A model for two-sided contact of a thin sheet of material, with real surfaces on both sides is presented. The model combines cylindrical-contact equations, with Euler-Bernoulli beam theory to examine the importance of substrate rigidity in two-sided contact problems. A finite difference program for solving this model is developed. Results for two-sided contact of numerically generated surfaces on thin tapes are presented. The effects of tape thickness and tension are explored. It is shown that substrate's bending rigidity contributes significantly to the overall equilibrium, for typical tape thicknesses and tension values used by the industry. However, large thickness values exists for which substrate bending is negligible and elastic half-space solutions applied to both sides of the tape are adequate.
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