Multiscale thermomechanical contact: Computational homogenization with isogeometric analysis

International Journal for Numerical Methods in Engineering

Volumn 97, Issue 8, 2014, Pages 582-607

  Temizer, I ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

Computational homogenization; Contact resistance; Finite deformations; Isogeometric analysis; Mortar method; Thermomechanical contact

Indexed keywords

COMPUTATIONAL HOMOGENIZATION; FINITE DEFORMATIONS; ISOGEOMETRIC ANALYSIS; MORTAR METHODS; THERMO-MECHANICAL;

ALGORITHMS; COMPUTATIONAL GEOMETRY; CONTACT RESISTANCE; HOMOGENIZATION METHOD; ITERATIVE METHODS; MORTAR;

COMPUTATIONAL EFFICIENCY;

EID: 84892630292     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.4604     Document Type: Article

References (52)

1. Persson BNJ. Sliding Friction: Physical Principles and Applications, 2nd edition, Springer: Berlin Heidelberg New York, 2000.
2. Szeri AZ. Fluid Film Lubrication, 2nd edition, Cambridge University Press: Cambridge, 2011.
3. Madhusudana CV. Thermal Contact Conductance, Springer: New York, 1996.
4. Available from: http://www.electronics-cooling.com/ accessed on 1 September 2012.
5. Prasher R. Thermal interface materials: historical perspective, status and future directions. Proceedings of the IEEE 2006; 94(8):1571-1586.
6. Baek SS, Fearing RS. Reducing contact resistance using compliant nickel nanowire arrays. IEEE Transactions on Components and Packaging Technologies 2008; 31:859-868.
7. Barisik M, Beskok A. Boundary treatment effects on molecular dynamics simulations of interface thermal resistance. Journal of Computational Physics 2012; 231:7881-7892.
8. Xiang H, Jiang P-X, Liu Q-X. Non-equilibrium molecular dynamics study of nanoscale thermal contact resistance. Molecular Simulation 2010; 34:679-687.
9. Persson BNJ, Lorenz B, Volokitin AI. Heat transfer between elastic solids with randomly rough surfaces. European Physical Journal E: Soft Matter 2010; 31:3-24.
10. Prasher RS, Phelan PE. Microscopic and macroscopic thermal contact resistances of pressed mechanical contacts. Journal of Applied Physics 2006; 100:063538.
11. Bahrami M, Culham JR, Yovanovich MM, Schneider GE. Review of thermal joint resistance models for nonconforming rough surfaces. Applied Mechanics Reviews 2006; 59:1-12.
12. Bahrami M, Yovanovich MM, Marotta EE. Thermal joint resistance of polymer-metal rough interfaces. Journal of Electronic Packaging 2006; 128:23-29.
13. Kim I-C, Marotta EE, Fletcher LS. Thermal joint conductance of low-density polyethylene and polyester polymeric films: experimental. Journal of Thermophysics and Heat Transfer 2006; 20:398-407.
14. Paggi M, Barber JR. Contact conductance of rough surfaces composed of modified RMD patches. International Journal of Heat and Mass Transfer 2011; 54:4664-4672.
15. Savija I, Culham JR, Yovanovich MM. Effective thermophysical properties of thermal interface materials: part I-definitions and models. Proceedings of InterPACK2003: International Electronic Packaging Technical Conference and Exhibition, Maui, Hawaii, USA, July 6-11, 2003; 35088.
16. Savija I, Culham JR, Yovanovich MM. Effective thermophysical properties of thermal interface materials: part II-experiments and data. Proceedings of InterPACK2003: International Electronic Packaging Technical Conference and Exhibition, Maui, Hawaii, USA, July 6-11, 2003; 35264.
17. Temizer İ. Thermomechanical contact homogenization with random rough surfaces and microscopic contact resistance. Tribology International 2011; 44:114-124.
18. Sadowski P, Stupkiewicz S. A model of thermal contact conductance at high real contact area fractions. Wear 2010; 268:77-85.
19. Salti B, Laraqi N. 3-D numerical modeling of heat transfer between two sliding bodies: temperature and thermal contact resistance. International Journal of Heat and Mass Transfer 1999; 42:2363-2374.
20. Thompson MK. A multi-scale iterative approach for finite element modeling of thermal contact resistance. Ph.D. Thesis, Massachusetts Institute of Technology, Boston, Massachusetts (USA), 2007.
21. Temizer İ, Wriggers P. Thermal contact conductance characterization via computational contact homogenization: a finite deformation theory framework. International Journal for Numerical Methods in Engineering 2010; 83:27-58.
22. Barber JR. Indentation of a semi-infinite elastic solid by a hot sphere. International Journal of Engineering Science 1973; 15:813-819.
23. Budt M, Temizer İ, Wriggers P. A computational homogenization framework for soft elastohydrodynamic lubrication. Computational Mechanics 2012; 49:749-767.
24. Temizer İ. On the asymptotic expansion treatment of two-scale finite thermoelasticity. International Journal of Engineering Science 2012; 53:74-84.
25. Hughes TJR, Cottrell JA, Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering 2005; 194:4135-4195.
26. Hüeber S, Mair M, Wohlmuth BI. A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Applied Numerical Mathematics 2005; 54:555-576.
27. Puso MA, Laursen TA, Solberg J. A segment-to-segment mortar contact method for quadratic elements and large deformations. Computer Methods in Applied Mechanics and Engineering 2008; 197:555-566.
28. De Lorenzis L, Wriggers P, Zavarise G. A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method. Computational Mechanics 2012; 49:1-20.
29. Hesch C, Betsch P. Isogeometric analysis and domain decomposition methods. Computer Methods in Applied Mechanics and Engineering 2012; 213-216:104-112.
30. Kim J-Y, Youn S-K. Isogeometric contact analysis using mortar method. International Journal for Numerical Methods in Engineering 2012; 89:1559-1581.
31. Lu J. Isogeometric contact analysis: geometric basis and formulation of frictionless contact. Computer Methods in Applied Mechanics and Engineering 2011; 200:726-741.
32. Temizer İ. A mixed formulation of mortar-based frictionless contact. Computer Methods in Applied Mechanics and Engineering 2012; 223-224:173-185.
33. Temizer İ, Wriggers P, Hughes TJR. Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Computer Methods in Applied Mechanics and Engineering 2012; 209-212:115-128.
34. Wohlmuth B. Variationally consistent discretization schemes and numerical algorithms for contact problems. Acta Numerica 2011; 20:569-734.
35. Puso MA, Laursen TA. A mortar segment-to-segment contact method for large deformations. Computer Methods in Applied Mechanics and Engineering 2004; 193:601-629.
36. Puso MA, Laursen TA. A mortar segment-to-segment frictional contact method for large deformations. Computer Methods in Applied Mechanics and Engineering 2004; 193:4891-4913.
37. Hesch C, Betsch P. Energy-momentum consistent algorithms for dynamic thermomechanical problems-application to mortar domain decomposition problems. International Journal for Numerical Methods in Engineering 2011; 86:1277-1302.
38. Hüeber S, Wohlmuth BI. Thermo-mechanical contact problems on non-matching meshes. Computer Methods in Applied Mechanics and Engineering 2009; 198:1338-1350.
39. Laursen TA, Puso MA, Sanders J. Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations. Computer Methods in Applied Mechanics and Engineering 2012; 205-208:3-15.
40. Laursen TA. Computational Contact and Impact Mechanics, 1st edition, Springer: Berlin Heidelberg New York, 2003. (corr. 2nd printing).
41. Wriggers P. Computational Contact Mechanics, 2nd edition, Springer: Berlin Heidelberg New York, 2006.
42. Agelet deSaracibar CA. Numerical analysis of coupled thermomechanical frictional contact problems. Computational model and applications. Archives of Computational Methods in Engineering 1999; 5:243-301.
43. Strömberg N, Johansson L, Klarbring A. Derivation and analysis of a generalized standard model for contact, friction and wear. International Journal for Solids and Structures 1996; 33:1817-1836.
44. Zavarise G, Wriggers P, Stein E, Schrefler BA. Real contact mechanisms and finite element formulation-a coupled thermomechanical approach. International Journal for Numerical Methods in Engineering 1992; 35:767-785.
45. Alart P, Curnier A. A mixed formulation for frictional contact problems prone to Newton like solution methods. Computer Methods in Applied Mechanics and Engineering 1991; 92:353-375.
46. Gitterle M, Popp A, Gee MW, Wall WA. Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization. International Journal for Numerical Methods in Engineering 2010; 84:543-571.
47. Comninou M, Dundurs J, Barber JR. Planar Hertz contact with heat conduction. Journal of Applied Mechanics 1981; 48:549-554.
48. Comninou M, Barber JR. The thermoelastic Hertz problem with pressure dependent contact resistance. International Journal of Mechanical Sciences 1984; 26:549-554.
49. Konyukhov A, Schweizerhof K. Incorporation of contact for high-order finite elements in covariant form. Computer Methods in Applied Mechanics and Engineering 2009; 198:1213-1223.
50. Chadwick P. Thermo-mechanics of rubberlike materials. Philosophical Transactions of the Royal Society of London, Series A 1973; 276:371-403.
51. Chadwick P, Creasy CFM. Modified entropic elasticity of rubberlike materials. Journal of the Mechanics and Physics of Solids 1984; 32(5):337-357.
52. Papadopoulos P, Taylor RL. A mixed formulation for the finite element solution of contact problems. Computer Methods in Applied Mechanics and Engineering 1992; 94:373-389.