Numerical results show the effect of the orthotropic material parameters, coefficient of friction on the contact stress distribution and load vs. contact length behavior
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:A n analytical solution to the frictional sliding contact problem for homogeneous orthotropic materials indented by a semi-circular punch is developed.The principal axes of orthotropy are assumed to be parallel and perpendicular to the contact.
📊
Temel Bulgular & Veri:Coulomb friction assumption is used to model the friction between the punch and the orthotropic medium.
💡
Sonuç & Katkı:Numerical results show the effect of the orthotropic material parameters, coefficient of friction on the contact stress distribution and load vs. contact length behavior
A n analytical solution to the frictional sliding contact problem for homogeneous orthotropic materials indented by a semi-circular punch is developed.The principal axes of orthotropy are assumed to be parallel and perpendicular to the contact. Coulomb friction assumption is used to model the friction between the punch and the orthotropic medium. The mixed boundary value problem is reduced into a Fredholm integral equation of the second kind by using Fourier transform technique. The singular integral equation is solved analytically using Jacobi Polynomials for the unknown surface contact stresses. Numerical results show the effect of the orthotropic material parameters, coefficient of friction on the contact stress distribution and load vs. contact length behavior
KUCUKSUCU, A., GULER, M. A. (2022). Analytical Solution of the Frictional Contact Problem of a Semi-circular Punch Sliding Over a Homogeneous Orthotropic Half-plane. Hittite Journal of Science and Engineering, Cilt: 3 - Sayı: 2, 61–72. https://ajindex.com/articles/538084
Baroumes L, Bouillon E, Christin F. An improved long life duration ceramic matrix composite material for jet aircraft engine applications. 24th International Congress of the Aeronautical Sciences (2004)
Esfandiar H, Daneshmand S, Mondali M. Analysis of elastic-plastic behavior of fiber metal laminates subjected to in-plane tensile loading. Int. J. Advanced Design and Manufacturing Technology 5(1), (2011)
Itou S. Thermal stress intensity factors of an infinite orthotropic layer with a crack. International Journal of Fracture 103(3), (2000) 279-291
Thompson W. (Lord Kelvin), Note on the integration of the equations of equilibrium of an elastic solid. Cambridge and Dublin Math. J 3, (1848) 87–89
Green G. An essay on the application of mathematical analysis to the theories of electricity and magnetism, Nottingham, England, T. Wheelhouse, (1828) 10-12
Lamé G. Leçons sur la théorie mathématique de l’élasticité des corps solides, (1852)
Boussinesq J. Application des potentiels a l’e´tude de l’e´quilibre et du mouvement des solides e´lastiques, Gauthier-Villars, (1885)
Hertz H. Vber die beruhrung fester elastischer korper (On the contact of elastic solids). J. Reine Angew. Math. 92, (1882) 156–171 (in German)
Cerruti V. A Treatise on the mathematical theory of elasticity in: A.E.H. Love (ed.), Fourth edition, Dover Publications, New York, (1882) 16. 10 Southwell RV. On the concentration of stress in the neighborhood of a small spherical flow. Phil. Mag., Ser. 7,1, (1926) 71
Mindlin RD. Force at a point in the interior of a semi-infinite half space, Journal of Applied Physics 79, (1936) 195–202
Barber JR, Ciavarella M. Contact mechanics in research trends in solid mechanics, (ed. G. Dvorak), International Journal of Solids and Structures, 37, (2000) 29-43
Muskhelishvili NL. Singular integral equations, P. Noordhoff Ltd., Groningen, The Netherlands, 1953. (based on the second Russian edition published in 1946)
England AH. Complex variable methods in elasticity, Wiley Interscience, London, 1971
Johnson KL. Contact Mechanics, Cambridge University Press, 1987
Erdogan F. Mixed boundary value problems in mechanics. in: Nemat-Nasser, S. (ed.), Mechanics Today 4, Pergamon Press, (1978) 1–86
Erdogan F. Approximate solutions of systems of singular integral equations, SIAM J. Appl. Math. 17 (1969) 1041–59
Stroh A. Dislocations and cracks in anisotropic elasticity, Philos. Mag. 3(30) (1958) 625–646. 19.