Case studies on the tailoring of FGM elastic hollow spheres, circular cylinders and disks using practical design condition
Keywords:
Functionally graded thick-walled shells, Finite element analysis, Iterative technique, Equal stress structure, Equal strength structureAbstract
In current literature it was demonstrated that using a radial functionally graded material (FGM) may improve designing of thick spheres, cylinders and disks if the circumferential stress component or the maximum shear stress should be constant along the body radius r. These bodies are designed in one of these stress conditions and considering additional assumptions are called equal stress structures. An isotropic FGM may be characterized in linear static analyses by two elastic constants: Young's modulus E(r) and Poisson's ratio v(r). Usually, FGMs are made from two base materials, and the effective properties are obtained through homogenization. In this paper, a general stress condition, including equal strength structure, is imposed and the inverse problem is solved iteratively using a finite element model and an algorithm of stress condition uniformization. Six case studies are presented in detail, pointing out the robustness of the algorithm and the advantages of designing according to a uniform stress condition.
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