ESDU 84017
Contact phenomena. II: stress fields and failure criteria in concentrated elastic contacts under combined normal and tangential loading.
Abstract:
ESDU 84017 provides a graphical method for predicting failure in the contact area of two elastic bodies subjected to combined normal and tangential loading. The method assumes that the ratio of the shear stress to the normal stress is constant throughout the affected region and equal to the sliding coefficient of friction. It requires initial information that can be obtained from ESDU 78035 on the maximum compressive stress and the contact area shape. With these values, the method provides data that enable failure to be predicted in one of three situations. Firstly, for use with the von Mises criterion for ductile failure, it enables the maximum equivalent stress to be evaluated and, where the material properties vary with depth (case hardening, for example), provides its variation with depth. Secondly, it provides values of the maximum tensile stress for use in predicting failure of brittle materials. Finally, for use in predicting fatigue failure, it provides the maximum value of the range of orthogonal shear stress, and its variation with depth. Practical worked examples illustrate the use of the method. See also ESDUpac A9434 in the Mechanisms or Tribology Series for a Fortran program providing solutions to this problem.Indexed under:
 Brittle Materials
 Case Hardening
 Contact Phenomena
 Ductile Materials
 Failure Criteria
 Fatigue Loading
 MisesHencky Criterion of Yielding
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Data Item ESDU 84017  

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This Data Item contains 15 interactive graph(s) as listed below.
Graph  Title 

Figure 1  Maximum values of q_{e} (the shaded areas include points corresponding to the three configurations of sketch 4.3) 
Figure 2  Line contact with friction along the short dimension 
Figure 3  Line contact with friction along the long dimension 
Figure 4  Circular point contact 
Figure 5a  Effect of axis ratio on the overall maximum in q_{e} 
Figure 5b  Effect of axis ratio on the overall maximum in q_{e} 
Figure 6a  Effect of axis ratio on depth of subsurface maximum of q_{e} 
Figure 6b  Effect of axis ratio on depth of subsurface maximum of q_{e} 
Figure 7  Variation of (q_{e})q_{max} with surface depth 
Figure 8  Variation of (q_{e})q_{max} with surface depth 
Figure 9  Variation of (q_{e})q_{max} with surface depth 
Figure 10  Variation of (q_{e})q_{max} with surface depth 
Figure 11  Variation of (q_{e})q_{max} with surface depth 
Figure 12  Maximum tensile strength 
Figure 14  Variation of orthagonal shear strength with surface depth 