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Stress Hypotheses and material stresses in Hertzian contacts
Author(s) -
Broszeit E.,
Preussler Th.,
Wagner M.,
Zwirlein O.
Publication year - 1986
Publication title -
materialwissenschaft und werkstofftechnik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.285
H-Index - 38
eISSN - 1521-4052
pISSN - 0933-5137
DOI - 10.1002/mawe.19860170706
Subject(s) - shear stress , residual stress , stress (linguistics) , distortion (music) , contact mechanics , shear (geology) , mechanics , materials science , classical mechanics , structural engineering , composite material , physics , finite element method , engineering , amplifier , linguistics , philosophy , optoelectronics , cmos
Using idealised assumptions, the stress condition in the semi infinite body of the Hertzian contact region can be calculated for various geometries as a function of the surface pressure (normal force), the friction (tangential force at the surface) and the residual stresses in the material. Equivalent stresses can be formed from the coordinate stresses using various stress hypotheses (distortion energy hypothesis, shear stress hypothesis and alternating shear stress hypothesis). The effects of friction, residual stresses and contact geometry on the location and magnitude of the equivalent stresses appearing in the material have been investigated, the stress hypotheses being evaluated in terms of the extent to which they take account of these effects in an appropriate form. These investigations show clearly that the distortion energy hypothesis is the best representation of the extent of material stress in the case of dynamically loaded rolling elements. The shear stress hypothesis can be considered as a good approximation whereas the alternating shear stress hypothesis is only capable of providing useful conclusions to a limited extent.