Structural Engineering and Mechanics

  • 제23권4호
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  • Pages.431-447
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  • 2006
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

An incremental convex programming model of the elastic frictional contact problems

  • Mohamed, S.A. (Faculty of Engineering, Zagazig University) ;
  • Helal, M.M. (Faculty of Engineering, Zagazig University) ;
  • Mahmoud, F.F. (Faculty of Engineering, Zagazig University)
  • 투고 : 2005.02.24
  • 심사 : 2006.03.20
  • 발행 : 2006.07.10
⟨ 이전 논문 다음 논문 ⟩

초록

A new incremental finite element model is developed to simulate the frictional contact of elastic bodies. The incremental convex programming method is exploited, in the framework of finite element approach, to recast the variational inequality principle of contact problem in a discretized form. The non-classical friction model of Oden and Pires is adopted, however, the friction effect is represented by an equivalent non-linear stiffness rather than additional constraints. Different parametric studies are worked out to address the versatility of the proposed model.

키워드

참고문헌

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  2. Bowden,F.P. and Tabor, D. (1950), The Friction and Lubrication of Solids, Part I Clarendon Press, Oxford
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  7. Helal M.M. (2000), ' A variational inequality model for frictional contact problems ', Ph.D. Thesis, Zagazig University
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  9. Klarbring, A. (1992), ' Mathematical programming and augmented Lagrangian methods for frictional contact problems' , in Proc. Contact Mechanics International Symposium, A. Cumier, ed., PPUR, Lausanne,Switzerland
  10. Mahmoud, F.F, Ali-Eldin, S.S., Hassan, M.M. and Emam, SA (1998), 'An incremental mathematical programming model for solving multi-phase frictional contact problems ', Comput. Struct., 68(6), 567-581 https://doi.org/10.1016/S0045-7949(98)00093-5
  11. Mahmoud, F.F, Alsaffar, A.K. and Hassan, K.A. (1993), ' An adaptive incremental approach for the solution of convex programming models ', Mathematics and Computers in Simulation, 35, 501-508 https://doi.org/10.1016/0378-4754(93)90068-6
  12. aden, J.T. and Pires, E.B. (1983), ' Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity ', J. Appl. Mech., 50, 67-76 https://doi.org/10.1115/1.3167019
  13. Refaat, M.H. and Meguid, S.A. (1996),' A novel finite element approach to frictional contact problems ', J. Numer. Meth. Eng., 39, 3889-3902 https://doi.org/10.1002/(SICI)1097-0207(19961130)39:22<3889::AID-NME29>3.0.CO;2-6
  14. Rocca, R. and Cocu, M. (2001),' Existence and approximation of a solution to quasistatic signorini problem with local friction ', J. Eng. Sci., 39, 1233-1255 https://doi.org/10.1016/S0020-7225(00)00089-6
  15. Zboinski, G. and Ostachowicz, W. (1997), ' A general FE computer program for 3D incremental analysis of frictional contact problems of elastoplasticity ', J. Finite Elements in Analysis and Design, 27, 307-322 https://doi.org/10.1016/S0168-874X(97)81965-8

피인용 문헌

  1. Modeling of Quasistatic Thermoviscoelastic Frictional Contact Problems vol.134, pp.1, 2012, https://doi.org/10.1115/1.4005522
  2. A Numerical Solution for Quasistatic Viscoelastic Frictional Contact Problems vol.130, pp.1, 2008, https://doi.org/10.1115/1.2806202
  3. Effect of the Material Parameters on Layered Viscoelastic Frictional Contact Systems vol.2010, 2010, https://doi.org/10.1155/2010/258307
  4. ADAPTIVE INCREMENTAL FINITE ELEMENT PROCEDURE FOR SOLVING ELASTOPLASTIC FRICTIONAL CONTACT PROBLEMS SUBJECTED TO NORMAL AND TANGENTIAL LOADS vol.06, pp.03, 2014, https://doi.org/10.1142/S1758825114500318
  5. The Influence of the Elastoplastic Behavior and the Load Pattern on the Tribological Properties of Two-Dimensional Frictional Contact Problems vol.136, pp.3, 2014, https://doi.org/10.1115/1.4027240
  6. Using multiple point constraints in finite element analysis of two dimensional contact problems vol.36, pp.1, 2010, https://doi.org/10.12989/sem.2010.36.1.095
  7. Numerical analysis of the receding contact problem of two bonded layers resting on an elastic half plane vol.72, pp.6, 2006, https://doi.org/10.12989/sem.2019.72.6.775
  8. Investigation of continuous and discontinuous contact cases in the contact mechanics of graded materials using analytical method and FEM vol.27, pp.3, 2006, https://doi.org/10.12989/cac.2021.27.3.199
  9. Frictionless contact mechanics of an orthotropic coating/isotropic substrate system vol.28, pp.2, 2021, https://doi.org/10.12989/cac.2021.28.2.209