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Smooth elastic contact of cylinders by caustics: the contact length in the Brazilian disc test

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The smooth contact of two elastic cylinders compressed against each other along a common generatrix is studied analytically and experimentally. The main objective is the quantification of the length of the contact arc. For the analytic study, the complex potentials method is employed while experimentally the contact arc’s length is determined by extending the reflected caustics technique. A series of experiments are then carried out using the device suggested by the International Society for Rock Mechanics for the standardized implementation of the Brazilian test and the typical set-up of the reflected caustics method. The experimental results are compared to the analytically determined ones. The agreement is satisfactory especially for low load levels, ensuring validity of the linear elasticity assumption.
Rocznik
Strony
313--338
Opis fizyczny
Bibliogr. 44 poz., rys. kolor.
Twórcy
  • Laboratory for Testing and Materials Department of Mechanics School of Applied Mathematical and Physical Sciences National Technical University of Athens 5 Heroes of Polytechnion Avenue Theocaris Bid., Zografou Campus, 157 73 Athens, Greece
  • Laboratory for Testing and Materials Department of Mechanics School of Applied Mathematical and Physical Sciences National Technical University of Athens 5 Heroes of Polytechnion Avenue Theocaris Bid., Zografou Campus, 157 73 Athens, Greece
autor
  • Laboratory for Testing and Materials Department of Mechanics School of Applied Mathematical and Physical Sciences National Technical University of Athens 5 Heroes of Polytechnion Avenue Theocaris Bid., Zografou Campus, 157 73 Athens, Greece
Bibliografia
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  • 4. Ch.F. Markides, D.N. Pazis, S.K. Kourkoulis, Closed full-field solutions for stresses and displacements m the Brazilian disc under distributed radial load, Int. J. Rock Mech. Min. Sci., 47, 227-237, 2010.
  • 5. F. Lanaro, T. Sato, O. Stephensson, Microcrack modelling of Brazilian tensile tests with the boundary element method, Int. J. Rock Mech. Min. Sci., 46, 450-461, 2009.
  • 6. S.K. Kourkoulis, Ch.F. Markides, P.E. Chatzistergos, The standardized Brazilian disc test as a contact problem, Int. J. Rock Mech. Min. Sci., 57, 132-141, 2012.
  • 7. S.K. Kourkoulis, Ch.F. Markides, P.E. Chatzistergos, The Brazilian disc under parabolically varying load: Theoretical and experimental study of the displacement field, Int. J. Solids and Structures, 49, 959-972, 2012.
  • 8. P. Manogg, Anwendung der Schattenoptik żur Untersuchung des Zerreissvongangs von Platten, Dissertation, Freiburg, Germany, 1964.
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  • 10. P. Manogg, Investigation of the rupture of a plexiglas piąte by means ofan optical method involving hoigh speed filming of the shadows originating around holes drilled in the plate, Int. J. Fracture, 2, 604-613, 1966.
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  • 27. P. S. Theocaris, D. N. Pazis, Some further properties of caustics useful in mechanical applications, Applied Optics, 20, 4009-4018, 1981.
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  • 36. P. S. Theocaris, The load distribution in the generalized contact problem by caustics, in: Proceedings of the 3rdNational Congress on Theoretical and Applied Mechanics, Varna, Bułgaria, 13-16 September 1977, Vol. III, 105-143, 1978.
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  • 39. K. Raptis, G.A. Papadopoulos, T.N. Costopoulos, A.D. Tsolakis, Experimental study of load sharing in roller bearing contact by caustics and photoelasticity, American J. Engineering and Applied Sciences, 4, 294-300, 2011.
  • 40. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, The Netherlands, 1963.
  • 41. I. R. Wallhead, S. Güngör, L. Edwards, Optimization of the optical method of caustics for the determination of stress intensity factors, Opt. Laser Eng., 20, 109-133, 1994.
  • 42. D.N. Pazis, Z. Agioutantis, S.K. Kourkoulis, The optical method of reflected caustics applied for a plate with a central hole: critical points and limitations, Strain, 47, 6, 489-498, 2011.
  • 43. Ch.F. Markides, S.K. Kourkoulis, The stress field in a standardized Brazilian disc: the influence of the loading type acting on the actual contact length, Rock Mechanics and Rock Engineering, 45, 145-158, 2012.
  • 44. L. Diyuan, L. N.Y. Wong, The Brazilian disc test for rock mechanics applications: Review and new insights, Rock Mechanics and Rock Engineering, 46, 269-287, 2013.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b502bdd1-e559-4c0f-a9c9-2a6b94fee267
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