Theory of elastoplastic processes and study of structure-mechanical properties of materials

Васин, Р. А.

doi:10.3103/s0025654411010031

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…The main equations of the mathematical model of the theory of processes in flat tasks are the defining relations (13) and universal approximations of functional V. G. Zubchaninov [3,9] function of complex loading, that taking into account the orientation of the stress vector in the deformation process and its value at the break point of the trajectory; , , , , , A B b p q  material parameters for each construction material, experimentally determined from basic experiments. Generalized to complex loading, the effect of baushinger regarded as a manifestation of General properties of delay scalar properties of materials [3].…”

Section: Mathematical Model Of the Theory Of Processes In Flat Tasksmentioning

confidence: 99%

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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Section: Mathematical Model Of the Theory Of Processes In Flat Tasksmentioning

confidence: 99%

Deformation of cylindrical shells of steel 45 under complex loading

2019

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“…A wide set of mathematical models of nonlinear response of elastoplastic materials under the simple and complex loading have been developed so far [1][2][3]. However, these models are mainly focused on solving the problems with small strains and loading trajectories of small and medium curvature.…”

Section: Introductionmentioning

confidence: 99%

The experimental and theoretical analysis of high strains and limit states of elastoplasic cylindric shells under the complex loading of pressure and torsion

Artemyeva¹,

Баженов²,

Жегалов³

et al. 2016

Arch Appl Mech

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Nowadays, there are no techniques or software making it possible to simulate the high strains of shells under the combined complex loadings of internal pressure and torsion in the generalized axisymmetrical formulation. These problems are inherent for the experimental investigations of elastoplastic properties of metals and alloys on tubular samples. In this paper, we present the variation-difference method for solving similar problems with taking into consideration high strains and the conditions of an inhomogeneous stressstrain state. We conduct the numerical and experimental studies of the process of elastoplastic deformation and plastic strain localization under the combined loadings of internal pressure and torsion. The mutual influence of torsion on the shell forming under high strains is estimated. The loss of stability with axisymmetric and non-axisymmetric forms is analyzed by 2D and 3D modeling. The simulations results are finally validated by experiments.

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Stability of Crystal Plasticity Constitutive Models: Observations in Numerical Studies and Analytical Justification

Shveykin,

Trusov,

Romanov

2024

Metals

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In designing accurate constitutive models, it is important to investigate the stability of the response obtained by means of these models to perturbations in operator and input data because the properties of materials at different structural-scale levels and thermomechanical influences are stochastic in nature. In this paper, we present the results of an application of the method developed by the authors to a numerical study of the stability of multilevel models to different perturbations: perturbations of the history of influences, initial condition perturbations, and parametric operator perturbations. We analyze a two-level constitutive model of the alpha-titanium polycrystal with a hexagonal closed packed lattice under different loading modes. The numerical results obtained here indicate that the model is stable to perturbations of any type. For the first time, an analytical justification of the stability of the considered constitutive model by means of the first Lyapunov method is proposed, and thus the impossibility of instability in models with modified viscoplastic Hutchinson relations is proved.

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Theory of elastoplastic processes and study of structure-mechanical properties of materials

Cited by 3 publications

References 3 publications

Deformation of cylindrical shells of steel 45 under complex loading

Deformation of cylindrical shells of steel 45 under complex loading

The experimental and theoretical analysis of high strains and limit states of elastoplasic cylindric shells under the complex loading of pressure and torsion

Stability of Crystal Plasticity Constitutive Models: Observations in Numerical Studies and Analytical Justification

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