Effect of the Anisotropic Yield Condition on the Predicted Distribution of Residual Stresses in a Thin Disk

Grechnikov, F. V.; Erisov, Yaroslav; Alexandrov, Sergei

doi:10.1134/s1028335819050100

Cited by 1 publication

(3 citation statements)

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“…A stress solution has been found in [31]. For the reason of readability, the main results of this solution are presented in this section.…”

Section: Stress Solutionmentioning

confidence: 99%

“…In what follows, it is assumed that the disk is loaded with the pressure p 0 = 140 MPa. The effect of the yield criterion on the distribution of stresses has been discussed in [31]. Therefore, the present paper is restricted to evaluating this effect on the distribution of strains.…”

Section: Hill's Yield Criterion (Equation (3))mentioning

confidence: 99%

“…It is more important to derive an analytic or semi-analytic solution without relaxing any boundary conditions. In [31], the effect of replacing the exact yield criterion by transversely isotropic yield criteria on the distribution of residual stresses in a thin hollow disk subjected to external pressure and subsequent unloading has been investigated. In the present study, this analysis is extended to the distribution of residual strains.…”

Section: Introductionmentioning

confidence: 99%

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Influence of the Replacement of the Actual Plastic Orthotropy with Various Approximations of Normal Anisotropy on Residual Stresses and Strains in a Thin Disk Subjected to External Pressure

et al. 2020

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Plastic anisotropy is very common to metallic materials. This property may significantly affect the performance of structures. However, the actual orthotropic yield criterion is often replaced with a criterion based on the assumption of normal anisotropy. The present paper aims to reveal the influence of this replacement on the distribution of strains and residual strains in a thin hollow disk under plane stress conditions. The boundary-value problem is intentionally formulated such that it is possible to obtain an exact semi-analytical solution without relaxing the boundary conditions. It is assumed that the disk is loaded by external pressure, followed by elastic unloading. The comparative analysis of the distributions of residual strains shows a significant deviation of the distribution resulting from the solutions based on the assumption of normal anisotropy from the distribution found using the actual orthotropic yield criterion. This finding shows that replacing the actual orthotropic yield criterion with the assumption of normal anisotropy may result in very inaccurate predictions. The type of anisotropy accepted is of practical importance because it usually results from such processes as drawing end extrusion with an axis of symmetry.

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“…A stress solution has been found in [31]. For the reason of readability, the main results of this solution are presented in this section.…”

Section: Stress Solutionmentioning

confidence: 99%

Section: Hill's Yield Criterion (Equation (3))mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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