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Abstract The theory of elasticity is concerned with the study of the response of elastic bodies to the action of forces. A body is called elastic if the deformation of the body disappears with the removal of the forces [1]. The elastic property of material is characterized mathematically by certain functional relationships connecting forces and deformations. Among such relationships, a linear law stemming from a generalization of Hooke’s law states in effect, that the extensions of spring like bodies, produced by the tensile forces, are proportional to the forces [1].During the 150-year period following the discovery of Hooke’s law in 1676, the growth of the science of elasticity proceeded from a synthesis of solutions of special problems [1]. The first attempt to deduce general equations of motion of elastic solids was made by Navier in 1821 [2] and A. Cauchy [3]. |