Equation of a layered packet with transverse shears and compression taken into account

The equations describing a layered packet with transverse shears and compression taken into account in all layers are constructed in this paper. The layer material is assumed to be elastic and transversely isotropic. The generalized Timoshenko kinematic hypotheses are used to take into account the transverse shears and compression. The equations in generalized forces, moments, and displacements are obtained, and the equations for characteristic functions in terms of which all variables describing the stress-strain state in the layered packet can be expressed are derived. The deformation problem for a three-layer beam is considered as an example.