Stress uniformization using functionally graded materials


  • Stefan Sorohan Department of Strength of Materials, University POLITEHNICA of Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania
  • Dan Mihai Constantinescu Department of Strength of Materials, University POLITEHNICA of Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania


Elastic analysis, functionally graded material (FGM), full stressed design (FSD), iterative technique


A particular geometric domain with specified boundary conditions which remain constant is considered. The elastic properties of the solid isotropic material, as Young’s modulus of elasticity E and Poisson’s ratio, are variable pointwise. From practical point of view, one may encounter materials with similar values of the transversal contraction coefficients and therefore we assume that Poisson’s ratio is constant. The problem to be analyzed is the optimization of the distribution of the material properties as to minimize and/or get a uniform distribution of the state of stress in each domain. The used strategy of optimization is a heuristic method, that is the fully stressed design (FSD) technique. Two simple applications, for pin jointed bars and a circular stress raiser, are presented as to validate the proposed calculus methodology.


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