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February 19, 2026Scientific Reports0 citationsOpen Access

Determination of the parameters of a material constitutive relation using the surrogate model along with dynamic indentation test

GMG. H. MajzoobiBu-Ali Sina UniversitySPSamaneh PourolajalBu-Ali Sina University

Key Points

  • This research aims to identify the parameters of the Zerilli-Armstrong material model using dynamic indentation tests.
  • Conducted dynamic indentation tests on steel alloy specimens at four strain rates and temperatures.
  • Simulated tests using Ls-Dyna hydro code to obtain numerical load-depth curves.
  • Optimized the error between experimental and numerical results using a surrogate model.
  • Validated results with stress-strain curves from Hopkinson bar tests.
  • The method provided acceptable results for the Zerilli-Armstrong model parameters.
  • Reproduced results from previous studies using Johnson-Cook model for comparison.

Abstract

It is well-known that materials behavior changes with strain rate and temperature. The changes are described by an equation known as material model. The model involves a number of constants which are normally determined by experiment. In this study, the constants of Zerilli-Armstrong model are identified using dynamic indentation test combined with numerical simulation and an optimization technique. The specimens made of a steel alloy are subjected to indentation tests at four different strain rates and four temperatures and the experimental load-depth curve is recorded. The dynamic indentation test is simulated using Ls-dyna hydro code and the numerical load-depth is obtained. Attempts are made to optimize the error between the experimental and the numerical load-depth curves. This is accomplished using Surrogate model. The results are validated using the stress-strain curves obtained from Hopkinson bar tests. The study shows that the method yields acceptable results. The results obtained using artificial neural network and optimization technique, based on a quadratic polynomial, which have been reported in the previous works for Johnson-Cook model are reproduced here for Zerilli-Armstrong model for comparison purposes.

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Cite This Study

Majzoobi et al. (2026) studied this question.

synapsesocial.com/papers/6996a7b5ecb39a600b3eda26https://doi.org/10.1038/s41598-025-06192-6
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