基于高速冲击异质惯性场的金属各向异性动态力学属性虚场表征法

doi:10.7527/S1000-6893.2023.29221

Abstract

Abstract:

High-strength lightweight alloy sheets. such as 2024 wrought aluminum alloy sheets， are widely applied in aeronautic and astronautic industries as essential structural materials. The anisotropic plasticity induced by the rolling process and the strain rate sensitivity under impact loadings significantly affect their dynamic deformation behaviors， which make it difficult to accurately predict the material response during complex forming process or under extreme service conditions. Currently， the characterization of dynamic mechanical properties of materials mainly relies on the classical split Hopkinson pressure bar. It is based on the assumption of uniform deformation and one-dimensional stress wave propagation， which lead to the shortcomings of large number of required tests for comprehensive anisotropic plasticity， difficulty in characterizing coupling effect as well as in extracting parameters at early yielding stage. In this paper， a new method for the simultaneous characterization of the anisotropic and strain rate-related plasticity parameters is proposed based on the heterogeneous inertial fields obtained from the highspeed impact of a nonuniform specimen and the virtual fields method. Specifically， by designing and conducting the virtual highspeed impact test of a double-notched specimen， the comprehensive stress-strain state of the specimen can be manipulated and the simulated heterogeneous strain， strain rate and acceleration field data at the inertial acceleration stage obtained. Then， the dynamic constitutive parameter identification algorithm is developed based on the principle of virtual work， using which the multiple anisotropic and strain rate-related dynamic plasticity parameters of the specimen are accurately characterized at the same time from the single virtual heterogeneous impact test. Also， the influence of the state variables such as the boundary conditions， impact loading modes on the identification accuracy is analyzed. The proposed method shows its merits in minimizing the required tests for identifying such comprehensive constitutive models and releasing the limitations suffered by conventional dynamic testing methods.

Key words: dynamic mechanical properties characterization, virtual fields method, anisotropic plasticity, strain rate sensitivity, inertial impact test

CLC Number:

V252

Jiawei FU, Zefei YANG, Yahui CAI, Xiangfan NIE, Lehua QI. Identification method for anisotropic and high strain rate plasticity of sheet metals based on heterogeneous highspeed inertial impact and principle of virtual work[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(10): 229221-229221.

Figures/Tables 23

Fig.1

Fig.2

Table 1

Parameters of finite element simulation of inertial impact test

参数			数值
试件形状参数	长度/mm		40
	宽度/mm		30
	厚度/mm		4
试件材料属性	密度/（kg·m^-3）		2 700
	杨氏模量/GPa		70
	泊松比		0.3
	Hill1948屈服准则	H	0.4
		G	0.6
		F	0.45
		N	0.8
	应变硬化项	K/MPa	700
		$ε 0$	0.02
		n	0.22
	应变率硬化项	C	0.008
	应变率硬化项	$ε ˙ 0$	1
仿真参数设定	单元类型		CPS3
	网格大小/mm		0.5
	峰值压力/MPa		300
	冲击方向		轧制方向（0°）
	阻尼系数		0.06
	帧间距离/μs		0.2

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Table 2

Identification results of anisotropic yield + strain hardening + strain rate strengthening parameters

加载方向	虚场		$K$ /MPa	$ε 0$	n	C	H	F	N
		参考值	700	0.02	0.22	0.008	0.4	0.45	0.8
0°	VF1+ VF2+ VF3	初始值1	500	0.01	0.1	0.005	0.5	0.5	0.5
		结果1	644	0.012 4	0.176	0.005 94	0.383	0.439	0.778
		误差1/%	7.94	37.9	19.9	25.7	4.16	2.28	2.76
		初始值2	400	0.03	0.2	0.01	0.2	0.7	1.0
		结果2	634	0.011 7	0.171	0.006 10	0.386	0.443	0.757
		误差2/%	9.48	41.4	22.5	23.7	3.51	1.51	5.36

Table 2

Table 3

Identification results of anisotropic yield + strain rate strengthening parameters

加载方向	虚场		$K$ /MPa	$ε 0$	n	C	H	F	N
		参考值	700	0.02	0.22	0.008	0.4	0.45	0.8
0°	VF1+ VF2+ VF3	初始值1				0.005	0.5	0.5	0.5
		结果1				0.008 16	0.401	0.451	0.827
		误差1/%				-1.98	-0.17	-0.13	-3.44
		初始值2				0.02	0.2	0.7	1.0
		结果2				0.008 16	0.401	0.451	0.825
		误差2/%				-2.02	-0.23	-0.13	-3.10

Table 3

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Table 4

Fig.17

Fig.18

Fig.19

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加载方向	虚场	加载模式		C	H	F	N
加载方向	虚场	加载模式	参考值	0.008	0.4	0.45	0.8
0°	VF1+ VF2+ VF3	加载模式b	初始值1	0.005	0.5	0.5	0.5
			结果1	0.006 96	0.402	0.482	0.720
			误差1/%	13.0	-0.51	-7.15	9.99
			初始值2	0.02	0.2	0.7	1.0
			结果2	0.007 20	0.399	0.483	0.901
			误差2/%	10.1	0.04	-7.26	-12.6
		加载模式c	初始值1	0.005	0.5	0.5	0.5
			结果1	0.008 89	0.354	0.415	0.892
			误差1/%	-11.1	11.4	7.56	-11.5
			初始值2	0.02	0.3	0.2	0.4
			结果2	0.008 95	0.351	0.408	0.881
			误差2/%	-11.8	12.3	9.24	-10.2
		加载模式d	初始值1	0.005	0.5	0.5	0.5
			结果1	0.00866	0.384	0.536	0.741
			误差1/%	-8.26	3.99	-19.1	7.37
			初始值2	0.001	0.6	0.8	0.6
			结果2	0.008 99	0.381	0.536	0.865
			误差2/%	-12.3	4.74	-19.1	-8.14

Identification method for anisotropic and high strain rate plasticity of sheet metals based on heterogeneous highspeed inertial impact and principle of virtual work

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