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Surface instabilities on an equibiaxially stretched elastic half-space

Published online by Cambridge University Press:  24 October 2008

B. D. Reddy
B. D. Reddy
Affiliation:
University of Cape Town
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Extract

The existence of non-homogeneous modes of deformation in an equibiaxially stretched elastic half-space is investigated. The surface of the half-space is assumed to be traction-free.

It is shown that three different eigenmodal deformations are possible, according as the cube of the critical stretch is greater than, less than, or equal to ¾.

For the class of strain-energy functions due to Ogden (9), necessary conditions for bifurcation are deduced-for equibiaxial tension. Results are given and discussed for single-term, as well as two- and three-term Ogden strain-energy functions, for equibiaxial tension and compression.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 3 , May 1982 , pp. 491 - 501
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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