Hardening Parameters Identification by Cauchy Optimization Method
L.M.Araújo1; B.A. Silva1; L.Q. Machado1; L. Malcher1
1 University of Brasília
doi:10.20906/CPS/CILAMCE2017-0256
Resumo
The aim of this work is to determine hardening parameters of engineering materials using the steepest descent (Cauchy) method. The equation used for modeling the hardening curve was the Holloman equation of 3 parameters, since it is quite simple and models well the behavior of most metal alloys. The objective function that was optimized is based in the least squares function, due to its fast convergence in most optimization methods. The Finite Element method (FEM) was used to simulate the mechanical behavior of the specimen and to evaluate the objective function. Tensile tests were carried out in different engineering materials .These tests provided the experimental data that were used in the numerical analysis. The Cauchy algorithm developed showed a quick convergence compared to the univariate methods with an error less than of 0,1%, providing hardening parameters close enough to those available in the literature. These results are quite interesting because this approach can reduce the cost of the mechanical characterization of material since it only requires one tensile test of the material to obtain the other parameters.
Palavras-chave: Cauchy Method; Finite Element Method; hardening; optimization