nach oben

Acta Mechanica

Erschienen in:

20.05.2020 | Original Paper

Thermoelastic influence of convective and conduction interstitial conditions on the size of the contact zone in three-dimensional receding thermoelastic contact problem

verfasst von: J. Vallepuga-Espinosa, I. Ubero-Martínez, J. Cifuentes-Rodríguez, L. Rodríguez-Tembleque

Erschienen in: Acta Mechanica | Ausgabe 7/2020

Einloggen, um Zugang zu erhalten

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

The temperature variation within two elastic bodies in perfect thermoelastic contact may cause the contact area to become convex and hence lead to a reduction in the size of the contacting surface. In receding thermoelastic contact problems, the final size of the contact zone is independent of the applied loads, being only affected by the thermomechanical properties of the solids. However, the final size of the contact zone can also be affected by the conductive and convective boundary conditions at the separation zones of the contacting surfaces. In those regions, the heat flux is a function of the separation between the solids, so the thermal and the thermoelastic problems are highly coupled. For this reason, this work studies the three-dimensional receding thermomechanical contact problem under conductive and convective boundary conditions at the interstitial zones of the contact area. After the validation of the numerical scheme presented to solve this problem, several examples are presented and discussed in detail. The results reveal that conductive and convective interstitial boundary conditions have a significant effect not only on the size of the contact zone, but also on the resulting tractions, temperature and heat flux distributions.

Vorheriger Artikel Mechanical explanation for simultaneous formation of different tissues in an organ morphogenesis

Nächster Artikel Cracked elastic layer with surface elasticity under antiplane shear loading

Dundurs, J.: Distorsion of a body caused by free thermal expansion. Mech. Res. Commun. 1(3), 121–124 (1974). https://doi.org/10.1016/0093-6413(74)90001-9

Comninou, M., Dundurs, J.: On the barber boundary conditions for thermoelastic contact. J. Appl. Mech. 46, 849–853 (1979)MATH

Barber, J.R.: Indentation of the semi-infinite elastic solid by a hot sphere. Int. J. Mech. Sci. 15, 813–819 (1973)

Dundurs, J., Stippes, M.: Role of elastic constants in certain contact problems. J. Appl. Mech. 37, 965–970 (1970)

Comez, I., Birinci, A., Erdol, R.: Double receding contact problem for a rigid stamp and two elastic layers. Eur. J. Mech. A Solids 23, 301–309 (2004)MATH

Kahya, V., Ozsahin, T.S., Birinci, A., Erdol, R.: A receding contact problem for an anisotropic elastic medium consisting of a layer and a half plane. Int. J. Solids Struct. 44, 5695–5710 (2007)MATH

Ahn, Y.J., Barber, J.R.: Response of frictional receding contact problems to cyclic loading. Int. J. Mech. Sci. 50, 1519–1528 (2008)MATH

Rhimi, M., El-Borgi, S., Ben Said, W., Ben Jemaa, F.: A receding contact axisymmetric problem between a functionally graded layer and a homogeneous substrate. Int. J. Solids Struct. 46(20), 3633–3642 (2009). https://doi.org/10.1016/j.ijsolstr.2009.06.008 MATH

Yan, J., Li, X.: Double receding contact plane problem between a functionally graded layer and an elastic layer. Eur. J. Mech. A Solids 53, 143–150 (2015). https://doi.org/10.1016/j.euromechsol.2015.04.001 MathSciNetMATH

10.

Parel, K.S., Hills, D.A.: Frictional receding contact analysis of a layer on a half-plane subjected to semi-infinite surface pressure. Int. J. Mech. Sci. 108–109, 137–143 (2016)

11.

Yilmaz, K.B., Comez, I., Yildirim, B., Güler, M.A., El-Borgi, S.: Frictional receding contact problem for a graded bilayer system indented by a rigid punch. Int. J. Mech. Sci. 141, 127–142 (2018)

12.

Lopes, J.P., Hills, D.A.: The axisymmetric frictional receding contact of a layer pressed against a half-space by pressure outside a disk. Eur. J. Mech. A Solids 77, 103787 (2019)MathSciNetMATH

13.

Lopes, J.P., Hills, D.A.: The axisymmetric frictional receding contact of a layer pressed against a half-space by a point force. Int. J. Solids Struct. 171, 47–53 (2019)MATH

14.

Wriggers, P., Zavarise, G.: Thermomechanical contact—a rigorous but simple numerical approach. Comput. Struct. 46(1), 47–53 (1993)

15.

Johansson, L., Klarbring, A.: Thermoelastic frictional contact problems: modelling, finite element aproximantion and numerical realization. Comput. Methods Appl. Mech. Eng. 105, 181–210 (1993)MATH

16.

Strömberg, N.: Finite element treatment of two-dimensioanl thermoelastic wear problems. Comput. Methods Appl. Mech. Eng. 177, 441–455 (1999)MATH

17.

Ireman, P., Klarbring, A., Strömberg, N.: Finite element algorithms for thermoelastic wear problems. Eur. J. Mech. A Solids 21, 423–440 (2002)MathSciNetMATH

18.

Strömberg, N.: An Eulerian approach for simulating frictional heating in disc-pad systems. Eur. J. Mech. A Solids 30, 673–683 (2011)MATH

19.

Bouzinov, P.A., Patunso, D., Bathe, K.-J.: A finite element procedure for the analysis of thermomechanical solids in contact. Comput. Struct. 75, 551–573 (2000)

20.

Hüeber, S., Wohlmut, B.I.: Thermo-mechanical contact problems on non-matching meshes. Comput. Methods Appl. Mech. Eng. 198, 1338–1350 (2009)MATH

21.

Ovcharenko, A., Yang, M., Chun, K., Talke, F.E.: Transient therm-mechanical contact of an impacting sphere on a moving flat. J. Tribol. 133, 031404 (2011)

22.

Seitz, A., Wall, W.A., Popp, A.: Nitsche’s method for finite deformation thermomechanical contact problems. Comput. Mech. 63, 1091–1110 (2019)MathSciNetMATH

23.

Chan, S.K., Tuba, I.S.: A finite element method for contact problems of solid bodies—1: theory and validation. Int. J. Mech. Sci. 13, 615–625 (1971)MATH

24.

Francavilla, A., Zienkiewicz, O.C.: A note on numerical computation of elastic contact problems. Int. J. Numer. Methods Eng. 19, 913–924 (1975)

25.

Jing, H.S., Liao, M.L.: An improved finite element scheme for elastic contact problems with friction. Comput. Struct. 35(5), 571–578 (1990)

26.

Aliabadi, F.M.H.: The Boundary Element Method: Applications in Solids and Structures, vol. 2. Wiley, Chichester (2002)MATH

27.

Man, K.W., Aliabadi, M.H.: BEM frictional contact analysis: modelling considerations. Eng. Anal. Bound. Elem. 11, 77–85 (1993)

28.

Rodríguez-Tembleque, L., Abascal, R.: A FEM-BEM fast methodology for 3D frictional contact problems. Comput. Struct. 88, 924–937 (2010)MATH

29.

Rodríguez-Tembleque, L., Abascal, R., Aliabadi, M.H.: A boundary element formulation for wear modeling on 3d contact and rolling-contact problems. Int. J. Solids Struct. 47, 2600–2612 (2010)MATH

30.

Rodríguez-Tembleque, L., Buroni, F.C., Sáez, A.: 3d bem for orthotropic frictional contact of piezoelectric bodies. Comput. Mech. 56, 491–502 (2015)MathSciNetMATH

31.

Alonso, P., Garrido García, J.A.: BEM applied to 2D thermoelastic contact problems including conduction and forced convection in interstitial zones. Eng. Anal. Bound. Elem. 15(3), 249–259 (1995)

32.

Espinosa, J.V., Mediavilla, A.F.: Boundary element method applied to three dimensional thermoelastic contact. Eng. Anal. Bound. Elem. 36(6), 928–933 (2012)MATH

33.

Vallepuga-Espinosa, J., Ubero-Martínez, I., Sánchez, L., Cifuentes-Rodríguez, J.: An incremental-iterative bem methodology to solve 3d thermoelastic contact problem including variable thermal resistance in the contact zone. Contin. Mech. Thermodyn. 31(5), 1543–1558 (2019)MathSciNet

34.

Ubero-Martinez, I., Vallepuga-Espinosa, J., Rodríguez-Tembleque, L., Cifuentes-Rodríguez, J.: The effect of conduction and convective conditions at interstitial regions on 3d thermoelastic contact problems. Eng. Anal. Bound. Elem. 107, 243–256 (2019)MathSciNetMATH

35.

Andersson, T.: The boundary element method applied to two-dimensional contact problems with friction. In: Brebbia, C.A. (ed.) Boundary Element Methods. Springer, Berlin (1981)MATH

36.

Garrido, J.A., Foces, A.: BEM applied to receding contact problems with friction. Math. Comput. Model. 133(3—-5), 143–153 (1991)MATH

37.

Garrido, J.A., Lorenzana, A.: Receding contact problem involving large displacements using the BEM. Eng. Anal. Boun. Elem. 21, 295–303 (1998)MATH

38.

París, F., Antonio, F., Garrido, J.A.: Application of boundary element method to solve three-dimensional elastic contact problems without friction. Comput. Struct. 43, 19–30 (1992)MATH

39.

Alonso, P.: Thermoelastic Contact Problem Using BEM. PhD thesis, Universidad de Valladolid, Spain (1995)

40.

Brebbia, C.A., Telles, J.C.F., Wrobel, L.C.: Boundary Element Techniques, pp. 177–236. Springer, Berlin (1984)MATH

Titel: Thermoelastic influence of convective and conduction interstitial conditions on the size of the contact zone in three-dimensional receding thermoelastic contact problem
verfasst von: J. Vallepuga-Espinosa
I. Ubero-Martínez
J. Cifuentes-Rodríguez
L. Rodríguez-Tembleque
Publikationsdatum: 20.05.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 7/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02694-8

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Weitere Artikel der Ausgabe 7/2020

Design of a neutral elastic inhomogeneity via thermal expansion

Non-uniform torsion of functionally graded anisotropic bar of an elliptical cross section

Surface waves in porous nonlocal thermoelastic orthotropic medium

Stress induced by diffusion and local chemical reaction in spherical composition-gradient electrodes

Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives

In-plane and out-of-plane tensile behaviour of single-layer graphene sheets: a new interatomic potential

Premium Partner

Marktübersichten