結晶塑性のCosserat理論と方位回転解析

抄録

The Cosserat medium supporting the asymmetric stresses and couple stresses and having a rigid microstructure was employed as a continuum model of crystals deforming by slip and rotations. And, a new theory of crystal plasticity, generalizing the maximum external work and minimum internal work principles of Bishop-Hill, was formulated on the basis of the Cosserat theory. The method for obtaining the solution of lattice rotations under constrained plastic deformation was introduced by using a mathematical technique of non-linear optimization problems. The proposed theory was applied to predict the development of shear deformation texture in fcc metals. Finally, the physical mechanism of lattice rotations during plastic deformation was discussed in terms of the concept of disclinations which are rotational type of Volterra’s dislocations.