Effective thermodynamic elastic constants under finite deformation

Dunstan, D. J.; Bosher, S. H. B.; Downes, J. R.
April 2002
Applied Physics Letters;4/15/2002, Vol. 80 Issue 15, p2672
Academic Journal
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.


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