The knowledge of elastic fields caused by dislocation networks is a network that is sometimes indispensable for the interpretation of images obtained by electron microscopy and for the understanding of physical phenomena. In this axis, the present work makes it possible to determine the elastic behavior of a thin bimetallic isotropic elasticity in the case where the hetero-interface is covered with a parallel network of wedge type detuning dislocations. The topology of the free surfaces is calculated according to the total thickness of the bimetallic strip until a relaxation is reached for a thickness "h" called critical thickness.