Sage Journals: Discover world-class research

Abstract

A theoretical and computational framework for the analysis of thermomechanically coupled, frictional, stationary (steady-state) rolling contact based on an Arbitrary Lagrangian–Eulerian (ALE) kinematical description is presented. The finite element method is employed in a numerical implementation featuring two-dimensional cylinder–plate rolling contact, with a contact formulation incorporating mechanical and thermal frictional interaction. The ALE formulation is noted to allow for linearization of the governing equations, localized mesh refinement, a time-independent description of stationary dynamics, velocity-independent contact interface modelling and so on. Numerical simulations show the model to be able to capture, for example, stick/slip behaviour and a range of thermal phenomena, including the effect of convective cooling of the cylinder due to the contact with the plate.

Keywords

Thermomechanical analysis arbitrary Lagrangian–Eulerian rolling contact friction partial slip finite element method

Get full access to this article

View all access options for this article.

References

Timoshenko

Goodier

. Theory of elasticity. Engineering societies monographs, New York, USA: McGraw-Hill, 1951. .

Johnson

. Contact mechanics, Cambridge, UK: Cambridge University Press, 1987. .

Kalker

. Wheel–rail rolling contact theory. Wear 1991; 144: 243–261.

Johansson

Pålsson

Ekh

. Simulation of wheel–rail contact and damage in switches & crossings. Wear 2011; 271: 472–481.

Enblom

Berg

. Proposed procedure and trial simulation of rail profile evolution due to uniform wear. Proc IMechE, Part F: J Rail and Rapid Transit 2008; 222: 15–25.

Tunna

Sinclair

Perez

. A review of wheel wear and rolling contact fatigue. Proc IMechE, Part F: J Rail and Rapid Transit 2007; 221: 271–289.

Draganis

Larsson

Ekberg

. Numerical evaluation of the transient response due to non-smooth rolling contact using an arbitrary Lagrangian–Eulerian formulation. Proc IMechE, Part J: J Engineering Tribology 2012; 226: 36–45.

Draganis

Larsson

Ekberg

. Finite element analysis of transient thermomechanical rolling contact using an efficient arbitrary Lagrangian–Eulerian description. Comput Mech 2014; 54: 389–405.

Nackenhorst

. The ALE-formulation of bodies in rolling contact: Theoretical foundations and finite element approach. Computer Meth Appl Mech Eng 2004; 193: 4299–4322.

10.

Donéa

Huerta

. Finite element methods for flow problems, Sussex, UK: Wiley, 2003. .

11.

Suwannachit

Nackenhorst

. A novel approach for thermomechanical analysis of stationary rolling tires within an ALE-kinematic framework. Tire Sci Technol 2013; 41: 174–195.

12.

Schweizer

Wauer

. Atomistic explanation of the Gough-Joule-effect. Eur Phys J B – Condens Matt Complex Syst 2001; 23: 383–390.

13.

Ottosen

Ristinmaa

. The mechanics of constitutive modeling, Oxford, UK: Elsevier, 2005. .

14.

Wriggers

. Computational contact mechanics, Berlin, Germany: Springer, 2006. .

15.

Rivara

. Algorithms for refining triangular grids suitable for adaptive and multigrid techniques. Int J Num Meth Eng 1984; 20: 745–756.

16.

Codina

Onate

Cervera

. The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements. Comput Meth Appl Mech Eng 1992; 94: 239–262.

17.

Brezzi

Bristeau

M-O

Franca

. A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Comput Meth Appl Mech Eng 1992; 96: 117–129.

18.

Baiocchi

Brezzi

Franca

. Virtual bubbles and Galerkin-least-squares type methods (ga.l.s.). Comp Meth Appl Mech Eng 1993; 105: 125–141.

19.

Brezzi

Marini

Russo

. Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Comp Meth Appl Mech Eng 1998; 166: 51–63.

20.

Carter

. On the action of a locomotive driving wheel. Proc R Soc Lon Ser A 1926; 112: 151–157.

21.

Vernersson

Lundén

. Temperatures at railway tread braking. Part 3: wheel and block temperatures and the influence of rail chill. Proc IMechE, Part F: J Rail and Rapid Transit 2007; 221: 443–454.

22.

Archard

. Contact and rubbing of flat surfaces. J Appl Phys 1953; 24: 981–988.

23.

Ziefle

Nackenhorst

. Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact. Computat Mech 2008; 42: 337–356.

Finite element modelling of frictional thermomechanical rolling/sliding contact using an arbitrary Lagrangian–Eulerian formulation

Abstract

Keywords

Get full access to this article

References