一种考虑平均应力松弛的多级硬化本构模型
A multi-stage hardening constitutive model considering mean stress relaxation
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摘要: 在无屈服条件的粘塑性本构理论框架内, 提出了关于内变量和内应力以及材料具有不同硬化趋势的假设, 并在Bodner-Partom模型的基础上, 发展了新的内变量演化模型, 即双级硬化模型(Two StagesHardening, TSH模型)和多级硬化模型(Multi-Stages Hardening, MSH模型), 提高了Bodner-Partom模型对同时模拟应变率相关单调拉伸和循环特性的精度, 特别是增强了对Ratcheting的模拟能力, 使得无屈服条件的本构方程以较高精度模拟Ratcheting成为可能.并将TSH模型和MSH模型用于Udimet720Li材料高温非弹性变形特征的描述, TSH模型改善了B-P模型在模拟单调拉伸和循环硬化方面的精度, 但MSH模型在描述非对称循环载荷下平均应力松弛和Ratcheting应变方面具有更强的能力.Abstract: In the framework of visco-plastic constitutive theory without yield condition,some assumptions dealing with internal variables,internal stress and different potential hardening of material were used to develop new evolutionary equation of internal variables.Based on the Bodner-Partom model,a two-stage hardening (TSH) model and a multi-stage hardening(MSH) model were established to improve the accuracy of modeling strain rate-dependent tension and cyclic visco-plasticity,especially for ratcheting.The TSH model improves the precision of modeling monotonic tension and cyclic hardening,while the MSH model has more capability of modeling cyclic mean stress relaxation and ratcheting under asymmetric loading condition.
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Key words:
- aerospace propulsion system /
- constitutive theory /
- visco-plasticity /
- internal variable /
- hardening /
- ratcheting
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[1] 张克实,Wolfgang B.Chaboche热粘塑性损伤模型的应用研究[J].航空动力学报,2002,17(5):615-622.ZHANG Keshi.Wolfgan B.Application of Chaboche thermal viscoplastic model[J].Journal of Aerospace Power,2002,17(5):615-622. [2] 施惠基,刘国,王凡,等.应变控制的热机械疲劳行为的数值模拟[J].固体力学学报,2003,24(3):258-266.SHI Huiji,LIU Guo,WANG Fan,et al.Numverical simulation of thermomechanical fatigue behavior under strain controlled condition[J].ACTA Mechanica Solida Sinica,2003,24(3):258-266. [3] 石多奇,杨晓光,王延荣.Udimet720Li高温变形特性的Chaboche型本构建模研究[J].北京航空航天大学学报,2004,30(8):727-731.SHI Duoqi,YANG Xiaoguang,WANG Yanrong.Viscoplastic constitutive modeling of inelastic deformation of Udimet 720Li at high temperature[J].Journal of Beijing University of Aeronautics and Astronautics,2004,30(8):727-731. [4] Chaboche J L.Viscoplastic constitutive equations for the description of cyclic and anisotropic behavior of metals[J].Bull.De L'Acad.Polonaise des Sci.,1977,25:33-42. [5] Chaboche J L,Dang-Van K,Cordier G.Modelizationg of the strain memory effect on the cyclic hardening of 316 stainless steel[A].Proceedings of the 5th International Conference on SmiRT[C].Div.L,Berlin,Germany,1979. [6] Chaboche J L.Constitutive equations for cyclic plasticity and cyclic viscoplasticity[J].Int.J.Plasticity,1989,5:247-302. [7] Bodner S R,Partom Y.A large deformation elastic-viscoplastic analysis of a thick-walled spherical shell[J].ASME J.Appl.Mech,1972,39:751-757. [8] Bodner S R,Partom Y.Constitutive equations for elastic-viscoplastic strain hardening materials[J].ASME J.Appl.Mech,1975,42(1):385-389. [9] Stouffer D C,Bodner S R.A constitutive model for the deformation induced anisotropic plastic flow of metals[J].Int.J.Engng.Sci.,1979,17:757-764. [10] Rowley M A,Thornton E A.Constitutive modeling of the visco-plastic response of Hastelloy-X and aluminum alloy 8009[J].Journal of Engineering Materials and Technology,1996,118:19-27. [11] Miller A.An inelastic constitutive model for monotonic,cyclic and creep deformation:part Ⅰand,Ⅱ[J].ASME J.Eng.Mater.and Tech.,1978,98:97-105(Ⅰ),106-113(Ⅱ). [12] Bari S,Hassan T.Anatomy of coupled constitutive models for ratcheting simulation[J].Int.J.Plasticity,2000,16:381-409. [13] 石多奇,杨晓光,王延荣,等.Udimet 720Li材料B-P型粘塑性本构建模研究[J],北京航空航天大学学报,2003,29(7):627-630.SHI Duoqi,YANG Xiaoguang,WANG Yanrong,et al.B-P viscoplastic constitutive modeling of Udimet 720Li[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(7):627-630. [14] SHI Duoqi,YANG Xiaoguang,WANG Yanrong.Constitutive modeling of hardening and creep response of a nickel-based super-alloy Udimet 720Li[J].Chinese Journal of Aeronautics,2003,16(3):187-192. [15] SHI Duoqi,YANG Xiaoguang,WANG Yanrong.Improvement on the modeling of rate-dependent plasticity and cyclic hardening by Bodner-Partom model[J].Chinese Journal of Aeronautic,2005,18(1):83-89. [16] Eftis J.Comparisons between the modified chaboche and bodner-partom viscoplastic constitutive theories at high temperature[J].International Journal of Plasticity,1989,5:1-27. [17] 宋迎东,高德平.评述B-P统一弹-粘塑性本构模型[J].南京航空航天大学学报,1997,29(5):593-599.SONG Yingdong,GAO Deping.A review of B-P unified elastic viscoplastic constitutive model[J].Journal of Nanjing University of Aeronautics and Astronautics,1997,29(5):593-599. [18] Mendlson A.Plasticity:theory and application[M].Florida,Malabar:Robert E.Krieger Publishing Company,1983. [19] FRANCOS D,PINEAU A,ZAOUI A.Mechanical behaviour of materials,volumeⅠ:Elasticity and plasticity[M].Dordrecht,The Netherlands:Kluwer Academic Publishers,1993. [20] FUNG Y C,TONG P.Classical and computational solid mechanics[M].Singerpore:World Scientific Publishing Co.Pte.Ltd,2001. [21] OHNO N,WANG J D.Kinematic hardening rules with critical state of dynamic recovery,partⅠ:formulation and basic features for ratcheting behavior[J].Int.J.Plasticity,1993,9:375-390.
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