The basic principle of positive strain energy density of an anisotropic linear or non-linear elastic solid imposes bounds on the values of the stiffness and compliance tensor components. Although rational mathematical structuring of valid intervals for these components is possible and relatively simple, there are mathematical procedures less strictly followed by previous authors, which led to an overestimation of the bounds and misinterpretation of experimental results.
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References
1.
TheocarisP. S.PhilippidisT. P.‘Elastic eigenstates of a medium with transverse isotropy’, Archives of Mechanics (Archiwum Mekhanikii Stosowanej), 1989, 41, 717–724.
2.
JonesR. M.Mechanics of composite materials, 1975 (McGraw-Hill Kogakusha Ltd, Tokyo).
3.
LempriÉReB. M.‘Poisson's ratio in orthotropic materials’, AIAA Journal, November 1968, 2226–2227.
4.
EubanksR. A.SternbergE.‘On the axisymmetric problem of elasticity theory with transverse isotropy’, J. Rat. Mech. Analysis, 1954, 89–101.
5.
SendeckyjG. P.‘Some topics in anisotropic elasticity’ inComposite Materials, Vol. 7 (Edited by BroutmanL. J.KrockR. H.), 1974, (Academic Press, New York), pp. 1–50.
6.
ChristensenR. M.Mechanics of composite materials, 1979, (J. Wiley, New York).