一种基于无屈服概念的粘塑性模型
A Viscoplastic Model Based on No-Yierd-Surface Concept
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摘要: 结合位错运动的热激活理论,基于无屈服概念,提出了一组描述金属材料变形规律的弹/粘塑性本构方程.方程从总体上考虑了应变率、应变历史、应率变历史、硬化和温度等效应,具有较强的物理基础.恒温单轴条件下商业纯钛的力学性能的理论预测与实验结果相比较,存在着良好的一致性.Abstract: The elastic/viscoplastic constitutive equation which describes deformation law of metal materials was suggested based on no-yield-surface concept and thermal activation theory of dislocation.The equation which takes account of effects of strain-rate, strain history, strain-rate history, hardening and temperature has stronger physical basis.Comparison of the theoretical prediction with experimental results of mechanical behaviours of Ti under conditions of uniaxial stress and room temperature shows good consistency.
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[1] 杨绪灿、杨桂通、徐秉业编著,《粘塑性力学》,中国铁道出版社(1985). [2] Bodncr, S.R.and Y.Partom, Constitutive equaions for elastic-viscoplastiv strain-hardening materials, JAM, 42,June (1975), 385-389. [3] 周光泉,关于无屈服面粘塑性理论,爆炸与冲击,3, 4 (1983), 10, 25-34. [4] Zhou, G, Q., H, Ghoneim and Y-Chin, Numerical experiments with two-dimen-sional elastic-viscoplastic bars, Int.Journal of Computer and Sfruefure, 18, 4 (198.4),591-601. [5] H rigid, J.,Las Dislocatiotts,Gaethier-Villars (1956),(中译本,《位错》,科学出版社) [6] Granato,A.V.,K, Lücke,J, Schliyt and L.J, Teuionicc,T, Appl.Phys.,35(1964),2732-2745. [7] Yu Cheu,Power-formula viscoplasticity,its modification and some applications, J,Eng, Mater, Tech.,106,4(1984),383-387. -
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