Analytical solution for compression stiffness of bonded rectangular layers

It is well known that the compression sti€ness of bonded layers increases due to the restricted lateral expansion if Poissonʹs ratio is near 0.5. While analytical solutions have previously been obtained for circular, in®nite-strip and square shapes, this paper presents the ®rst analytical attempt for bonded rectangular layers. On the basis of two kinematic assumptions and by means of variable transformation, the governing equations are derived. The double series approach provides a direct means of computation with second-order convergence. The solutions agree well with the published results for special cases of square layers and in®nite strips, and with ®nite element results for rectangular layers. Besides illustrating the importance of including the compressibility e€ect, the numerical study shows that the e€ect of length-to-width ratio is signi®cant on the e€ective compression modulus of rectangular pads