LIU Ai-qun, HUANG Xi-cheng. Identification of High-Strain-Rate Material Parameters in Dynamic Johnson-Cook Constitutive Model[J]. Applied Mathematics and Mechanics, 2014, 35(2): 219-225. doi: 10.3879/j.issn.1000-0887.2014.02.010
 Citation: LIU Ai-qun, HUANG Xi-cheng. Identification of High-Strain-Rate Material Parameters in Dynamic Johnson-Cook Constitutive Model[J]. Applied Mathematics and Mechanics, 2014, 35(2): 219-225.

# Identification of High-Strain-Rate Material Parameters in Dynamic Johnson-Cook Constitutive Model

##### doi: 10.3879/j.issn.1000-0887.2014.02.010
• Rev Recd Date: 2013-12-09
• Publish Date: 2014-02-15
• The dynamic Johnson-Cook constitutive model is widely used in numerical simulation of materials under dynamic loading. This model is very important in impact dynamics. The method of determining the parameters of heat softening and strain-strengthening in the Johnson- Cook model was proposed based on the strain-hardening parameters obtained from the material experiments including quasi-static uniaxial tension and uniaxial torsion. The material parameters were identified with the optimization algorithm, in which the parameter space was solved through iteration and the optimal point was found to minimize the difference between the model prediction and the experimental data. In the adiabatic heating case, the determination method of the Johnson-Cook model parameter m was demonstrated.
•  [1] Johnson G R, Cook W H. A constitutive model and data for metals subjected to large strains, high strain-rates and high temperatures[C]//The Seventh Int Nat Symposium on Ballistics,1983. [2] Bridgman P W. Studies in Large Plastic Flow and Fracture [M]. Massachusetts: Harvard University Press, Cambridge, 1964. [3] 郭伟国. 一种新型奥氏体不锈钢的塑性流变行为研究[J]. 西北工业大学学报, 2001,19(3): 476-479.(GUO Wei-guo. Plastic flow behavior of a new austenitic stainless steel AL6-XN under different strain rates and temperatures[J]. Journal of Northwestern Polytechnical University,2001,19(3): 476-479.(in Chinese)) [4] 刘盼萍, 尹燕, 常列珍, 薛勇. 正火态50SiMnVB钢Johnson-Cook本构方程的建立[J]. 兵器材料科学与工程, 2009,32(1): 45-49.(LIU Pan-ping, YIN Yan, CHANG Lie-zhen, XUE Yong. Establishing of Johnson-Cook constitutive equation for normalized steel 50SiMnVB[J]. Ordnance Material Science and Engineering,2009,32(1): 45-49.(in Chinese)) [5] Mohrmann R. Automated identification and calculation of the parameters of nonlinear material models[C]//Symposium on Field Analyses for Determination of Material Parameters—Experimental and Numerical Aspects.Solid Mechanics and Its Applications,2003,109: 113-122. [6] Hestenes M R. Conjugate direction methods in optimization[J]. Lecture Notes in Control and Information Sciences,1978,6: 8-27. [7] Aoki S, Amaya K, Noguchi T, Stahle P, Sundin K G. Identification of elastic/visco-plastic material constants under impact loading[C]//Symposium on Field Analyses for Determination of Material Parameters—Experimental and Numerical Aspects. Solid Mechanics and Its Applications,2003,109: 63-80. [8] Gavrus A, Caestecker P, Ragneau E. Dynamic compression test analysis using an inverse method[C]//EUROMECH'2001, Cachan, 2001: 24-27. [9] Gavrus A, Caestecker P, Ragneau E, Davoodi B. Analysis of the dynamic SHPB test using the finite element simulation[J]. Journal de Physique IV,2003,110(1): 353-358. [10] MacDonald R A, MacDonald W M. Thermodynamic properties of fcc metals at high temperatures[J]. Physical Review B,1981,24(4): 1715-1724.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142