It is quite easy to calculate it if you have a look to the Classical Lamination Theory.
Furthermore, before go to analyze your laminate, consider your boundary conditions and load. To be more precise, let us know you aimed to determine deformation in which direction or plain?
I forgot to mention that I am working on higher order theories. This is not that difficult problem using Classical Lamination Theory CLPT. It was regarding higher order theories, with displacement approach.