Influences of the moving velocity and material property on frictionless contact problem of orthotropic materials indented by a moving punch

• Autorzy: Zhou Y. T. , Lee K. Y. , Jang Y. H.
• Języki publikacji: EN

Abstrakty

EN

In analyzing the contact behavior of a material indented by a moving punch, of much importance are the contributions of the moving velocity and material property. The present paper develops a smoothly moving contact model for orthotropic materials indented by a rigid punch. Based on fundamental solutions of each eigenvalue case, the mixed boundary-value problem is reduced to a Cauchy type singular integral equation by applying the Galilean transformation and Fourier transform. Particularly, the exact solution of the obtained singular integral equation is presented, and closed-form expressions of the physical quantities are given for a flat punch and a cylindrical punch. Figures are plotted to show the influences of the moving velocity, material properties and other loadings on the contact behaviors and to reveal the surface damage mechanism, which may provide useful guidelines for material’s designing and optimization.

Słowa kluczowe

EN

orthotropic materials; moving velocity; material property; real fundamental solutions; exact solutions

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2013
• Tom: Vol. 65, nr 3
• Strony: 195--217
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Zhou Y. T.

• School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China
• School of Mechanical Engineering, Yonsei University, Seoul 120-749, Republic of Korea

autor

Lee K. Y.

• School of Mechanical Engineering, Yonsei University, Seoul 120-749, Republic of Korea
• State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China

autor

Jang Y. H.

• School of Mechanical Engineering, Yonsei University, Seoul 120-749, Republic of Korea

Bibliografia

• 1. H. Hertz, On the contact of elastic solids, Journal Fur Die Reine Und Angewandte Mathematik, 92, 156 171, 1882.
• 2. G. M. L. Gladwell, Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhof, The Netherlands, 1980.
• 3. K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1985.
• 4. D. A. Hills, D. Nowell, A. Sackfield, Mechanics of Elastic Contacts, Butterworth-Heinemann, Oxford, 1993.
• 5. J. W. Nam, J. Hawong, S. J. Han, S. H. Park, Contact stress of 0-ring under uniform squeeze rate by photoelastic experimental hybrid method, Journal of Mechanical Science and Technology, 22, 2337-2349, 2008.
• 6. T. F. Conry, A. Seireg, A mathematical programming method for design of elastic Dobies m contact, ASME Journal of Applied Mechanics, 93, 387-392, 1971.
• 7. K. P. Singh, B. Paul, Numerical solution of non-Hertzian elastic contact, ASME Journal of Applied Mechanics, 41, 484-490, 1974.
• 8. B. Paul, J. Hashemi, Contact pressures on closely conforming elastic bodies, ASME Journal of Applied Mechanics, 48, 543-548, 1981.
• 9. K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, 1982.
• 10. T. J. Hughes, The Finite Element Method-Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, 1987.
• 11. M. Ppimsarn, K. Kazerounian, Pseudo-interference stiffness estimation, a highly efficient numerical method for force evaluation in contact problems, Engineering with Computers, 19, 85-91, 2003.
• 12. S. Krenk, On the elastic constants of plane orthotropic elasticity, Journal of Composite Materials, 13, 108-116, 1979.
• 13. N. J. Pagano, Exact solutions for rectangular bidirectional composites and Sandwich plates, Journal of Composite Materials, 4, 20-34, 1970.
• 14. T. M. Tan, C. T. Sun, Use of statical indentation laws in the impact analysis of laminatem composite plates, ASME Journal of Applied Mechanics, 5, 6-12, 1985.
• 15. E. Wu, C. S. Yen, The contact behavior between laminated composite plates and Brigid spheres, ASME Journal of Applied Mechanics, 61, 60-66, 1994.
• 16. V. A.Sveklo, Boussinsq type problems for the anisotropic half-space, ASME Journal of Applied Mechanics, 28, 1099-1105, 1964.
• 17. V. A. Sveklo, The action of a stamp on an elastic anisotropic half-space, Journal of Applied Mathematics and Mechanics, 34, 165-171, 1970.
• 18. V. A. Sveklo, Hertz problems on compression of anisotropic bodies, Journal of Applied Mathematics and Mechanics, 38, 1023 1027, 1974.
• 19. A. A. Shi, Y. Lin, T. C. Ovaert, Indentation of an orthotropic half-space by a Brigid ellipsoidal indenter, Journal of Tribology, 125, 223 231, 2003.
• 20. J. R. Willis, Hertzian contact of anisotropic bodies, Journal of the Mechanics and Physics of Solids, 14, 163 176, 1966.
• 21. S. R. Swanson, Hertzian contact of orthotropic plates, International Journal of Solids and Structures, 41, 1945-1959, 2004.
• 22. J. de, B. Patra, Dynamic punch problems in an orthotropic elastic half-space, Indian Journal of Pure and Applied Mathematics, 25, 767-776, 1994.
• 23. T. Iamanidze, M. Losaberidze, On dynamic effect caused by moving punches on elastic half-plane with the account of friction force, Bulletin of the Georgian National Academy of Sciences, 4, 39 43, 2010.
• 24. E. Lira-Vergara, C. Rubio-Gonzalez, Dynamic stress intensity factors around two parallel cracks in an infinite-orthotropic plane subjected to incident harmonic stress waves, International Journal of Fracture, 135, 285-309, 200