一种非经典晶体塑性本构模型及其应用

彭向和; 曾祥国; 范镜泓

一种非经典晶体塑性本构模型及其应用

重庆大学工程力学系, 重庆400044

基金项目: 教育部“跨世纪优秀人才培养计划”基金

详细信息

中图分类号: O344
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出版历程
- 收稿日期: 1997-05-05
- 修回日期: 1998-06-24
- 刊出日期: 1998-10-15

A Nonclassical Constitutive Model for Crystal Plasticity and Its Application

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P.R.China

摘要

摘要: 根据不可逆变形过程中材料微结构的储能特性,采用由弹簧和塑性阻尼器构成的简单机械模型建立了不采用屈服判据的单晶本构关系。在此基础上形成了与KBW自洽理论相应的多晶计算格式。计算格式中无需对滑移系的开动和滑移方向进行搜索,使计算过程大为简化。在多晶体分析中,提出了一种基于正20面体各面内取向随机分布单晶响应的高斯平均和在空间完全均匀分布的20个方向上算术平均的混合平均方案,与通常的纯高斯积分平均方案相比,在计算精度和效率上都有较大提高。用所发展的模型和算法分析了316不锈钢在具有代表性的路径下的循环塑性,得到了与实验相一致的结果。
- 晶体塑 /
- 本构关系 /
- 多晶堆积模型 /
- 非比例循环塑性
Abstract: A nonclassical constitutive description for a slip system is formulated by using a simple mechanical model consisting of a spring and a plastic dashpot-like block. The corresponding constitutive model for a single crystal and the analysis for polycrystalline response is proposed based on the KVW's self-consistent theory. The constitutive model contains no yield criterion, so the corresponding numerical analysis is greatly simplified because it involves no additional process to search for the activation of slip systems and slip direction. A mixed averaging approach is proposed to obtain the response of polycrystalline material, which consists of the Gaussian integral mean for the ω which varies continuously within each face of the isosahedron and the arithmetic mean for the spatially uniformly distributed twenty sets of θ and φ determined by the normal of each face of the isosahedron. The main features 316 stainless steel subjected to typical biaxial nonproportional cyclic strain paths are well described. Calculation also shows that the developed model and the corresponding analytical approach are of good accuracy and efficiency.
- crystal plasticity /
- constitutive relation /
- aggregation model /
- nonproportional cyclic plasticity

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参考文献(17)

[1]	G.I.Taylor,Plastic strain in metals,J.Inst.Metals,62(1938),307-324.
[2]	R.Hill,Generalized constitutive relations for incremental deformation of metals and crystals multiship,J.Mech.Phys.Solids,14(1966),95-102.
[3]	R.Hill and J.R.Rice,Constitutive analysis of elastic-plastic crystals at arbitrary strain,J.Mech. Phys.Solids,20(1972),401-413.
[4]	E.Schmid and W.Boas,Krist alpla stisitat,Springer-Verlag,Berlin(1950).
[5]	B.Budiansky and T.T.Wu,Theoretical prediction of plastic strain of polycrystals,Proc.4th US National Congr.Appl.Mech.(1962),1175-1185.
[6]	J.W.Hutchinson,Elastic-plastic behaviorof polycrystalline metals and composites,Proc.Roy. Soc.London Ser.A,(319)(1970),247-272.
[7]	G.J.Weng,Kinematic hardening rule in single crystals,Internat.J.Solids Structures,1(1979),861-875.
[8]	G.J.Weng,Dislocation theories of work hardening and yield surfaces of single crystals,Acta Mech.,37(3-4)(1980),217-228.
[9]	R.J.Asaro,Crystal plasticity,J.Appl.Mech.,50(4b)(1983),921-934.
[10]	J.L.Bassani,Single crystal hardenining,Appl.Mech.Rev.,43(5)(1990),320-327.
[11]	梁乃刚、刘洪秋、王自强,基于等效滑与潜在硬化机制的多晶金属亚宏观弹塑性模型,中国科学(A辑),25(8)(1995),858-866.
[12]	孙守光,非比例循环加载下的晶体塑性本构理论,清华大学博士学位论文(1992).
[13]	X.Peng and J.Fan,Anew numerical approach for nonclassical plasticity,Computers and Structures,47(2)(1993),313)320.
[14]	S.Murakami,M.Kawai,K.Aoki and Y.Ohmi,Temperature dependence of multiaxial non-proportional cyclic behaviorof type 31stainless steel,J.Engng.Mat.Tech.,111(1)(1989),32-39.
[15]	Y.Ohashi,E.Tanaka and M.Ooka,Plastic deformation behaviorof type 31stainless steel subjected to out-of-phase strain cycles,J.En gng.Mat.Tech.,107(4)(1985),286-292.
[16]	N.Ohno,Recent topics in constitutive modeling of cyclic plasticity and viscoplasticity,Appl.Mech. Rev.,43(11)(1990),283-295.
[17]	E.Tanaka,S.Murakami and M.Ooka,Effect of strain path shapes on nonproportional cyclic plasticity,J.Mech.Phys.Solids,33(6)(1985),559-575.