elastic problem of a circular disc shrink fitted into a hole in an elastically similar plane, with a frictional interface, is studied. The disc is subject to a radial force and torque both of which vary with time. In the steady-state the loads vary harmonically, and a relative phase shift is considered. Frictional slip is accounted for by edge dislocations distributed along the interface. It is shown that the steady-state response, which might, for example, be cyclic slip or full adhesion (shakedown) for a particular loading regime, depends on the loading history before the steady-state loading regime is entered. This contrasts with Melan’s theorem for elastic–plastic shakedown, and is a consequence of the normal–tangential coupling in this frictional system. |
| spellingShingle | Cwiekala, N Barber, JR Hills, DA Frictional shakedown of a coupled continuous contact |
| title | Frictional shakedown of a coupled continuous contact |
| title_full | Frictional shakedown of a coupled continuous contact |
| title_fullStr | Frictional shakedown of a coupled continuous contact |
| title_full_unstemmed | Frictional shakedown of a coupled continuous contact |
| title_short | Frictional shakedown of a coupled continuous contact |
| title_sort | frictional shakedown of a coupled continuous contact |
| work_keys_str_mv | AT cwiekalan frictionalshakedownofacoupledcontinuouscontact AT barberjr frictionalshakedownofacoupledcontinuouscontact AT hillsda frictionalshakedownofacoupledcontinuouscontact |