Elastoplastic Damage Analysis of Powder Metallurgy Superalloy Based on the Cosserat Continuum Theory

ZHANG Cheng-cheng; YANG Dong-sheng; REN Yuan; ZHANG Sheng

doi:10.3879/j.issn.1000-0887.2015.08.004

Volume 36 Issue 8

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ZHANG Cheng-cheng, YANG Dong-sheng, REN Yuan, ZHANG Sheng. Elastoplastic Damage Analysis of Powder Metallurgy Superalloy Based on the Cosserat Continuum Theory[J]. Applied Mathematics and Mechanics, 2015, 36(8): 821-832. doi: 10.3879/j.issn.1000-0887.2015.08.004

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Elastoplastic Damage Analysis of Powder Metallurgy Superalloy Based on the Cosserat Continuum Theory

doi: 10.3879/j.issn.1000-0887.2015.08.004

¹AVIC Commercial Aircraft Engine Co., Ltd., Shanghai 201108, P.R.China;²State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology); Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China(11232003;91315302);The National Basic Research Program of China (973 Program)(2010CB832704)

Received Date: 2015-03-18
Rev Recd Date: 2015-06-26
Publish Date: 2015-08-15

Abstract

Abstract

The development of the powder metallurgy (PM) superalloy applied in turbine discs of high thrust-weight ratio aeroengines was reviewed. Based on the Cosserat continuum theory, the elastoplastic damage model for the PM superalloy was developed in which the microscopic properties were modeled with the characteristic lengths of the material. Furthermore, the mesh dependency of the localized bands in the analysis of softening problems was eliminated in the present model. For the softening problems, massive iterations were usually needed with the classical elastoplastic methods and may not converge in some cases. Based on the parametric variational principle, the original nonlinear problem was transferred to a complementary problem, then the efficiency and convergence of the solution were greatly improved. Finally, several numerical examples demonstrate the validity of the proposed method.
- elastoplastic damage,
- microscopic structure,
- Cosserat continuum theory,
- parametric variational principle

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References(20)

References

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