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

Zhiyuan Ma, Haofeng Chen, Yinghua Liu, Fu-Zhen Xuan

Research output: Contribution to journalArticle

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.
LanguageEnglish
Article number103877
Number of pages23
JournalEuropean Journal of Mechanics - A/Solids
Volume79
Early online date16 Oct 2019
DOIs
Publication statusE-pub ahead of print - 16 Oct 2019

Fingerprint

hardening
Hardening
Kinematics
kinematics
evaluation
modules
Materials properties
hardening (materials)
turbine engines
curves
structural analysis
stress distribution
temperature
Structural analysis
Temperature
envelopes
theorems
Turbines
Pipe

Keywords

  • direct method
  • shakedown analysis
  • limited kinematic hardening
  • temperature dependence
  • linear matching method

Cite this

@article{6cee73ec5ede4acfb26aea333adeecee,
title = "A direct approach to the evaluation of structural shakedown limit considering limited kinematic hardening and non-isothermal effect",
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.",
keywords = "direct method, shakedown analysis, limited kinematic hardening, temperature dependence, linear matching method",
author = "Zhiyuan Ma and Haofeng Chen and Yinghua Liu and Fu-Zhen Xuan",
year = "2019",
month = "10",
day = "16",
doi = "10.1016/j.euromechsol.2019.103877",
language = "English",
volume = "79",
journal = "European Journal of Mechanics - A/Solids",
issn = "0997-7538",

}

TY - JOUR

T1 - A direct approach to the evaluation of structural shakedown limit considering limited kinematic hardening and non-isothermal effect

AU - Ma, Zhiyuan

AU - Chen, Haofeng

AU - Liu, Yinghua

AU - Xuan, Fu-Zhen

PY - 2019/10/16

Y1 - 2019/10/16

N2 - 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.

AB - 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.

KW - direct method

KW - shakedown analysis

KW - limited kinematic hardening

KW - temperature dependence

KW - linear matching method

UR - http://www.scopus.com/inward/record.url?scp=85073714740&partnerID=8YFLogxK

U2 - 10.1016/j.euromechsol.2019.103877

DO - 10.1016/j.euromechsol.2019.103877

M3 - Article

VL - 79

JO - European Journal of Mechanics - A/Solids

T2 - European Journal of Mechanics - A/Solids

JF - European Journal of Mechanics - A/Solids

SN - 0997-7538

M1 - 103877

ER -