journal article·2018-12-19Open access

Three-Dimensional Thermoelastic Contact Model of Coated Solids with Frictional Heat Partition Considered

Tingjian Wang, Xinxin Ma, Liqin Wang, Le Gu, Longcheng Yin, Jingjing Zhang, Liwei Zhan, Dong Sun

Coatings· Volume 8· Issue 12

Abstract

In this paper, a three-dimensional thermoelastic contact model of coated solids with the frictional heat partition considered is developed by introducing a frictional heat partition model. The influence coefficients of the temperature rise, normal displacement and stress components in the three-dimensional thermoelastic contact model are converted from their corresponding frequency response functions (FRFs) with a conversion method based on the fast Fourier transform (FFT), and the FRFs of solids coated with a homogeneous coating subjected to a coupled action of the mechanical loading and the frictional heat flux on its surface are deduced in the frequency domain by introducing a two-dimensional Fourier integral transform. The contact pressure and the frictional heat partition between the two bodies are solved by employing a fast numerical algorithm based on the conjugate gradient method (CGM) and a discrete convolution fast Fourier transformation (DC-FFT). Comparison between the solutions of the present model and those of a thermoelastic contact model in literature is conducted in order to validate the present model. Several specific conclusions on the effect of the sliding speed, thermoelastic properties and thickness of the coating are drawn based on the result of numerical investigation by utilizing the present model.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Adhesion, Friction, and Surface Interactions · Brake Systems and Friction Analysis · Mechanical stress and fatigue analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

School of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 300222, China

School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China

Aero Engine Corporation of China Harbin Bearing Co., Ltd., Harbin 150001, China

Funding

National Natural Science Foundation of China · TIANJIAN MUNICIPAL EDUCATION COMMISSION

References (55)

Show source-provided references
1. The tribological performance of DLC-coated gears lubricated with biodegradable oil in various pinion/gear material combinations10.1016/j.wear.2005.02.028 ↗
2. Contact fatigue performance of helical gears with surface coatings10.1016/j.wear.2011.12.011 ↗
3. Is 2 nm DLC coating enough to resist the nanowear of silicon10.1016/j.wear.2013.01.088 ↗
4. Thermomechanical analysis of elastoplastic bodies in a sliding spherical contact and the effects of sliding speed, heat partition, and thermal softening10.1115/1.2959110 ↗
5. Sneddon, I.N. (1951). Fourier Transforms, McGraw-Hill.
6. The general theory of stresses and displacements in layered systems. I10.1063/1.1707558 ↗
7. The general theory of stresses and displacements in layered soil systems. III10.1063/1.1707590 ↗
8. Computation of stresses and displacements in a layered elastic medium10.1016/0020-7225(71)90072-3 ↗
9. Impact and contact stress analysis in multilayer media10.1016/0020-7683(72)90079-0 ↗
10. Sliding contact stress-field due to a spherical indenter on a layered elastic half-space10.1115/1.3261591 ↗
11. Influence of a hard surface layer on the limit of elastic contact—Part I: Analysis using a real surface model10.1115/1.2833525 ↗
12. A numerical three-dimensional contact model for rough, multilayered elastic/plastic solid surfaces10.1016/j.wear.2005.02.014 ↗
13. Partial slip contact analysis on three-dimensional elastic layered half space10.1115/1.4001011 ↗
14. Contact mechanics of coating-substrate systems: Monolayer and multilayer coatings10.1016/j.acme.2012.07.004 ↗
15. Stress analysis of elastic coated solids in point contact10.1016/j.triboint.2015.01.013 ↗
16. Modeling elasto-plastic indentation on layered materials using the equivalent inclusion method10.1016/j.ijsolstr.2010.06.011 ↗
17. Finite element analysis of repeated indentation of an elastic-plastic layered medium by a rigid sphere, Part I: Surface results10.1115/1.2895880 ↗
18. Three-dimensional finite element analysis of subsurface stress and strain fields due to sliding contact on an elastic-plastic layered medium10.1115/1.2833223 ↗
19. Competing failure mechanism and life prediction of plasma sprayed composite ceramic coating in rolling-sliding contact condition10.1016/j.triboint.2014.01.014 ↗
20. Carslaw, H., and Jaeger, J.C. (1959). Conduction of Heat in Solids, Oxford University Press.
21. Green’s functions for transient thermoelastic contact problems for the half-plane10.1016/0043-1648(82)90200-9 ↗
22. Thermoelastic displacements and stresses due to a heat source moving over the surface of a half plane10.1115/1.3167685 ↗
23. A thermoelastic asperity contact model considering steady-state heat transfer10.1080/10402009908982280 ↗
24. A three-dimensional thermomechanical model of contact between non-conforming rough surfaces10.1115/1.1327585 ↗
25. Thermomechanical behavior of multilayered media: Theory10.1115/1.3261963 ↗
26. Thermomechanical behavior of multilayered media: Results10.1115/1.2920259 ↗
27. FFT thermoelastic solutions for moving heat sources10.1115/1.2832452 ↗
28. An FGM coated elastic solid under thermomechanical loading: A two dimensional linear elastic approach10.1016/j.surfcoat.2004.11.005 ↗
29. Two-dimensional thermoelastic contact problem of functionally graded materials involving frictional heating10.1016/j.ijsolstr.2011.05.003 ↗
30. Shi, Z. (2001). Mechanical and Thermal Contact Analysis in Layered Elastic Solids. [Ph.D. Thesis, University of Minnesota].
31. Elasto-plastic coupled temperature-displacement finite element analysis of two-dimensional rolling-sliding contact with a translating heat source10.1115/1.2920609 ↗
32. Three-dimensional finite element analysis of elastic-plastic layered media under thermomechanical surface loading10.1115/1.1497360 ↗
33. Mechanical and thermomechanical elastic-plastic contact analysis of layered media with patterned surfaces10.1115/1.1609487 ↗
34. Achieving high tribological performance of graphite-like carbon coatings on ti6al4v in aqueous environments by gradient interface design10.1007/s11249-011-9851-1 ↗
35. Improvement of strength and wear resistance of metal products with ion-plasma nitride coatings by pulse technique implementations10.1007/s11223-014-9564-4 ↗
36. Optimising deposition parameters of W-DLC coatings for tool materials of high speed steel and cemented carbide10.1016/j.vacuum.2012.06.011 ↗
37. Improving the mechanical and tribological properties of TiB2/a-C nanomultilayers by structural optimization10.1016/j.ceramint.2017.11.125 ↗
38. Johnson, K.L. (1985). Non-Hertzian normal contact of elastic contact bodies. Contact Mechanics, Cambridge University Press.10.1017/CBO9781139171731.006 ↗
39. A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques10.1016/S0043-1648(99)00113-1 ↗
40. Dry contact analysis based on the conjugate gradient methods and fast fourier transformation10.3901/JME.2006.07.014 ↗
41. A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses10.1016/S0043-1648(00)00427-0 ↗
42. Transient thermoelastic contact problem of two sliding half-planes10.1016/0043-1648(85)90086-9 ↗
43. Contact analyses for bodies with frictional heating and plastic behavior10.1115/1.1843851 ↗
44. Blok, H. (1937, January 13–15). Theoretical study of temperature rise at surfaces of actual contact under oiliness lubricating conditions. Proceedings of the General Discussion on Lubrication and Lubricants, London, UK.
45. Maximum and average flash temperatures in sliding contacts10.1115/1.2927035 ↗
46. Moving sources of heat and the temperature at sliding surfaces
47. The temperature of rubbing bodies; part 2, the distribution of temperatures10.1016/0043-1648(88)90249-9 ↗
48. Interfacial temperature distribution within a sliding hertzian contact10.1080/05698197108983226 ↗
49. An FFT-based transient flash temperature model for general three-dimensional rough surface contacts10.1115/1.555395 ↗
50. Frictional heating of tribological contacts10.1115/1.2830596 ↗
51. Shewchuk, J.R. (1994). An Introduction to the Conjugate Gradient Method without the Agonizing Pain, Carnegie Mellon University.
52. Non-Hertzian contact stress analysis for an elastic half-space normal and sliding contact10.1016/0020-7683(83)90032-X ↗
53. Spectral analysis of two-dimensional contact problems10.1115/1.2831303 ↗
54. Studying contact stress fields caused by surface tractions with a discrete convolution and fast fourier transform algorithm10.1115/1.1401017 ↗
55. Elastic coating with inhomogeneous interlayer under the action of normal and tangential forces10.1007/s11003-014-9659-x ↗