A finite element procedure for the analysis of thermo-mechanical solids in contact

Pantuso, D.; Bathe, Klaus‐Jürgen; Bouzinov, Pavel A.

doi:10.1016/s0045-7949(99)00212-6

Cited by 80 publications

(48 citation statements)

References 28 publications

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“…In the results, the kinematic equations are presented, as well as the corresponding relations that close the system of equations. The numerical solution of one of the nonlinear problems of thermophysics is presented in [3]. Here we give a proof of the existence and uniqueness of the solution of the problem under consideration, the corresponding iterative scheme is applied, which makes it possible to apply the results obtained in practice.…”

Section: Literature Reviewmentioning

confidence: 99%

On the Method of Construction of the Dependence of the Heat Extension Coefficient on Temperature in Heat-resistant Alloys

Ахметов¹,

Kudaykulov²

2017

Engineering Journal

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Section: Literature Reviewmentioning

confidence: 99%

On the Method of Construction of the Dependence of the Heat Extension Coefficient on Temperature in Heat-resistant Alloys

Ахметов¹,

Kudaykulov²

2017

Engineering Journal

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“…The thermal boundary conditions, such as convection, radiation and heat conduction by thermal contact, are important aspects to be considered in numerical models of thermomechanical problems [24,25]. Nevertheless, they are not addressed in this study, since they can be neglected in the comparison of staggered algorithms performance.…”

Section: Thermal Modelmentioning

confidence: 99%

Automatic correction of the time step in implicit simulations of thermomechanical problems

et al. 2016

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Abstract. The accurate numerical modelling of thermomechanical systems is important in several industrial applications. A new staggered coupling strategy is proposed to deal with thermo-elasto-plastic problems involving large deformations and rotations, which is combined with an automatic time-step control technique. The proposed strategy is based on the isothermal split approach. It differs from the classical scheme since, in each increment, there are two phases of interchange of information, instead of only one. In each increment, the solution procedure is divided in a prediction phase and a corrector phase, and the interchange of information is performed on both. The proposed strategy was implemented in the in-house quasi-static finite element code DD3IMP. Its performance is analysed and compared with the classical strategy and the iterative one, which are commonly employed for solving thermomechanical problems. The results indicate that the propose strategy contributes for improving the accuracy of the numerical solution, with a reasonable computational cost.

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“…[16], but it is not so easy to find papers on thermo-mechanical finite element analysis where Eulerian frameworks are used. Recently, one such paper was presented by Wauer and Schweizer [17].…”

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 99%

An Eulerian approach for simulating frictional heating in disc-pad systems

Strömberg

2011

European Journal of Mechanics - A/Solids

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Thermal stresses as a result from frictional heating must be considered when designing disc brakes, clutches or other rotating machine components with sliding contact conditions. The rotational symmetry of the disc in these kind of applications makes it possible to model these systems using an Eulerian approach instead of a Lagrangian framework. In this paper such an approach is developed and implemented. The disc is formulated in an Eulerian frame where the convective terms are defined by the angular velocity. By utilizing the Eulerian framework, a node-tonode formulation of the contact interface is obtained, producing most accurate frictional heat power solutions. The energy balance of the interface is postulated by introducing an interfacial temperature. Both frictional power and contact conductances are included in this energy balance. The contact problem is solved by a non-smooth Newton method. By adopting the augmented Lagrangian approach, this is done by rewriting Signorini's contact conditions to an equivalent semi-smooth equation. The heat transfer in the disc is discretized by a Petrov-Galerking approach, i.e. the numerical difficulties due to the non-symmetric convective matrix appearing in a pure Galerkin discretization is treated by following the streamline-upwind approach. In such 1 *Manuscript with Highlighted Changes Click here to view linked References M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPTmanner a stabilization is obtained by adding artificial conduction along the streamlines. For each time step the thermoelastic contact problem is first solved for the temperature field from the previous time step. Then, the heat transfer problem is solved for the corresponding frictional power. In such manner a temperature history is obtained sequentially via the trapezoidal rule. In particular the parameter is set such that both the Crank-Nicolson and the Galerkin methods are utilized. The method seems very promising. This is demonstrated by solving a two-dimensional benchmark as well as a real disc brake system in three dimension.

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A finite element procedure for the analysis of thermo-mechanical solids in contact

Cited by 80 publications

References 28 publications

On the Method of Construction of the Dependence of the Heat Extension Coefficient on Temperature in Heat-resistant Alloys

On the Method of Construction of the Dependence of the Heat Extension Coefficient on Temperature in Heat-resistant Alloys

Automatic correction of the time step in implicit simulations of thermomechanical problems

An Eulerian approach for simulating frictional heating in disc-pad systems

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