Generalised self consistent homogenisation using finite element method

This paper presents a development of the usual generalized self-consistent method for homogenisation of composite materials. In the case of both linear and non linear components, the self-consistent homogenisation can be used to identify expressions for bounds of effective mechanical characteristics. In this paper we formulate a coupled thermo-mechanical problem for non linear composites having properties depending on temperature. The solution is found in a non-classical way, as we use the Finite Element Method to solve the elastic-plastic problem at hand. In this sense we propose a “problem-oriented” technique of solution. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.