This presentation examines theoretically the elastic behavior of fiber reinforced metal laminates composed of layers of two types. Woven flexible fabric and metal, in which woven flexible fabric layer includes of sinusoidal shaped fibers. The composite is subjected under biaxial/uniaxial deformation. The theoretical analysis is based upon the Lagrangian description of deformation and the strain-energy density which is assumed to be a function of the Lagrangian strain components referring to the principle material coordinates. The micromechanical model has been obtained using strain energy of components. Finally, the model was solved numerically and then results were compared with published literatures.