TY - RPRT
T1 - Derivation of a rod theory for phase-transforming materials
Y1 - 2007
A1 - Maria Giovanna Mora
A1 - Stefan MÃ¼ller
AB - A 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.
JF - Calc. Var. Partial Differential Equations 28 (2007) 161-178
UR - http://hdl.handle.net/1963/1751
U1 - 2793
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -