connecting two horizontal plates

hello,

I'm trying to simulate a layered wooden beam. the wooden beam has 2 different types of wood that follow each other up in the cross section of the beam. By connecting these plates with glue the overall strenth of the beam can be improved. what I am missing in my model is the glue. At the moment the plates all move seperately over eachother and no horizontal stress is transfered from one plate to the other.
Is there any way to connect the surfaces of the plates so they transfer both stress and deformation. Can I glue two plates of different materials together?

any help would be greatly appreciated.
thank you