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.
- Brittle Materials
- Case Hardening
- Contact Phenomena
- Ductile Materials
- Failure Criteria
- Fatigue Loading
- Mises-Hencky Criterion of Yielding
|Data Item ESDU 84017|
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This Data Item contains 15 interactive graph(s) as listed below.
|Figure 1||Maximum values of qe (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 qe|
|Figure 5b||Effect of axis ratio on the overall maximum in qe|
|Figure 6a||Effect of axis ratio on depth of sub-surface maximum of qe|
|Figure 6b||Effect of axis ratio on depth of sub-surface maximum of qe|
|Figure 7||Variation of (qe)qmax with surface depth|
|Figure 8||Variation of (qe)qmax with surface depth|
|Figure 9||Variation of (qe)qmax with surface depth|
|Figure 10||Variation of (qe)qmax with surface depth|
|Figure 11||Variation of (qe)qmax with surface depth|
|Figure 12||Maximum tensile strength|
|Figure 14||Variation of orthagonal shear strength with surface depth|