Tilting stiffness of elastic layers bonded between rigid plates

A theoretical approach to determine the tilting sti}ness of an elastic layer bonded between rigid plates is presented and then applied to derive the formulae of tilting sti}ness for layers of in_nite!strip\ circular and square shapes[ Based on two kinematics assumptions\ the governing equations for the mean pressure are established from the equilibrium equations and the bulk modulus equation[ Satisfying the stress boundary conditions\ the pressure functions are solved and the formulae for tilting sti}ness are derived[ The tilting sti}nesses calculated from these formulae are extremely close to the results obtained from the _nite element method for an extensive range of shape factor and Poisson|s ratio