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The Stationary Values of Young's Modulus For Monoclinic and Triclinic Materials

Published online by Cambridge University Press:  05 May 2011

T. C. T. Ting*
Affiliation:
Division of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA 94305–4040, U.S.A.
*
* Consulting Professor, also Professor Emeritus of University of Illinois at Chicago
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Abstract

The stationary values (maximum, minimum, saddle point) of Young modulus E(n) for a general anisotropic elastic materials is studied. The general results are then spcialized for monoclinic materials. Equations that provide the direction n for a stationary value are given. Some have an explicit solution. Other may require a numerical computation. The equations that required numerical solutions are two coupled polynomials of degree no more than four.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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