期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 146, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2020.104214
关键词
Contact mechanics; Half-plane theory; Partial slip; Varying normal load; moment; shear load; and bulk tension; Asymptotes
资金
- European Union [721865]
- Rolls-Royce plc
- EPSRC under the Prosperity Partnership Grant Cornerstone: Mechanical Engineering Science to Enable Aero Propulsion Futuresg [EP/R004951/1]
- EPSRC [EP/R004951/1] Funding Source: UKRI
This contribution introduces an asymptotic formulation for stick-slip behavior in incomplete contacts under oscillatory variation, providing a solution for cases where known analytical solutions reach limitations. A comparison is made between the explicit analytical solution and the asymptotic approach using the example geometry of a shallow wedge.
This contribution presents an asymptotic formulation for the stick-slip behaviour of incomplete contacts under oscillatory variation of normal load, moment, shear load and differential bulk tension. The asymptotic description allows us not only to approximate the size of the slip zones during the steady-state of a cyclic problem without knowledge of the geometry or contact law, but provides a solution when all known analytical solutions for incomplete contacts reach their limitations, that is, in the presence of a varying moment and a differential bulk tension large enough to reverse the direction of slip at one end of the contact. An insightful comparison between the mathematically explicit analytical solution and the asymptotic approach is drawn using the example geometry of a shallow wedge.
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