Densités d'énergie et matériaux cristallins
Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
Div-curl Young measures and optimal design in any dimension.
We explicitly introduce and exploit div-curl Young measures to examine optimal design problems governed by a linear state law in divergence form. The cost is allowed to depend explicitly on the gradient of the state. By means of this family of measures, we can formulate a suitable relaxed version of the problem, and, in a subsequent step, put it in a similar form as the original optimal design problem with an appropriate set of designs and generalized state law. Many of the issues involved has been...