00907nas a2200109 4500008004300000245006400043210006300107520054600170100002500716700002000741856003600761 2007 en_Ud 00aDerivation of a rod theory for phase-transforming materials0 aDerivation of a rod theory for phasetransforming materials3 aA rigorous derivation is given of a rod theory for a multiphase material,starting from three-dimensional nonlinear elasticity. The stored energy density is supposed to be nonnegative and to vanish exactly on a set consisting of two copies of the group of rotations SO(3). The two potential wells correspond to the two crystalline configurations preferred by the material. We find the optimal scaling of the energy in terms of the diameter of the rod and we identify the limit, as the diameter goes to zero, in the sense of Gamma-convergence.1 aMora, Maria Giovanna1 aMÃ¼ller, Stefan uhttp://hdl.handle.net/1963/1751