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Article

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

1
Metal Forming Department, Samara National Research University, 34 Moskovskoye shosse, 334086 Samara, Russia
2
Samara Federal Research Center of the Russian Academy of Sciences, 3A Studencheskiy Pereulok, 443001 Samara, Russia
3
School of Mechanical Engineering and Automation, Beihang University, 37 Xueyuan Road, Beijing 100191, China
4
Ishlinsky Institute for Problems in Mechanics, 101-1 Prospect Vernadskogo, Moscow 119526, Russia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(11), 1834; https://doi.org/10.3390/sym12111834
Received: 1 October 2020 / Revised: 21 October 2020 / Accepted: 28 October 2020 / Published: 5 November 2020
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. View Full-Text
Keywords: disk; residual stress; residual strain; normal anisotropy; yield criteria disk; residual stress; residual strain; normal anisotropy; yield criteria
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MDPI and ACS Style

Erisov, Y.; Surudin, S.; Alexandrov, S.; Lang, L. 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. Symmetry 2020, 12, 1834. https://doi.org/10.3390/sym12111834

AMA Style

Erisov Y, Surudin S, Alexandrov S, Lang L. 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. Symmetry. 2020; 12(11):1834. https://doi.org/10.3390/sym12111834

Chicago/Turabian Style

Erisov, Yaroslav, Sergei Surudin, Sergei Alexandrov, and Lihui Lang. 2020. "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" Symmetry 12, no. 11: 1834. https://doi.org/10.3390/sym12111834

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