TAILIEUCHUNG - Computational Plasticity- P4

Computational Plasticity- P4: Despite the apparent activity in the field, the ever increasing rate of development of new engineering materials required to meet advanced technological needs poses fresh challenges in the field of constitutive modelling. | 84 Tod A. Laursen and Bin Yang Fig. 12. Finite element mesh of the three dimensional lubricated contact problem with two different perspectives 2 V are projections of slave and master surface velocity vectors onto the slave surface and p is the fluid pressure the primary unknown of Equation 39 . Operators V indicate divergence and gradient operators in reduced surface coordinates. The fluid viscosity may be dependent on the fluid pressure both constant viscosity cases and exponential pressure dependence of viscosity have been tested in our early work. We have implemented a mortar-based monolithic strategy to solve the coupled Reynolds equations and global equilibrium equations with the solid phase displacement coupling to the fluid equations through the film thickness h and the fluid equations coupling to the solid mechanics equations through generation of the pressure field p and the viscous shear stresses. Although the full numerical formulation is too involved to recount in detail here we present a simple three dimensional example to demonstrate the type of simulation for which the technique has been tested. The problem is depicted in Fig. 12 where the relative rotation of two cylinders with a lubricant-filled interface is considered. A quasi-static rotation is applied to the inner surface of the inside cylinder corresponding to an angular speed of w 500. Figure 12 presents the finite element mesh for the two cylinders. The inside surface of the outer cylinder is chosen as the slave surface and the outside surface of the inner cylinder is chosen as the master surface. Only one load step is applied for this problem. The computed pressure distribution in the fluid film is plotted in Fig. 13. 5 Conclusion This paper has discussed the mortar method as an underlying spatial discretization technique for large deformation contact problems and has empha- Surface-to-Surface Discretization Strategies for Interface Mechanics 85 Fig. 13. Computed pressure distribution for .

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