Boundary element method for calculation of effective elastic moduli in 3D linear elasticity

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 elast...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2010-05, Vol.33 (8), p.1021-1034
Hauptverfasser:	Grzhibovskis, R., Rjasanow, S., Andrä, H., Zemitis, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	adaptive cross approximation Boundaries Boundary element method effective elastic properties Elasticity Exact sciences and technology Mathematical analysis Mathematics Matrices Modulus of elasticity Sciences and techniques of general use Solvers Three dimensional
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Beschreibung
Zusammenfassung:	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.
ISSN:	0170-4214 1099-1476 1099-1476
DOI:	10.1002/mma.1233