Abstract

In this paper, the displacement response of functionally graded material structure under mechanical loading was studied by using strip element method. Established a parameterized model for describing the functional gradient material physical properties, the displacement expression of strip element method was deduced, using the virtual work principle to get the control equations of functionally graded materials plane problem, using the modal superposition method to complete the solution of the equation. The accuracy of the calculation method was verified by comparison with the result of finite element method. The research shows that the results of the strip element method are consistent with the finite element method in the displacement response of the functionally graded materials under mechanical loading. With the increase of the gradient coefficient, the ceramic content is increased, and the material stiffness is also increased, then the structure response caused by external loading is decreased. With the increase of the gradient coefficient, the influence of the gradient coefficient to the structure displacement response is decreased gradually.

Keyword: Displacement Response; Functionally Graded Materials; Strip Element Method.