Heat-resistant functionally gradient materials with spheroid inclusions meso-scopic-structure optimization equation

Functionally gradient materials (FGMs) have complex meso-scopic structure, so it is the main developing direction to investigate the properties of FGMs by using the method of meso-scopic mechanics. An analysis on the meso-scopic structure and property of uneven hot-resistant FGMs with spheroid inclusions was introduced in this paper. A meso-scopic mechanical model was established. The research includes the damage evolution and the failure of FGMs. The research results were applied to the meso-scopic stress analysis and properties prediction of multi-phase inclusions FGMs. For the convenience of engineering applications, all the research results were provided in explicit forms.