A direct approach to the evaluation of structural shakedown limit considering limited kinematic hardening and non-isothermal effect

Ma, Zhiyuan and Chen, Haofeng and Liu, Yinghua and Xuan, Fu-Zhen (2020) A direct approach to the evaluation of structural shakedown limit considering limited kinematic hardening and non-isothermal effect. European Journal of Mechanics - A/Solids, 79. 103877. ISSN 0997-7538

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Official URL: https://doi.org/10.1016/j.euromechsol.2019.103877

Abstract

This paper presents a novel direct method for the structural shakedown analysis considering limited kinematic hardening and non-isothermal effect. The Melan’s static shakedown theorem is extended to consider limited kinematic hardening material and implemented into the Linear Matching Method (LMM) shakedown module. Instead of using a specific kinematic hardening rule and an explicit back stress field, the general nonlinear hardening laws are considered by using a two-surface hardening model. A two-stage procedure is developed in the extended LMM algorithm, which can generate the limited hardening shakedown envelope and the unlimited hardening curve efficiently and accurately. Also, the material non-isothermal effect is considered during the computation process of the shakedown limit by proposing a temperature-dependent hardening factor, in place of a constant and fictitious one. To validate the extended LMM method, a numerical test on a thin cylinder pipe with temperature-independent material properties is performed, and the results match well with ones from literature. Then, a numerical study on a typical aero-engine turbine disk is conducted to investigate the influence of temperature-dependent material properties and operating conditions. Several shakedown curves considering kinematic hardening effect are derived and adequately discussed. As a result, the extended LMM shakedown module is proven to be a robust, efficient and versatile tool for practical industrial problems.

ORCID iDs

Ma, Zhiyuan, Chen, Haofeng

, Liu, Yinghua and Xuan, Fu-Zhen;

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Item metadata

Item type:	Article
ID code:	70229
Dates:	Date Event 29 February 2020 Published 16 October 2019 Published Online 13 October 2019 Accepted
Keywords:	direct method, shakedown analysis, limited kinematic hardening, temperature dependence, linear matching method, Mechanical engineering and machinery, Physics and Astronomy(all), Mechanics of Materials, Materials Science(all), Mathematical Physics, Mechanical Engineering
Subjects:	Technology > Mechanical engineering and machinery
Department:	Faculty of Engineering > Mechanical and Aerospace Engineering Strategic Research Themes > Ocean, Air and Space
Depositing user:	Pure Administrator
Date deposited:	22 Oct 2019 13:56
Last modified:	09 Apr 2021 03:07
Related URLs:	Scopus publication
URI:	https://strathprints.strath.ac.uk/id/eprint/70229

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