Abstract
A new method for bounding the overall properties of nonlinear composites, proposed byPonte Castañeda (J. Mech. Phys. Solids39, 45, 1991), is compared with an older prescription based on a generalization to nonlinear behaviour of the Hashin-Shtrikman procedure. It is demonstrated that the two methods generate precisely the same information, and hence that differences noted by Ponte Castañeda arise from comparing optimal bounds obtained from the new procedure with sub-optimal bounds obtained from the original one. The relative advantages of either procedure are discussed.
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