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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 5, Pages 44–51 (Mi vmumm4718)

Mechanics

Angle of convergence in the constitutive relations of the theory of elasto-plastic processes for plane deformation trajectories

S. L. Subbotin, A. A. Alekseev, V. I. Gyltiaev

Tver State Technical University

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.

Key words: plasticity, theory of elastoplastic processes, constitutive relations, coplanarity hypothesis, narrowing angle.

UDC: 539.3

Received: 18.10.2024

DOI: 10.55959/MSU0579-9368-1-66-5-7


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:5, 203–210


© Steklov Math. Inst. of RAS, 2026