The two-dimensional adhesive contact problem in the theory of couple stress elasticity
Source abstract
Abstract
The adhesive contact problem of a half-space indented by a rigid cylindrical punch in the theory of couple-stress elasticity is investigated. Both the size effect and adhesion are considered to analyze the two-dimensional frictionless contact problem. The method of Mindlin’s stress function and the technology of Fourier transform are applied to reduce the mixed boundary value problem to the singular integral equations. Efficient computational techniques is used to obtain the influence of the size effect and adhesion parameter on the adhesive contact behavior. Results indicated that the size effect play an important role in contact with adhesion and can help understanding the mechanism of adhesion.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Mechanical stress and fatigue analysis · Mechanical Behavior of Composites · Nonlocal and gradient elasticity in micro/nano structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanics, Inner Mongolia University of Technology, Hohhot, China;
Key laboratory of Civil Engineering Structure and Mechanics, Inner Mongolia University of Technology, Hohhot, China
References (37)
Show source-provided references
1. 10.1016/0956-7151(94)90502-910.1016/0956-7151(94)90502-9 ↗
2. 10.1016/j.scriptamat.2011.12.00310.1016/j.scriptamat.2011.12.003 ↗
3. Ling Z · J Compos Mater · 2000 · 34 · 101
4. 10.1016/S1359-6454(01)00327-510.1016/S1359-6454(01)00327-5 ↗
5. 10.1016/S0022-5096(97)00086-010.1016/S0022-5096(97)00086-0 ↗
6. Voigt W · Abh Der Koniglichen Ges Der Wiss zu Gottingen · 1887 · 34 · 3
7. Cosserat E · 1909
8. 10.1007/BF0025394510.1007/BF00253945 ↗
9. 10.1007/BF0025394610.1007/BF00253946 ↗
10. 10.1007/BF0232721910.1007/BF02327219 ↗
11. Koiter WT · Proc K Ned Akad Wetenschappen: Ser B · 1964 · 67 · 17
12. 10.1016/S0020-7683(02)00152-X10.1016/S0020-7683(02)00152-X ↗
13. Şimşek M · Compos Struct · 2013 · 101 · 4710.1016/j.compstruct.2013.01.017 ↗
14. Abadi MM · Int J Eng Sci · 2014 · 75 · 4010.1016/j.ijengsci.2013.11.009 ↗
15. 10.1016/j.ijengsci.2014.11.00310.1016/j.ijengsci.2014.11.003 ↗
16. Li Z · Int J Mech Sci · 2018 · 141 · 19810.1016/j.ijmecsci.2018.03.035 ↗
17. 10.1098/rspa.1971.014110.1098/rspa.1971.0141 ↗
18. 10.1016/0021-9797(75)90018-110.1016/0021-9797(75)90018-1 ↗
19. 10.1016/0021-9797(77)90366-610.1016/0021-9797(77)90366-6 ↗
20. 10.1016/0021-9797(92)90285-T10.1016/0021-9797(92)90285-T ↗
21. Sergici AO · J Mech Phys Solids · 2006 · 54 · 184310.1016/j.jmps.2006.03.005 ↗
22. 10.1163/156856197X0077810.1163/156856197X00778 ↗
23. Chen S · Int J Solids Struct · 2009 · 46 · 339810.1016/j.ijsolstr.2009.05.006 ↗
24. 10.1016/j.ijsolstr.2012.05.00310.1016/j.ijsolstr.2012.05.003 ↗
25. 10.1016/j.ijsolstr.2010.02.01010.1016/j.ijsolstr.2010.02.010 ↗
26. 10.1016/j.ijsolstr.2013.06.00710.1016/j.ijsolstr.2013.06.007 ↗
27. 10.1080/01694243.2018.148329110.1080/01694243.2018.1483291 ↗
28. 10.1016/j.apm.2018.12.00210.1016/j.apm.2018.12.002 ↗
29. Zisis T · Int J Solids Struct · 2014 · 51 · 208410.1016/j.ijsolstr.2014.02.016 ↗
30. Zisis T · Int J Solids Struct · 2015 · 63 · 22610.1016/j.ijsolstr.2015.03.002 ↗
31. Gourgiotis P · J Strain Anal Eng · 2016 · 51 · 31810.1177/0309324715611524 ↗
32. Gourgiotis PA · Int J Solids Struct · 2016 · 85 · 3410.1016/j.ijsolstr.2016.01.017 ↗
33. 10.1016/j.ijsolstr.2016.12.02710.1016/j.ijsolstr.2016.12.027 ↗
34. Song HX · Int J Mech Sci · 2017 · 133 · 80410.1016/j.ijmecsci.2017.09.037 ↗
35. 10.1017/CBO978113917173110.1017/CBO9781139171731 ↗
36. Gradshteyn IS · 2014
37. Erdogan F · Quart Appl Math · 1972 · 29 · 52510.1090/qam/408277 ↗