Archive of Applied Mechanics

, Volume 87, Issue 6, pp 1077–1093 | Cite as

Sequential simulation and neural network in the stress–strain curve identification over the large strains using tensile test

  • Ivan Jeník
  • Petr Kubík
  • František Šebek
  • Jiří Hůlka
  • Jindřich Petruška


Two alternative methods for the stress–strain curve determination in the large strains region are proposed. Only standard force–elongation response is needed as an input into the identification procedure. Both methods are applied to eight various materials, covering a broad spectre of possible ductile behaviour. The first method is based on the iterative procedure of sequential simulation of piecewise stress–strain curve using the parallel finite element modelling. Error between the computed and experimental force–elongation response is low, while the convergence rate is high. The second method uses the neural network for the stress–strain curve identification. Large database of force–elongation responses is computed by the finite element method. Then, the database is processed and reduced in order to get the input for neural network training procedure. Training process and response of network is fast compared to sequential simulation. When the desired accuracy is not reached, results can be used as a starting point for the following optimization task.


Ductility Constitutive behaviour Metallic materials Numerical algorithms Optimization Elastic–plastic deformation 



This work is an output of project NETME CENTRE PLUS (LO1202) created with financial support from the Ministry of Education, Youth and Sports under the “National Sustainability Programme I”. The authors would also like to thank the Institute of Physics of Materials of the Academy of Sciences of the Czech Republic, v. v. i. for providing the experimental data.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Ivan Jeník
    • 1
  • Petr Kubík
    • 2
  • František Šebek
    • 2
  • Jiří Hůlka
    • 3
  • Jindřich Petruška
    • 2
  1. 1.Honeywell Technology SolutionsBrnoCzech Republic
  2. 2.Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical EngineeringBrno University of TechnologyBrnoCzech Republic
  3. 3.Institute of Applied MechanicsBrnoCzech Republic

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