一种基于微观组织演化的率形式本构模型

材料工程与机械制造

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一种基于微观组织演化的率形式本构模型

刘宝胜, 郎利辉, 杨希英, 杜平梅, 蔡高参

北京航空航天大学机械工程及自动化学院, 北京 100191

收稿日期:2011-09-22 修回日期:2011-11-08 出版日期:2012-07-25 发布日期:2012-07-24
通讯作者: 郎利辉,Tel.: 010-82316821 E-mail: lang@buaa.edu.cn E-mail:lang@buaa.edu.cn
基金资助:
国家自然科学基金(50975014);中俄国际合作与交流项目NSFC-RFBR基金(51010166)

A Rate Dependent Constitutive Model Based on the Microstructure Evolution

LIU Baosheng, LANG Lihui, YANG Xiying, DU Pingmei, CAI Gaocan

School of Mechanical Science and Automation, Beihang University, Beijing 100191, China

Received:2011-09-22 Revised:2011-11-08 Online:2012-07-25 Published:2012-07-24
Supported by:
National Natural Science Foundation of China (50975014); Funds for International Cooperation and Exchange of the National Natural Science Foundation of China (Sino-Russia) (51010166)

摘要/Abstract

摘要： 为建立塑性变形中微观组织演化与宏观响应的关系,依据定义的率扩散势导出了考虑温度影响的率形式流动应力方程,修正了Chaboche非线性各向同性硬化准则以考虑位错密度演化对硬化的贡献,以位错密度为内变量建立了位错密度演化模型,提出了一种基于微观组织演化机理的率形式本构模型。以927℃钛合金Ti-6Al-4V热单拉实验数据为基础,通过遗传算法确定了模型材料常数。将计算结果与实验数据进行比较,最大应力误差在12%以内,最大晶粒尺寸误差在4%以内,证明了模型的有效性。

关键词: 本构模型, 率相关, 位错密度, 演化, 遗传算法

Abstract: For establishing the relation of microstructure evolution and macro-performance in the plastic deformation, a rate dependent flow stress equation is derived based on the rate diffusion potential density which takes into consideration the influence of temperature. The Chaboche’s nonlinear isotropic hardening criterion is modified to consider the influence of dislocation density on hardening. The evolution of dislocation density is modeled by using dislocation density as the internal state variable. A rate dependent constitutive model is proposed based on the mechanism of microstructure evolution. The material constants in the model are determined based on the single tension experimental data of Ti-6Al-4V by using the genetic algorithms. The comparison of calculation results and experimental data shows that the maximum errors of stress and grain size do not exceed 12% and 4% respectively. Thus, the validity of the model is verified.

Key words: constitutive models, rate dependence, dislocation density, evolution, genetic algorithms

中图分类号:

V260.1
TG301

刘宝胜, 郎利辉, 杨希英, 杜平梅, 蔡高参. 一种基于微观组织演化的率形式本构模型[J]. 航空学报, 2012, 33(7): 1329-1335.

LIU Baosheng, LANG Lihui, YANG Xiying, DU Pingmei, CAI Gaocan. A Rate Dependent Constitutive Model Based on the Microstructure Evolution[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(7): 1329-1335.

参考文献

[1] Zhou M, Dunne F P E. Mechanisms-based constitutive equations for the superplastic behavior of a titanium alloy. The Journal of Strain Analysis for Engineering Design, 1996, 31(3): 187-196.
[2] Dunne F P E. Inhomogeneity of microstructure in superplasticity and its effect on ductility. International Journal of Plasticity, 1998, 14(4-5): 413-433.
[3] Lin J, Yang J B. GA-based multiple objective optimization for determining viscoplastic constitutive equations for superplastic alloys. International Journal of Plasticity, 1999, 15(11): 1181-1196.
[4] Lin J, Ho K C, Dean T A. An integrated process for modelling of precipitation hardening and springback in creep age-forming. International Journal of Machine Tools & Manufacture, 2006, 46(11): 1266-1270.
[5] Li X L. Multi-scale modelling and FE simulation during high temperature deformation of the titanium alloys. Xi’an: School of Materials Science and Engineering, Northwestern Polytechnical University, 2005. (in Chinese) 李晓丽. 钛合金高温变形时跨层次模型及数值模拟. 西安: 西北工业大学材料学院, 2005.
[6] Xiong A M. Coupled simulation of defomation-heat transfer-microstruture evolution for forging process of titanium alloys. Xi’an:School of Materials Science and Engineering, Northwestern Polytechnical University, 2003. (in Chinese) 熊爱明. 钛合金锻造过程变形-传热-微观组织演化耦合模拟. 西安: 西北工业大学材料学院, 2003.
[7] Yu W X, Li M Q, Luo J. Effect of processing parameters on microstructure and mechanical properties in high temperature deformation of Ti-6Al-4V alloy. Rare Metal Materials and Engineering, 2009, 38(1): 19-24.
[8] Luo J, Li M Q, Li X L, et al. Constitutive model for high temperature deformation of titanium alloys using internal state variables. Mechanics of Materials, 2010, 42(2): 157-165.
[9] Wang X T. Constitutive modeling and computation of high temperature viscoplastic deformation of β titanium alloy. Harbin:School of Materials Science and Engineering, Harbin Institute of Technology, 2009. (in Chinese) 王宵腾.β型钛合金高温粘塑性本构建模及数值计算. 哈尔滨: 哈尔滨工业大学材料科学与工程学院, 2009.
[10] Houlsby G T, Puzrin A M. Principles of hyperplasticty. London: Springer London Press, 2007: 87-98.
[11] Chaboche J L, Nouailhas D. A unified constitutive model for cyclic viscoplasticity and its applications to various stainless steels. Journal of Engineering Materials and Technology, 1989, 111(4): 424-430.
[12] Lin J, Liu Y. A set of unified constitutive equations for modelling microstructure evolution in hot deformation. Journal of Materials Processing Technology, 2003, 143-144: 281-285.
[13] Mecking H, Kocks U F. Kinetics of flow and strain-hardening. Acta Metallurgica, 1981, 29(11): 1865-1875.
[14] Picu R C, Majorell A. Mechanical behavior of Ti-6Al-4V at high and moderate temperatures-part II: constitutive modeling. Materials Science and Engineering A, 2002, 326(2): 306-316.
[15] Christ B W, Smith G V. Comparison of the hall-petch parameters of zone-refined iron determined by the grain size and extrapolation methods. Acta Metallurgica, 1967, 15(5): 809-816.
[16] Chen S H. Titanium alloy constitutive modeling and application based on microstructure evolution. Xi’an: School of Materials Science and Engineering, Northwestern Polytechnical University, 2004. (in Chinese) 陈胜晖. 基于微观组织演化的钛合金本构关系模型及应用. 西安: 西北工业大学材料学院, 2004.
[17] Shewmon P G. Transformations in metals. New York: McGraw-Hill, 1969: 100-200.

E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

一种基于微观组织演化的率形式本构模型

A Rate Dependent Constitutive Model Based on the Microstructure Evolution

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