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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BPZ2-0015-0005

Czasopismo

International Journal of Applied Mechanics and Engineering

Tytuł artykułu

Poisson ratio effects and critical values in spherical and cylindrical hertzian contacts

Autorzy Green, I. 
Treść / Zawartość http://www.ijame.uz.zgora.pl/ http://www.degruyter.com/view/j/ijame
Warianty tytułu
Języki publikacji EN
Abstrakty
EN This work determines the location of the greatest elastic distress in spherical and cylindrical Hertzian contacts based upon the distortion energy and the maximum shear stress theories. The ratios between the maximum pressure, the von Mises stress, and the maximum shear stress are determined and fitted by empirical formulations for a wide range of the Poisson ratio, which represents material compressibility. Some similarities exist between cylindrical and spherical contacts, where for many metallic materials the maximum von Mises or shear stresses emerge beneath the surface. However, in cylindrical contact if any of the materials is excessively compressible then the maximum von Mises stress appears at the surface. The corresponding Poisson ratios are found. The critical forces that cause yielding onset, and the corresponding interferences and radius or half-width contact are derived along with the maximum stored strain energy. It is shown that the distressing stresses decrease as Poisson’s ratio increases (i.e., as the material approaches incompressibility). The results obtained herein are then used to calibrate FEA meshes intended for cases that do not have closed-form solutions.
Słowa kluczowe
PL teoria sprężystości   odkształcenie   naprężenie  
EN elasticity   deformation   tension  
Wydawca Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
Czasopismo International Journal of Applied Mechanics and Engineering
Rocznik 2005
Tom Vol. 10, no 3
Strony 451--462
Opis fizyczny Bibliogr. 9 poz., tab., wykr.
Twórcy
autor Green, I.
  • Georgia Institute of Technology G.W. Woodruff School of Mechanical Engineering Atlanta, GA 30332-0405, USA, igreen@mail.me.gatech.edu
Bibliografia
[1] Chang W.R, Etsion I. and Bogy D.B. (1987): An elastic-plastic model for the contact of rough surfaces. - ASME J. Tribol., vol.109, pp.257-263.
[2] Greenwood J.A. and Williamson J.B.P. (1966): Contact of nominally fiat surfaces. - Proc. R Soc. Lond. A, vol.295, pp.300-319.
[3] Hamrock B.J. (1994): Fundamentals of Machine Elements. - McGraw-Hill.
[4] Hertz H. (1882): Uber die beriihrung Jester elastische korper. - Journal Fuer die Reine und Angewandte Mathematik, vol.92, pp.156-171.
[5] Jackson RL., Green I. (2005): A finite element study of elasto-plastic hemispherical contact against a rigid fiat. - ASME Trans., J. of Tribology, vol.127, No.2, pp.343-354.
[6] Johnson K.L. (1985): Contact Mechanies. - Cambridge: Cambridge University Press.
[7] Shigley J.E. and Mischke C.R. (1989): Mechanical Engineering Design. - 5th Edition, New York: McGraw-Hill Inc.
[8] Tabor D. (1951): The Hardness of Materials. - Oxford: Clarendon Press.
[9] Williams J.A. (1994): Engineering Tribology. - Oxford: Oxford University Press.
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