  Explicit expressions, for efficient application in engineering practice, are
derived for generalized displacements and stresses in simply supported
multi-layered wide plates and beams subjected to steady-state thermal and
mechanical loading. The expressions are general and apply to plates composed of
an arbitrary number of layers, of arbitrary thickness and elastic/thermal
properties, and where the interfaces between the layers may be imperfect and
allow relative sliding. The closed-form solutions are obtained using a
multiscale homogenized model which depends on only three displacement variables
and overcomes limitations of current approaches based on computationally
expensive discrete-layer models. The accuracy of the expressions in predicting
the highly complex and discontinuous fields, which characterize the response of
thick and highly anisotropic plates with interlayer damage and delaminations,
is verified using exact 2D thermo-elasticity solutions. The asymptotic limits
of the model/solution correspond to the problems of an intact and a multiply
delaminated plate. They are derived using a perturbation technique, which also
explains the multiscale dependence of the model on the parameters.
