[For the entire collection see Zbl 0592.00032.]
The paper deals with the formulation of complementary (dual) extremum principles in nonlinear elasticity provided that the rotation vector is treated as an independent quantity. No restriction is imposed on this vector. To formulate such principles the strech tensor and Biot’s stress tensor are used as conjugated tensors. The complementary extremum principles are derived via the mixed principle of virtual work and saddle functional of Hellinger-Reissner type. Incremental formulation is also studied. Two simple examples are examined numerically.
The paper will be of use for specialists in nonlinear elasticity.