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

ZHANG Guang; ZHANG Ke-shi; FENG Lu

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ZHANG Guang, ZHANG Ke-shi, FENG Lu. On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal[J]. Applied Mathematics and Mechanics, 2005, 26(1): 111-119.

Citation:

ZHANG Guang, ZHANG Ke-shi, FENG Lu. On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal[J]. Applied Mathematics and Mechanics, 2005, 26(1): 111-119.

Citation:

ZHANG Guang, ZHANG Ke-shi, FENG Lu. On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal[J]. Applied Mathematics and Mechanics, 2005, 26(1): 111-119.

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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;

Received Date: 2003-04-08
Rev Recd Date: 2004-09-17
Publish Date: 2005-01-15

Abstract

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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References(12)

References

[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.