Numerical Simulation a Processes of Complex Elastoplasticdeformation Steel on Two-Link Broken Trajectories

Zubchaninov, V. G.; Alekseev, A. A.; Gultyaev, V. I.

doi:10.32326/1814-9146-2014-76-1-18-25

Cited by 5 publications

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“…1, a specimen was subject to repeated sign-variable loading through equal stretching increments ΔЭ1 = 0.5 % (Fig. 1) with subsequent sign-variable loading on |ΔЭ1|  0.75 % under compression [13]. In the same test according to program No.…”

Section: Experimental Studiesmentioning

confidence: 99%

About Drawing the Yield Surface for Steel 45 and Verifying the Postulate of Isotropy on Straight-Line Paths Under Repeated Sign-Variable Loadings

2018

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This article presents the results of the experimental studies under repeated sign-variable loadings of steel tubular specimens under stretching-compression and torsion. The experiments were carried out using an automated testing machine for complex loading SN-EVM named after A.A. Ilyushin in the vector space of deformations (rigid loading). The experimental data allowed to evaluate the Bauschinger effect and the magnitude of secondary yield limits at various allowances for residual deformation. The article provides the influence of the allowance for residual deformation on the radius and position of the center of the spherical yield surface in the stress space, used in plastic flow theories. With an increase of the allowance for residual deformation, both the parameter that characterizes the Bauschinger effect and the radius of the yield surface increase, while the displacement of its center decreases. When the length of the arc of plastic deformation increases, the parameter that characterizes the Bauschinger effect decreases and tends to a stationary value. It is established that the radius of the spherical yield surface makes a temporary decrease and then increases as the length of the arc of plastic deformation grows. Some mathematical models of the plastic flow theory relate this decrease in the radius of the yield surface not to a change in the material's internal structure at the mesolevel and the orientation of microstresses, but to the elastic softening of an initially isotropic body, considering this strain rate to be negative, by mistake. For the realized types of the experimental paths of the repeated loadingunloading with breaks by 180 degrees, the verification of the postulate of isotropy by A.A. Ilyushin shows that it is carried out quite well, when it comes to its scalar and vector properties.

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Section: Experimental Studiesmentioning

confidence: 99%

About Drawing the Yield Surface for Steel 45 and Verifying the Postulate of Isotropy on Straight-Line Paths Under Repeated Sign-Variable Loadings

2018

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“…− Э # представлена на рис. 4, где на участке ОА (I) происходит нагружение оболочки осевой сжимающей силой, после чего на втором участке АВ (II) происходит замкнутый виток траектории постоянного радиуса при воздействии на цилиндрическую оболочку силами сжатия и кручения[8][9][10][11][12][13][14][15][16][17][18][19].Уравнения связи напряжений и деформаций, начальные условия реализуемого сложного процесса[2]. Используем определяющие соотношения гипотезы компланарности в форме[2]…”

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Deformation of Cylindrical Shell Made of 9X2 Steel Under Complex Loading

Cheremnykh

2024

Struct. Mech. of Eng. Const. and Build

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The development of the construction industry in terms of the design and manufacture of shell structures of non-standard architectural forms made of materials with complex mechanical properties requires using modern integrated computer-aided design systems with step-by-step modeling of deformation of structural elements under operating conditions, as well as taking into account their subsequent behavior after accumulation of residual strains during plastic deformation. The purpose of the study is to simulate the process of plastic deformation of a thin-walled cylindrical shell made of 9X2 GOST 5950-2000 (Interstate Standard) steel under compression and torsion with theoretical calculations based on the general theory of elastoplastic processes by A.A. Ilyushin. The constitutive equations of the theory of elastoplastic processes by A.A. Ilyushin for complex loading path and deformation of materials in the deviatoric strain space are presented. Based on the presented solutions, according to the strain path of the 9X2 steel shell implemented in the model, the graphs showing the relation of the vector and scalar properties of the material to the arc length of the strain path are constructed. A conclusion is made about the degree of hardening of the material in question and its dependence on the magnitude of the angle of convergence at the kink point of the complex path. The graphs of changes in the constitutive plasticity functions with respect to the increments of the arc length of the strain path are presented.

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Deformation of cylindrical shells of steel 45 under complex loading

2019

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Reviewing the numerical simulation of the process of non-proportional elastic-plastic deformation of steel 45 by a knot of constant curvature, taking into account the complex nature of deformation under complex subcritical loading by axial compressive force and torque for a thin-walled circular cylindrical shell. The theory of Quas and simple processes of A. A. Ilyushin and the mathematical model of V. Zubchaninov were applied taking into consider the parameters of the complex loading for plane trajectories To assess the accuracy of accepted theories, the simulation results are compared with experimental results, received on the automated complex СNcomputer in the laboratory of the faculty of «Strength of materials and theory of elasticity and plasticity» of the Tver state technical University. Was introduced the scheme of calculations disproportionate plastic deformation of steel 45 using the proposed mathematical model showed a satisfactory result and recommended for further use. Remarks, that in the described processes the lack of some parameters complex loading in approximations reduces the accuracy of the final calculated values, differences significantly compared to the experimental data.

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Numerical Simulation a Processes of Complex Elastoplasticdeformation Steel on Two-Link Broken Trajectories

Cited by 5 publications

References 0 publications

About Drawing the Yield Surface for Steel 45 and Verifying the Postulate of Isotropy on Straight-Line Paths Under Repeated Sign-Variable Loadings

About Drawing the Yield Surface for Steel 45 and Verifying the Postulate of Isotropy on Straight-Line Paths Under Repeated Sign-Variable Loadings

Deformation of Cylindrical Shell Made of 9X2 Steel Under Complex Loading

Deformation of cylindrical shells of steel 45 under complex loading

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