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Self‐consistent elastic moduli of a cracked solid
Author(s) -
Henyey Frank S.,
Pomphrey Neil
Publication year - 1982
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl009i008p00903
Subject(s) - moduli , isotropy , elastic modulus , range (aeronautics) , materials science , elasticity (physics) , isotropic solid , physics , composite material , optics , quantum mechanics
A self‐consistent theory for the determination of elastic moduli of cracked solids is presented, and worked out for an isotropic distribution of cracks. A missing ingredient of the previous theory of O'Connell and Budiansky is the correct accounting of crack interaction energy. The new theory leads to a set of differential equations for the effective elastic moduli which are easily solved. The solutions always lie within the physical range, and show that the influence of the cracks on the effective moduli is considerably less than has been previously calculated.