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A Note on the Bending of Beams Made of Non-Linear Material

Published online by Cambridge University Press:  04 July 2016

C. R. Calladine
C. R. Calladine*
Affiliation:
Department of Engineering, University of Cambridge
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Extract

Patel And Venkatraman have studied the general behaviour in bending of a thin-walled channel section (Fig. 1) made of non-linear elastic material which deforms in simple tension according to the law

where ε represents strain, σ direct stress and λ, n the relevant material properties. (It is understood that a negative sign is inserted in where this is necessary to make σ and ε have the same sign.) As Patel and Venkatraman explain, the results are, by a trivial substitution, applicable to steady creep behaviour of the channel section.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 67 , Issue 626 , February 1963 , pp. 124 - 125
Copyright
Copyright © Royal Aeronautical Society 1963

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References

1.Patel, S. A. and Venkatraman, B. (1960). On the Creep Analysis of Some Structures. Proceedings of IUTAM Colloquium on Creep in Structures, Stanford University, pp. 43-64, 1960.Google Scholar
2.Hoff, N. J. (1954). Approximate Analysis of Structures in the Presence of Moderately Large Creep Deformations, Quart. Appl. Math., Vol. 12, pp. 49–55, 1954.Google Scholar
3.Calladine, C. R. and Drucker, D. C. (1962). Nesting Surfaces of Constant Rate of Energy Dissipation in Creep, Quart. Appl. Math., Vol. 20. pp. 79–84. April 1962.CrossRefGoogle Scholar
4.Calladine, C. R. and Drucker, D. C. (1962). A Bound Method for Creep Analysis of Structures: Direct Use of Solutions in Elasticity and Plasticity, J. Mech. Eng. Sci., IME, Vol. 4, pp. 1–11, March 1962.Google Scholar