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Further Considerations of the Elastic Inclusion Problem

Published online by Cambridge University Press:  20 January 2009

R. J. Knops
R. J. Knops
Affiliation:
Department of MathematicsUniversity of Newcastle Upon Tyne
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Summary

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An equation is derived for the strains of an arbitrary elastic field in an infinite matrix perturbed by several inclusions. The equation is solved exactly when the shear moduli of the inclusions and matrix are identical, and also when only a single ellipsoidal inclusion perturbs a field uniform at infinity. Mean-values of the strains are then calculated for non-uniform fields perturbed either by an ellipsoid or by a system of weakly-interacting spheres.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 1 , June 1964 , pp. 61 - 70
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

REFERENCE

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