率相关晶体塑性模型的塑性各向异性分析

张光; 张克实; 冯露

率相关晶体塑性模型的塑性各向异性分析

1.
西北工业大学工程力学系,西安 710072;2.上海交通大学建工学院工程力学系,上海 200240

基金项目: 国家自然科学基金资助项目(50371070);航空科学基金资助项目(01C53015)

详细信息

作者简介:
张光(1963- ),男,江西南昌人,副教授,主要从事材料非弹性力学行为的研究(联系人.Tel:+86-29-88493431-212,Fax:+86-29-88491000;E-mail:nwpuzg@163.com).

中图分类号: O334；TG113.25
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出版历程
- 收稿日期: 2003-04-08
- 修回日期: 2004-09-17
- 刊出日期: 2005-01-15

On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal

1.
Department of Applied Mechanics, Northwestern Polytechnical University, Xi'an, 710072, P. R. China;

摘要

摘要: 在Sarma和Zacharia的工作基础上，改进了单晶晶体弹粘塑性本构模型的积分算法，并采用改进的欧拉法结合迭代方法求解，特点是稳定性好计算效率较高．然后用上述模型及算法研究了：1）在单向拉伸和平面应变压缩变形下单晶塑性各向异性的特点；2）晶体模型中的主要材料参数（应变率敏感指数m和潜硬化比率q）和加载应变率对单晶塑性各向异性的影响；3）沿不同的晶体方向加载对滑移系启动的影响．
- 本构模型 /
- 晶体塑性 /
- 各向异性
Abstract: An algorithm for single crystals was developed and implemented to simulate plastic anisotropy using a rate-dependent slip model.The proposed procedure was a slightly modified form of single crystal constitutive model of Sarma and Zacharia.Modified Euler method,together with New ton-Raphson method was used to integrate this equation which was stable and efficient.The model together with the developed algorithm was used to study three problems.First,plastic anisotropy was examined by simulating the crystal deformation in tension and plane strain compression respectively.Secondly,the orientation effect of some material parameters in the model and applied strain rate on plastic anisotropy for single crystal also is investigated.Thirdly,the influence of loading direction on the active slip system was discussed.
- constitutive behavior /
- crystal plasticity /
- anisotropy

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参考文献(12)

[1]	Taylor G I,Elam C F.The plastic extension and fracture of aluminum crystals[J].Proc Roy Soc Lond,1925,108(1):28—51. doi: 10.1098/rspa.1925.0057
[2]	Hill R,Rice J R.Constitutive analysis of elastic-plastic crystals at arbitrary strain[J].J Mech Phys Solids,1972,20(6):401—413. doi: 10.1016/0022-5096(72)90017-8
[3]	Peirce D,Asaro R J,Needleman A.Material rate sensitivity and localized deformation in crystalline solids[J].Acta Metall, 1983,31(12):1951—1976. doi: 10.1016/0001-6160(83)90014-7
[4]	Kalidindi S R,B.ronkhorst C A,Anand L. Crystallographic texture evolution in bulk deformation processing of FCC metals[J].J Mech Phys Solids, 1992,40(3):537—569. doi: 10.1016/0022-5096(92)80003-9
[5]	Steinmann P,Stein E. On the numerical treatment and analysis of finite deformation ductile single crystal[J]. Comput Methods Appl Mech Engre, 1996,129(3):235—254. doi: 10.1016/0045-7825(95)00913-2
[6]	Maniatty A M, Dawson P R,Lee Y S.A time integration algorithm for elasto-viscoplastic cubic crystals applied to modeling polycrystalline deformation[J].Int J Numer Methods Engrg, 1992,35(10):1565—1588. doi: 10.1002/nme.1620350803
[7]	Rashid M M,Nemat-Nasser S. A constitutive algorithm for rate dependent crystal plasticity[J].Comput Methods Appl Mech Engre,1990,94(2):201—228.
[8]	Mathur K K,Dawson P R. On modeling the development of crystallographic texture in bulk forming processes[J].Int J Plast,1989,5(1):69—74.
[9]	FENG Lu, ZHANG Ke-shi, ZHANG Guang,et al.Anisotropic damage model under continuum slip crystal plasticity theory for single crystals[J].International Journal of Solids and Structures,2002,39(20):5279—5293. doi: 10.1016/S0020-7683(02)00409-2
[10]	Lee E H.Elastic-plastic deformation at finite strains[J]. J Appl Mech,1969,36(1):1—6. doi: 10.1115/1.3564580
[11]	Sarma G B，Zacharia T. Integration algorithm for modeling the elasto-viscoplastic response of polycrystalline materials[J].J Mech Phys Solids, 1999,47(6):1219—1238. doi: 10.1016/S0022-5096(98)00105-7
[12]	聂铁军. 数值计算方法[M]. 西安：西北工业大学出版社，1990.

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率相关晶体塑性模型的塑性各向异性分析

作者简介:
张光(1963- ),男,江西南昌人,副教授,主要从事材料非弹性力学行为的研究(联系人.Tel:+86-29-88493431-212,Fax:+86-29-88491000;E-mail:nwpuzg@163.com).

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On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal

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留言板

率相关晶体塑性模型的塑性各向异性分析

作者简介: 张光(1963- ),男,江西南昌人,副教授,主要从事材料非弹性力学行为的研究(联系人.Tel:+86-29-88493431-212,Fax:+86-29-88491000;E-mail:nwpuzg@163.com).

计量

出版历程

On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal

计量

出版历程

目录

作者简介:
张光(1963- ),男,江西南昌人,副教授,主要从事材料非弹性力学行为的研究(联系人.Tel:+86-29-88493431-212,Fax:+86-29-88491000;E-mail:nwpuzg@163.com).