Two-dimensional stress analysis of multiregion functionally graded materials using a field boundary element model

In the work a field boundary element model able to solve elastic functionally graded materials solids response is presented.Integral equilibrium equations are derived using as weight function the homogeneous elasticity fundamental solution that does not depend on the variability of the material properties. It is then possible to apply the proposed formulation when fundamental solutions are not available. In the model a domain integral arises, yielding to field boundary integral equations. However, in many practical applications, the variability of constitutive laws take place at the interface of homogeneous regions, where graded transition is obtained by the technological process. In such cases, because volume elements describe only the graded part of the structure, the computational effort is strongly reduced.