Its a simplified case of two linings tunnel design. Its the same if I simulate a shape like the image beloqw.

In reality in this case of tunnel design that I study, there is an adhesive interface lining which can bear some tensile stresses. The width of this interface in comparison of the whole tunnel is very small in the range of milimeters. I would like to know if there is any possibility to simulate this kind of interface that can transfer compressive shear and tensile stresses. Also in reality there is a possibility to have a differential movement between the two linings(not only compressive stresses but also tension stresses.)

Thank you in advance Mr Newman.