A mortar-finite element approach to lubricated contact problems

Computer Methods in Applied Mechanics and Engineering - Tập 198 - Trang 3656-3669 - 2009
Bin Yang1, Tod A. Laursen1
1Computational Mechanics Laboratory, Pratt School of Engineering, Duke University, Durham, NC 27708-0287, United States

Tài liệu tham khảo

Barus, 1893, Isothermals isopiestics and isometrics relative to viscosity, Am. J. Sci., 45, 87, 10.2475/ajs.s3-45.266.87 Baumann, 1999, A discontinuous hp finite element method for convection–diffusion problems, Comput. Methods Appl. Mech. Engrg., 175, 311, 10.1016/S0045-7825(98)00359-4 D.G. Christopherson, An analysis of metal forming processes using large deformation elastic–plastic formulations, in: Proceedings of the Institution of Mechanical Engineers, vol. 146, 1941, pp. 126–135. Cryer, 1971, The method of christopherson for solving free boundary problems for infinite journal bearings by means of finite differences, Math. Comput., 25, 435, 10.1090/S0025-5718-1971-0298961-7 Durany, 2002, Numerical simulation of a lubricated hertzian contact problem under imposed load, Finite Elem. Anal. Des., 38, 645, 10.1016/S0168-874X(01)00097-X Fischer, 2005, Frictionless 2d contact formulations for finite deformations based on the mortar method, Comput. Mech., 36, 226, 10.1007/s00466-005-0660-y Hamrock, 1991 Hughes, 1999, A novel method for integrating first- and second-order differential equations in elastohydrodynamic lubrication for the solution of smooth isothermal line contact problems, Int. J. Numer. Methods Engrg., 44, 1099, 10.1002/(SICI)1097-0207(19990320)44:8<1099::AID-NME546>3.0.CO;2-7 Hughes, 2000, A comparison of discontinuous and continuous Galerkin methods based on error estimates conservation robustness and efficiency, 135 Houpert, 1986, Fast approach for calculating film thicknesses and pressures in elastohydrodynamically lubricated contacts at high loads, ASME J. Tribol., 108, 411, 10.1115/1.3261220 Hu, 1993, an ale hydrodynamic lubrication finite element method with application to strip rolling, Int. J. Numer. Methods Engrg., 36, 855, 10.1002/nme.1620360509 Hamrock, 1988, Pressure spikes in elastohydrodynamically lubricated conjunctions, ASME J. Tribol., 110, 279, 10.1115/1.3261599 Johnson, 1987 Patir, 1978, An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication, J. Lubrication Technol., 100, 12, 10.1115/1.3453103 Puso, 2004, A mortar segment-to-segment contact method for large deformation solid mechanics, Comput. Methods Appl. Mech. Engrg., 193, 601, 10.1016/j.cma.2003.10.010 Puso, 2004, A mortar segment-to-segment frictional contact method for large deformations, Comput. Methods Appl. Mech. Engrg., 193, 4891, 10.1016/j.cma.2004.06.001 Puso, 2004, A 3d mortar method for solid mechanics, Int. J. Numer. Methods Engrg., 59, 315, 10.1002/nme.865 Rohde, 1975, A variational formulation for a class of free boundary problems arising in hydrodynamic lubrication, Int. J. Engrg. Sci., 13, 841, 10.1016/0020-7225(75)90084-1 Wilson, 1979, Friction and lubrication in bulk metal forming process, J. Appl. Met. Work, 1, 7, 10.1007/BF02833955 Wohlmuth, 2001 Wu, 1986, A penalty formulation and numerical approximation of the Reynolds–Hertz problem of elastohydrodynamic lubrication, Int. J. Engrg. Sci., 24, 1001, 10.1016/0020-7225(86)90032-7 Yang, 2005, Two dimensional mortar contact methods for large deformation frictional sliding, Int. J. Numer. Methods Engrg., 62, 1183, 10.1002/nme.1222