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Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry
Author(s) -
Paszkiewicz T.,
Wolski S.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200572716
Subject(s) - direction cosine , poisson's ratio , shear modulus , isotropy , poisson distribution , mathematical analysis , shear (geology) , inverse , symmetry (geometry) , moduli , tensor (intrinsic definition) , mathematics , anisotropy , young's modulus , elastic modulus , physics , materials science , geometry , composite material , optics , quantum mechanics , statistics
Using bases of fourth rank tensorial bases of [ V 2 ] 2 symmetry elaborated by Walpole we obtained expressions for inverse of Young's modulus E ( n ), inverse of shear modulus G ( m , n ) and Poisson's ratio v ( m , n ), which depend on components of the stiffness tensor S , on direction cosines of vectors n of uniaxial load and the vector m of lateral strain with crystalline symmetry axes. Crystalline media of high and medium symmetries are considered. Such representation yields decomposition of the above elastic characteristics to isotropic and anisotropic parts. Expressions for Poisson's coefficient are well suited for studying the property of auxeticity. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)