| 基于Cosserat连续体理论的粉末高温合金弹塑性损伤分析 |
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| 引用本文： | 张成成,杨东生,任远,张盛. 基于Cosserat连续体理论的粉末高温合金弹塑性损伤分析[J]. 应用数学和力学, 2015, 36(8): 821-832. DOI: 10.3879/j.issn.1000-0887.2015.08.004 |
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| 作者姓名： | 张成成 杨东生 任远 张盛 |
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| 作者单位： | 1中航商用航空发动机有限责任公司, 上海 201108;2工业装备结构分析国家重点实验室(大连理工大学);大连理工大学 运载工程与力学学部 工程力学系, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(11232003；91315302)；国家重点基础研究发展计划(973计划)(2010CB832704)；111引智计划(B08014)；教育部博士点基金(20130041110050)；上海科委科研计划项目(13DJ1400200) |
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| 摘 要： | 回顾了航空发动机涡轮盘粉末高温合金材料的发展及研究方法，基于Cosserat连续体理论，建立了粉末高温合金材料的弹塑性损伤模型，可通过特征长度考虑材料的微结构特征，并在模拟软化问题时消除局部化带的网格依赖性.在软化问题中，经典弹塑性理论在计算时需要较多迭代，有时甚至不能收敛.该文基于参变量变分原理，把原非线性问题转化为互补问题来求解，可大大提高求解效率和收敛性.最后通过数值算例验证了本文提出方法的有效性.
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| 关 键 词： | 弹塑性损伤 微结构特征 Cosserat连续体理论 参变量变分原理 |
| 收稿时间： | 2015-03-18 |
Elastoplastic Damage Analysis of Powder Metallurgy Superalloy Based on the Cosserat Continuum Theory |
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| Affiliation: | 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 |
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| 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. |
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