On the Strong Closure of Strains and Stresses in Linear Elasticity
نویسندگان
چکیده
We consider the following special problem related to the optimal layout problems of materials: Given two elastic materials, C 1 and C 2 the corresponding elasticity tensors, and a force ~ f, nd the strong closure of strains and stresses as the distribution of the materials varies or, alternatively, nd the sets of elasticity tensors which generate these strong closures. In this paper, it is shown that the local incompatibility conditions depending on C 1 , C 2 and the local properties of strains or stresses characterize completely these sets. A connection to multiple well problems is established.
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تاریخ انتشار 1998