双轴拉伸应力下后继屈服面的演化研究

固体力学与飞行器总体设计

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双轴拉伸应力下后继屈服面的演化研究

陈岑¹, 刘芳², 付强³, 洪友士¹

1. 中国科学院力学研究所非线性国家重点实验室, 北京 100190;
2. 武汉理工大学交通学院, 湖北武汉 430063;
3. 中国轻型燃气轮机开发中心, 北京 100009

收稿日期:2011-12-28 修回日期:2012-02-08 出版日期:2012-12-25 发布日期:2012-12-24
通讯作者: 洪友士 E-mail:hongys@imech.ac.cn
作者简介:陈岑女, 博士研究生。主要研究方向: 材料弹塑性损伤本构关系及其应用。Tel: 010-82543962 E-mail: chencen@lnm.imech.ac.cn
基金资助:
国家自然科学基金(11021262)

Investigation of Subsequent Yield Surface Evolution Under Biaxial Tension

CHEN Cen¹, LIU Fang², FU Qiang³, HONG Youshi¹

1. LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Transportation, Wuhan University of Technology, Wuhan 430063, China;
3. China National Light Weight Gas Turbine Development Center, Beijing 100009, China

Received:2011-12-28 Revised:2012-02-08 Online:2012-12-25 Published:2012-12-24
Supported by:
Natural Science Foundation of China (11021262)

摘要/Abstract

摘要：

屈服面的位置和形状直接影响着材料塑性应变的确定。针对双轴拉伸应力下金属材料的塑性行为,以一种弹塑性损伤本构理论为基础,研究了后继屈服面在拉-拉应力空间中的演化。考虑了有限变形效应和耦合硬化效应,给出了屈服面的确定方法,并预测了拉-拉应力空间中的初始屈服面(IYS)和后继屈服面,预测结果显示本文提出的理论模型能一致描述出后继屈服面演化中的前端尖点效应、尾部包氏效应、膨胀/收缩以及移动和畸变。针对两种加工硬化材料(Al 6061-T 6511和Annealed 1100 Al)承受轴向拉伸、环向内压、轴向-环向混合比例加载时的后继屈服面,将模型预测的结果与文献中的实验结果进行对比。结果表明,所提模型能较好地预测后继屈服面的演化,并能分析其物理机制,为后继屈服面的演化研究提供了一种可行的方法。

关键词: 构元组集模型, 后继屈服面演化, 耦合硬化效应, 尖点效应, 包氏效应

Abstract:

The shape and position of the yield surface of a metallic material have a direct bearing on the determination of its plastic deformation. In this paper, the evolution of the yield surface in a tension-tension stress space is investigated based on the elasto-plastic damage constitutive theory as an endeavor to understand the plastic behavior of metallic materials under biaxial tension. The initial yield surface (IYS) and subsequent yield surfaces are predicted with the consideration of the finite deformation effect and the mixed hardening effect, which shows the vertex effect in the forward part, Bauschinger effect in the rear part, and expansion/contraction, translation and distortion of the subsequent surfaces. For a low work hardening aluminum alloy (Al 6061-T 6511) and a high work hardening aluminum alloy (annealed 1100 Al) under axial, hoop, and combined axial and hoop loading, the theoretical prediction is favorably compared with the experimental results in the literature. The physical mechanism of the evolution of subsequent yield surfaces is elucidated. It provides a feasible method to study the evolution of subsequent yield surfaces.

Key words: component assembling model, evolution of subsequent yield surfaces, mixed hardening effect, vertex effect, Bauschinger effect

中图分类号:

V219
O344.1

陈岑, 刘芳, 付强, 洪友士. 双轴拉伸应力下后继屈服面的演化研究[J]. 航空学报, 2012, 33(12): 2230-2239.

CHEN Cen, LIU Fang, FU Qiang, HONG Youshi. Investigation of Subsequent Yield Surface Evolution Under Biaxial Tension[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(12): 2230-2239.

参考文献

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E-mail：hkxb@buaa.edu.cn

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双轴拉伸应力下后继屈服面的演化研究

Investigation of Subsequent Yield Surface Evolution Under Biaxial Tension

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