Double strip problem, entirely supported on bottom and compressed with a rigid punch

SUMMARY Double Strip Problem, Entirely Supported on Bottom and Compressed with a Rigid Punch In this study, a frictionless double contact problem for two elastic layers which the lower one is entirely bonded to a rijid support is considered according to the theory of elasticity. Unbonded elastic layers are subjected to a concentrated force by means of a rigid punch. The effect of gravity forces are neglected. In the first chapter, some studies on the contact problem investigated until now are summarized and general equations of stresses and displacements are obtained by using theory of elasticity and integral transform techniques. In the second chapter, the problem and its boundary conditions are determined. Eight constant coefficients and eight linear algebraic equations are obtained by applying the expressions of stresses and displacements to the boundary conditions. Solving the equation system, coefficients are expressed by depending on the unknown contact pressures occurred under the punch and between the elastic layers. Substituting the constant coefficient into unused boundary conditions, an integral equation system which consist of two integral equations is obtained. Using the suitable Gauss-Chebyshev integration formula equations are analyzed numerically and integral equation system is solved. Contact pressures, the extent of contact and o\, ay, xxy stress compenents are determined. In the third chapter, numerical results for various dimensionless quantities are analyzed and presented in graphical forms. These results are discussed. The conclusions obtained from the study are mentioned in the fourth chapter. Key Words: Contact Problem, Elastic Layer, Rigid Punch, Frictionless Contact, Integral Transform Technique, Theory of Elasticity, Contact Pressure, Receding Contact. VI