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Difference between revisions of "Lamé constants"

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m (moved Lamé constants to Lame constants: ascii title)
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Revision as of 07:54, 26 March 2012

Quantities that connect the components of an elastic stress at some point of a linearly-elastic (or solid deformable) isotropic body with the components of the deformation at this point:

where and are the normal and tangential constituents of the stress, are the components of the deformation and the coefficients and are the Lamé constants. The Lamé constants depend on the material and its temperature. The Lamé constants are connected with the elasticity modulus and Poisson's ratio by

is also called Young's modulus and is the modulus of shear.

The Lamé constants are named after G. Lamé.


Comments

References

[a1] E.M. Lifshitz, "Theory of elasticity" , Pergamon (1959) (Translated from Russian)
[a2] I.S. [I.S. Sokolnikov] Sokolnikoff, "Mathematical theory of elasticity" , McGraw-Hill (1956) (Translated from Russian)
[a3] S.C. Hunter, "Mechanics of continuous media" , Wiley (1976)
How to Cite This Entry:
Lamé constants. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lam%C3%A9_constants&oldid=23362
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article