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

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.

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Publication Details

Journal
Moscow University Mechanics Bulletin
Published
2025-10-01
DOI
https://doi.org/10.3103/s0027133025700323
Primary Topic
Elasticity and Wave Propagation
Type
article
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article

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

A. A. Alekseev, S. L. Subbotin, V. I. Gultyaev
Moscow University Mechanics Bulletin
Elasticity and Wave Propagation
article

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

A. A. Alekseev, S. L. Subbotin, V. I. Gultyaev
article en

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.

Moscow University Mechanics BulletinVol. 80(5)
Tver State Technical University (RU)
Openalex Percentile: Top 39%
Elasticity and Wave Propagation
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