Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates

• Full weak uniqueness is established, relative to both space and time variables.
• Symmetry of the elasticity tensor is assumed, without any assumption of positive-definiteness.
• The Lagrange identity method is used.
• Unlike other work, a conservation law and some initial conditions are not necessary.
• In the demonstration, weak solutions with two different time translations are used.

The equations of a dynamic Mindlin theory for the bending of anisotropic plates are presented. The elastic coefficients are assumed to satisfy 3D triclinic symmetry conditions plus additional assumptions in order to deduce the 2D constitutive equations for the plate. The uniqueness is proved in a full weak form, relative to both space and time co-ordinates, without any assumption of positive-definiteness, on the basis of the symmetry relations satisfied by the elasticity tensor.