1 Department of Mathematics, Technical University of Denmark2 Rector’s office, Administration, Technical University of Denmark3 Department of Applied Mathematics and Computer Science, Technical University of Denmark
Polycrystalline materials comprised of grains obtained froma single anisotropic material are considered in the frameworkof linear elasticity. No assumptions on the symmetry of thepolycrystal are made. We subject the material to independentexternal strain and stress fields with prescribed mean values.We show that the extremal overall elastic response is alwaysachieved by a configuration consisting of a single properlyoriented crystal. This result is compared to results for isotropicpolycrystals.