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On the parameter identification problem for failure criteria in anisotropic bodies

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Summary

The elliptic paraboloid failure surface criterion (EPFS) is adopted in this paper to describe the failure behaviour of anisotropic bodies. A method is described, based on an inequality-constrained least square problem for the determination of the parameters of the EPFS criterion. After the discussion of the influence of the strength differential effect on the failure behaviour of the material, a neural network learning approach is introduced to the problem of extrapolating the given experimental results beyond the given range of experimental data by establishing an appropriate law of evolution of the failure surface valid for the material up to fracture.

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Author notes

  1. P. S. Theocaris

    Present address: Institute of Mechanics, National Academy of Athens, P.O. Box 77230, 17510, Athens, Greece

  2. C. Bisbos & P. D. Panagiotopoulos

    Present address: Department of Civil Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece

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    1. P. S. Theocaris
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    2. C. Bisbos
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    3. P. D. Panagiotopoulos
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    Theocaris, P.S., Bisbos, C. & Panagiotopoulos, P.D. On the parameter identification problem for failure criteria in anisotropic bodies. Acta Mechanica 123, 37–56 (1997). https://doi.org/10.1007/BF01178399

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