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Biaxial Yield Criteria

Published online by Cambridge University Press:  04 July 2016

E. H. Mansfield
E. H. Mansfield*
Affiliation:
Structures Department, RAE, Farnborough
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Extract

The von Mises yield criterion for sheet material under conditions of plane stress is given by

where σ1, σ2 are the principal stresses in the plane of the sheet and σy is the yield stress under uniaxial tension. If equation (1) is expressed in terms of elastic strains by virtue of the relations:

where v=Poisson's ratio and E=Young's modulus, it is found that when

the term in ∊1∊2 vanishes and the criterion for the onset of yield simplifies to

Now v* is very close to that of most materials of structural interest.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 75 , Issue 732 , December 1971 , pp. 849 - 850
Copyright
Copyright © Royal Aeronautical Society 1971 

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References

1. Michell, A. G. M. Phil Mag S.6, Vol 8, 47, 589, 1904.Google Scholar
2. Cox, H. L. The design of structures of least weight. Pergamon Press, 1965.Google Scholar
3. Hemp, W. S. Theory of structural design. College of Aeronautics. Report 115, 1958.Google Scholar