A numerical solution for the non-linear boundary value problem of elasto-plastic bending plate by means of finite difference method is proposed. Test functions, as defined along this work, are employed for verifying the applicability of the computer program. Accuracy of the approximate solutions is demonstrated through the numerical examples.

It is well known that modulus of elasticity, i.e. Young's modulus measures stiffness of an elastic material. This paper proposes a rapid inverse analysis approach based on a measured deflection at some interior point on the middle surface of an elastic plate. An algorithm is developed to identify an unknown modulus of elasticity for a given maximal deflection and the corresponding force. Computational results with noise free and noisy data show effectiveness of the proposed approach.