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Abstract <p>For the case of a simplified plane stress state and plane deformation trajectories, the constitutive relations between stresses and strains beyond the elastic limit in derivatives with respect to the parameter of tracing the loading process are obtained. The necessity of taking into account the sign of the approach angle between the tangent to the strain trajectory and the stress vector in the constitutive relations is shown.</p>

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On the Angle of Convergence in the Constitutive Relations of the Theory of Elastoplastic Processes for Plane Deformation Trajectories

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • S. L. Subbotin,
  • A. A. Alekseev,
  • V. I. Gultyaev

摘要

Abstract

For the case of a simplified plane stress state and plane deformation trajectories, the constitutive relations between stresses and strains beyond the elastic limit in derivatives with respect to the parameter of tracing the loading process are obtained. The necessity of taking into account the sign of the approach angle between the tangent to the strain trajectory and the stress vector in the constitutive relations is shown.