Abstract
This paper is concerned with the rolling contact problems including heat flow across a contact surface. The nonhomogeneous two-layer material model of the obstacle is assumed, i.e., mechanical and thermal properties of the obstacle coating material near its surface are dependent on the spatial variable. The elastic-plastic graded model of the coating layer rather than elastic one is assumed. A variational formulation of this dynamic contact phenomenon is derived in the framework of general thermo-elastic-viscoplastic material models. The displacements and temperatures of the bodies in contact are governed by the coupled system consisting of dynamic variational inequality and parabolic equation. The existence of solutions to this coupled boundary value problem is shown using monotonicity and fixed-point arguments. The rolling contact problem is discretized using the finite element method and numerically solved using the semi-smooth Newton method. Numerical results, including the distribution of contact stresses and temperature, are provided and discussed.
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Myśliński, A. (2017). Elastic-Plastic Rolling Contact Problems with Graded Materials and Heat Exchange. In: dell'Isola, F., Sofonea, M., Steigmann, D. (eds) Mathematical Modelling in Solid Mechanics. Advanced Structured Materials, vol 69. Springer, Singapore. https://doi.org/10.1007/978-981-10-3764-1_10
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