Derivation of a rod theory for biphase materials with dislocations at the interface

作者：Mueller Stefan; Palombaro Mariapia

来源：Calculus of Variations and Partial Differential Equations, 2013, 48(3-4): 315-335.

DOI：10.1007/s00526-012-0552-x

Starting from three-dimensional elasticity we derive a rod theory for biphase materials with a prescribed dislocation at the interface. The stored energy density is assumed to be non-negative and to vanish on a set consisting of two copies of SO(3). First, we rigorously justify the assumption of dislocations at the interface. Then, we consider the typical scaling of multiphase materials and we perform an asymptotic study of the rescaled energy, as the diameter of the rod goes to zero, in the framework of I%26quot;-convergence.

• 出版日期2013-11