Plane incomplete contact problems subject to bulk stress with a varying normal load
For a general symmetric incomplete contact, if we can deduce the partial slip solution when it is subject first to a normal load (held constant) and then to a monotonically increasing bulk tension, we show, here, how to obtain the solution when the normal load and bulk tension vary with time in an a...
| Main Authors: | , , |
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| Format: | Journal article |
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Elsevier
2017
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| _version_ | 1826257665298268160 |
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| author | Ramesh, R Barber, JR Hills, DA |
| author_facet | Ramesh, R Barber, JR Hills, DA |
| author_sort | Ramesh, R |
| collection | OXFORD |
| description | For a general symmetric incomplete contact, if we can deduce the partial slip solution when it is subject first to a normal load (held constant) and then to a monotonically increasing bulk tension, we show, here, how to obtain the solution when the normal load and bulk tension vary with time in an arbitrary way. The procedure is demonstrated for a Hertzian contact where the constant normal load solution is known in closed form. The procedure reveals the extent of slip and the shear traction distribution at all points within the contact at any instant. It is found that the size of the permanent stick zone, for a given cyclic loading trajectory, is unique in the steady state. Steady state is established after one cycle of loading: that is, it is independent of the transient loading before the steady state cycle is reached, and this same property is observed for the case of varying normal and shear loading (P - Q). An example is given to illustrate the type of behaviour that is to be expected. |
| first_indexed | 2024-03-06T18:21:44Z |
| format | Journal article |
| id | oxford-uuid:0685b109-a900-4632-ace9-0f7d30593fef |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:21:44Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:0685b109-a900-4632-ace9-0f7d30593fef2022-03-26T09:02:57ZPlane incomplete contact problems subject to bulk stress with a varying normal loadJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0685b109-a900-4632-ace9-0f7d30593fefSymplectic Elements at OxfordElsevier2017Ramesh, RBarber, JRHills, DAFor a general symmetric incomplete contact, if we can deduce the partial slip solution when it is subject first to a normal load (held constant) and then to a monotonically increasing bulk tension, we show, here, how to obtain the solution when the normal load and bulk tension vary with time in an arbitrary way. The procedure is demonstrated for a Hertzian contact where the constant normal load solution is known in closed form. The procedure reveals the extent of slip and the shear traction distribution at all points within the contact at any instant. It is found that the size of the permanent stick zone, for a given cyclic loading trajectory, is unique in the steady state. Steady state is established after one cycle of loading: that is, it is independent of the transient loading before the steady state cycle is reached, and this same property is observed for the case of varying normal and shear loading (P - Q). An example is given to illustrate the type of behaviour that is to be expected. |
| spellingShingle | Ramesh, R Barber, JR Hills, DA Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title | Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title_full | Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title_fullStr | Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title_full_unstemmed | Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title_short | Plane incomplete contact problems subject to bulk stress with a varying normal load |
| title_sort | plane incomplete contact problems subject to bulk stress with a varying normal load |
| work_keys_str_mv | AT rameshr planeincompletecontactproblemssubjecttobulkstresswithavaryingnormalload AT barberjr planeincompletecontactproblemssubjecttobulkstresswithavaryingnormalload AT hillsda planeincompletecontactproblemssubjecttobulkstresswithavaryingnormalload |