TITLE

Effective thermodynamic elastic constants under finite deformation

AUTHOR(S)
Dunstan, D. J.; Bosher, S. H. B.; Downes, J. R.
PUB. DATE
April 2002
SOURCE
Applied Physics Letters;4/15/2002, Vol. 80 Issue 15, p2672
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Nonlinear elasticity is required to account for mechanical and acoustic properties of bodies under finite elastic deformation. R. N. Thurston and K. Brugger gave equations [Phys. Rev. 133, A1604 (1964)] relating experimental acoustic velocities in a strained elastic body to the thermodynamic third-order elastic constants c[sub IJK] given in data books. However, no correct and complete set of expressions has been given for the general case, to obtain effective elastic constants from the c[sub IJK] to solve mechanical or physical problems. By considering two deformations applied to an elastic body, effective thermodynamic second-order constants c[sub IJ] under finite strain are defined thermodynamically and correctly related to the Lagrangian and Eulerian third-order elastic stiffness constants, c[sub IJK]. © 2002 American Institute of Physics.
ACCESSION #
6483058

 

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