SOLVING THE PROBLEM OF STABILITY UNDER COMPLEX LOADING FOR TRAJECTORIES IN THE FORM OF CIRCLES AND ARCS OF CIRCLES IN A COMPUTER PROGRAM

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Authors

S.V. Cheremnykh

Abstract

Discusses the impact of the complexity of loading at the bifurcation at the critical parameters of stress and strain in the implementation of complex processes pre-critical deformation of a circular cylindrical shell in the coordinate plane Э1 – Э3. The equations of the relationship between stresses and strains in the construction of the image of the loading process are accepted in accordance with the defining relations of the coplanarity hypothesis [1–3]. The material parameters p and q of the approximations of the determining plasticity functions in the theoretical construction of the image of the loading process are taken according to the principle of the best approximation to the experimental data. Proposed innovative methods to solve stability problems under complex loading trajectories of circles and circular arcs in the direction of structural mechanics and solid mechanics implemented in the developed computer program.

Keywords

computer program, stability, bifurcation, shell, complex loading, trajectory, tension, deformation.