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The scheme for determining the approximate values of third-order elastic constants based on experimental data is presented. To describe mechanical propertiesMechanical properties of material five-constant Murnaghan model is used. The experiments on bar tension, cylinder torsion, and panel bending are modeled using the semi-inverse methodSemi-inverse method of nonlinear theory of elasticity. The solutions to the resulting nonlinear boundary value problems for ordinary differential equations are constructed analytically with second-order accuracy. The result of the developed computational methodology is the confidence intervals for the variation of Murnaghan constants. Further parameter tuning can be achieved usingEvolutionary algorithm evolutionary algorithms.

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Parameter Identification for the Nonlinear-Elastic Murnaghan Model Based on Uniaxial Tension, Torsion and Bending

  • 会议论文

  • 发表日期：

    2025年

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  • M. I. Karyakin,
  • S. A. Egorova

摘要

The scheme for determining the approximate values of third-order elastic constants based on experimental data is presented. To describe mechanical propertiesMechanical properties of material five-constant Murnaghan model is used. The experiments on bar tension, cylinder torsion, and panel bending are modeled using the semi-inverse methodSemi-inverse method of nonlinear theory of elasticity. The solutions to the resulting nonlinear boundary value problems for ordinary differential equations are constructed analytically with second-order accuracy. The result of the developed computational methodology is the confidence intervals for the variation of Murnaghan constants. Further parameter tuning can be achieved usingEvolutionary algorithm evolutionary algorithms.