Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 2323-2324
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Faithful icosahedral symmetry exists only for tensors of rank higher than 5. The most relevant tensor of this type is the one for third-order elastic constants C(3)ijklmn defined by the series expansion Tij=C(2)ijklεkl+ 1/2 C(3)ijklmnεklεmn +⋅⋅⋅ of the stress tensor T in terms of the deformation tensor ε. A basis for those tensors in (R3)⊗6 that are invariant under a certain action of both the icosahedral group S2×A5 and the wreath product S2∼S3 of the symmetric groups S2 and S3 are evaluated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527831
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