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织构可调塑性本构模型标定及其应用

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陈贻平[1,2,3] 李荣彬[3] 杜雪[3]

[1]华中科技大学土木工程与力学学院,武汉430074 [2]华中科技大学材料成形与模具技术国家重点实验室,武汉430074 [3]香港理工大学工业及系统工程学系,香港红坳

固体力学学报
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国际标准刊号:ISSN 0254-7805
国内统一刊号:CN 42-1250

摘  要:

提出了利用率相关晶体塑性模型标定织相可调本构模型的求解步骤,得出了一组依赖于晶粒间相互作用假设而独立于具体板材织构的本构相关系数.以此为基础再结合板材织构系数所得出的本构模型系数可避免出现屈服面非外凸的情形.利用所提求解步骤对在不同热处理条件下产生不同织构的AL5052铝合金板的深拉成形过程进行了有限元模拟.结果再现了典型织构在板材成形过程中所出现的塑性各向异性,从而表明求解步骤的可行性.[著者文摘]

必须引入能描述材料塑性各向异性(初始的及塑性变形诱导的)的且具有相当精度的本构模型,文献中有几种不同的方法可以导出这类本构模型.通常的做法是用在应力空间描述的现象学屈服准则来描述材料的各向异性,而描述这一准则的各向异性系数则由相应的力学实验确定[i 10].以上模型仅在三维应力子空间有效并且要进行相关力学试验确定模型参数.为改进有限元模拟分析中的本构模型而采取的第二种方法是在分析模块中直接使用多晶体塑性模型¨1 j.其主要优点在于他能直接考虑金属产生各向异性的主要原因即晶体学织构,及其在成形过程中的不断演化.多晶集合体用每个积分点上几百个晶粒来进行模拟,可以在程序中对每个多晶集合体施加相应边界条件.若使用Taylor模型即假定每一集合体中应变率的均匀分布,则可以计算出应力、应变率在每一点上的变化及晶体学织构的演化.为了改进计算精度,已提出了多种不同的多晶体本构模型,但其中的计算量都相当大.因此必须尽可能作一些简化,如每个积分点上晶粒的个数(即晶粒方......
Acta Mechnica Solida Sinica

分 类 号:

O344.1

相关文章:

参考文献(17篇)  主题相关

[参考文献]

CALIBRATION OF TEXTURE-ADJUSTABLE STRAIN-RATE POTENTIAL AND ITS APPLICATION

Chen Yiping, Li Rongbin, Du Xue (1. School of Civil Engineering and Mechanics, Huahong University of Science and Technology , Wuhan ,430074;2. State Key Laboratory for Forming Simulation and Die and Mould Technology, HUST,Wuhan ,430074;3. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Horn, Kowloon, Hong Kong, China)

Abstract:

An accurate prediction of plastic anisotropy induced by initial texture in sheet metal forming operations depends on the constitutive models adopted. Models of engineering interest include both phenomenological formulation and crystal plasticity based on dislocation slip. In addition to the above two approaches that are commonly adopted in FE analysis, an alternative is available, which describes anisotropic behavior of polycrystalline sheet metals by an analytic yield function to keep the computing time as low as possible and also takes explicitly into account the crystallographic texture of the material to give a more precise description of plasticity anisotropy. However, the locus of such a yielding potential based on the rate-independent crystal plasticity may exhibit an unrealistic concave shape, which will make it impossible to obtain a convergent solution. To circumvent the difficulty, a detailed computation procedure is presented to calculate the constitutive coefficients based on rate-dependent crystal plasticity. The combination of the coefficients obtained with experimentally measured texture coefficients of an annealed FCC polycrystalline sheet metal will provide a complete constitutive characterization of the material. As an application of the calibrated model, the process of deep drawing by hemispherical punch is simulated, in which plastic anisotropy(earring) corresponding to typical texture type is observed , thus demonstrating the applicability of the coefficients found.[著者文摘]

Key words:

constitutive model, texture, FEM

收稿日期: 2005-12-26
修订日期: 2007-04-03

基金资助:

教育部留学回国人员科研启动基金及华中科技大学材料成形与模具技术国家重点实验室基金资助.

作者简介:

通讯作者.Tel:027—87540634,E—mail:ypchen88@mail.hust.edu.cn.

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