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Boundary element method for calculation of effective elastic moduli in 3D linear elasticity
Author(s) -
Grzhibovskis R.,
Rjasanow S.,
Andrä H.,
Zemitis A.
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1233
Subject(s) - mathematics , linear elasticity , elasticity (physics) , solver , boundary element method , moduli , mathematical analysis , galerkin method , equivalence (formal languages) , elastic modulus , finite element method , mathematical optimization , composite material , pure mathematics , materials science , physics , quantum mechanics , thermodynamics
A boundary integral formulation of the linear elasticity problem for a multi‐component composite is given. The fast BEM solver based on the adaptive cross approximation is then obtained by the data‐sparse representation of the resulting Galerkin matrices. The solver is used to obtain effective elastic moduli of fibre and particle reinforced composites in three dimensions by means of the strain energy equivalence principle. Copyright © 2009 John Wiley & Sons, Ltd.