WIT Press


Homogenization Of Composites Using Eigenstrains

Price

Free (open access)

Paper DOI

10.2495/BT010291

Volume

27

Pages

10

Published

2001

Size

856 kb

Author(s)

P. Prochazka

Abstract

In recent papers of the author, a periodic structure has been homogenized on square unit cell obeying boundary conditions following classical works of Suquet. Either uniform strain or uniform stress was applied and the overall material stiffness matrix has been obtained from that assumptions. The disad- vantage of this procedure appears to be a non-unique boundary conditions for the normal directions. This phenomenon follows from application of Green's theorem to kinematical equations in integral form. Consequently, the results were dependent of boundary condition along the boundary, which was not loaded either by normal strain or normal stress. The remedy is either to change the boundary conditions (non-uniqueness is still not suppressed) or to change the way of loading. In the paper suggested here, overall eigenparameters are

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