目的 准确预测HC590钢板的各向异性硬化行为,重点探究不同加载方向对其屈服应力及塑性变形的影响,并验证Chen-CQN屈服函数在预测硬化行为中的优越性。方法 采用试验与数值分析相结合的方法,首先沿3种不同方向对HC590钢板进行了单轴拉伸试验和胀形试验,获取其硬化行为数据,其次分析了加载方向对材料强度和塑性变形各向异性行为的影响。基于试验数据,采用二分类技术对比了3种屈服函数模型(Chen-CQN、Yld2000-2d和Stoughton-Yoon 2009)在预测HC590钢板硬化行为中的表现,最后通过数值模拟验证了Chen-CQN模型在不同加载方向下的屈服应力预测精度。结果 试验结果表明,加载方向显著影响了HC590钢板的强度和塑性变形行为,表现出明显的各向异性特性。在单轴拉伸和胀形试验中,不同加载方向下的屈服应力和硬化曲线存在显著差异。数值分析结果表明,Chen-CQN模型在预测HC590钢板的硬化行为方面优于其他2个模型。试验硬化试验结果进一步验证了Chen-CQN函数的精确性和灵活性,其预测值与试验值的偏差在2.1%以内,表明该模型能够准确表征HC590钢的屈服面变化。综上,加载方向对HC590钢板强度和塑性变形行为有显著影响,而Chen-CQN屈服函数在预测其硬化行为方面表现出优越性。结论 硬化试验结果进一步证实了Chen-CQN函数的准确性和灵活性。因此,Chen-CQN模型为HC590钢板的工程应用提供了可靠的材料模型,能够显著提高Chen-CQN模型在复杂加载条件下的仿真精度和预测能力。这一研究为各向异性材料的硬化行为建模提供了重要的理论支持和试验依据。
Abstract
The purpose of this study is to accurately predict the anisotropic hardening behavior of HC590 steel plates with focuses on the influence of different loading directions on its yield stress and plastic deformation, and to verify the prediction performance of Chen-CQN yield function. In this study, the uniaxial tensile test and expansion test of HC590 steel plates in three different directions were carried out to obtain the hardening behavior data, and the influence of loading direction on the material strength and the anisotropy behavior of plastic deformation was analyzed. Based on the experimental data, the dichotomy technique was used to compare the performance of three yield function models (Chen-CQN, Yld2000-2d and Stoughton-Yoon 2009) in predicting the hardening behavior of HC590 steel plates. Finally, the yield stress prediction accuracy of the Chen-CQN model under different loading directions was verified by numerical simulation. The experimental results showed that the loading direction significantly affected the strength and plastic deformation behavior of HC590 steel plates, showing obvious anisotropy characteristics. In uniaxial tensile and bulging tests, there were significant differences in yield stress and hardening curves under different loading directions. The numerical results showed that the Chen-CQN model was superior to the other two models in predicting the hardening behavior of HC590 steel plates. The accuracy and flexibility of the Chen-CQN function were further verified by the results of the experimental hardening test. The deviation between the predicted value and the experimental value was less than 2.1%, indicating that the model could accurately characterize the change of the yield surface of HC590 steel. In conclusion, the loading direction had a significant effect on the strength and plastic deformation behavior of HC590 steel plates, and the Chen-CQN yield function was superior in predicting its hardening behavior. The accuracy and flexibility of the Chen-CQN function are further confirmed by the experimental hardening test results. Therefore, the Chen-CQN model provides a more reliable material model for the engineering application of HC590 steel plates, which can significantly improve its simulation accuracy and prediction ability under complex loading conditions. This study provides important theoretical support and experimental basis for modeling the hardening behavior of anisotropic materials.
关键词
各向异性硬化行为 /
屈服应力 /
塑性变形行为 /
屈服函数 /
数值分析
Key words
anisotropic hardening behavior /
yield stress /
plastic deformation behavior /
yield function /
numerical analysis
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Hill R.A Theory of the Yielding and Plastic Flow of Anisotropic Metals[J]. Proceedings of the Royal Society of London. Series A, 1948, 193: 281-297.
[2] LOU Y, ZHANG S, YOON J W. A Reduced Yld2004 Function for Modeling of Anisotropic Plastic Deformation of Metals under Triaxial Loading[J]. International Journal of Mechanical Sciences, 2019, 161/162: 105027.
[3] BARLAT F, BREM J C, YOON J W, et al.Plane Stress Yield Function for Aluminum Ally Sheets-Part I: Theory[J]. International Journal of Plasticity, 2003, 19: 1297-1319.
[4] BARLAT F, ARETZ H, YOON J W, et al.Linear Transfomation-Based Anisotropic Yield Functions[J]. International Journal of Plasticity, 2005, 21(5): 1009-1039.
[5] CAZACU O.New Yield Criteria for Isotropic and Textured Metallic Materials[J]. International Journal of Solids and Structures, 2018, 139: 200-210.
[6] YOON J W, LOU Y, YOON J, et al.Asymmetric Yield Function Based on the Stress Invariants for Pressure Sensitive Metals[J]. International Journal of Plasticity, 2014, 56: 184-202.
[7] LOU Y S, ZHANG C, ZHANG S J, et al.A General Yield Function with Differential and Anisotropic Hardening for Strength Modelling under Various Stress States with Non-Associated Flow Rule[J]. International Journal of Plasticity, 2022, 158: 103414.
[8] LOU Y S, ZHANG S J, YOON J W.Strength Modeling of Sheet Metals from Shear to Plane Strain Tension[J]. International Journal of Plasticity, 2020, 134: 102813.
[9] LOU Y S, HUH H, YOON J W.Consideration of Strength Differential Effect in Sheet Metals with Symmetric Yield Functions[J]. International Journal of Mechanical Sciences, 2013, 66: 214-223.
[10] LEE E H, CHOI H, STOUGHTON T B, et al.Combined Anisotropic and Distortion Hardening to Describe Directional Response with Bauschinger Effect[J]. International Journal of Plasticity, 2019, 122: 73-88.
[11] STOUGHTON T B, YOON J W.Anisotropic Hardening and Non-Associated Flow in Proportional Loading of Sheet Metals[J]. International Journal of Plasticity, 2009, 25(9): 1777-1817.
[12] CHEN Z, WANG Y, LOU Y.User-friendly Anisotropic Hardening Function with Non-associated Flow Rule under the Proportional Loadings for BCC and FCC Metals[J]. Mechanics of Materials, 2022, 165: 104190.
[13] HU Q, YOON J W, MANOPULO N, et al.A Coupled Yield Criterion for Anisotropic Hardening with Analytical Description under Associated Flow Rule: Modeling and Validation[J]. International Journal of Plasticity, 2021, 136: 102882.
[14] HU Q, YOON J W.Anisotropic Distortional Hardening Based on Deviatoric Stress Invariants under Non-Associated Flow Rule[J]. International Journal of Plasticity, 2022, 151: 103214.
[15] HOU Y, MIN J Y, LIN J P, et al.Modeling Stress Anisotropy, Strength Differential, and Anisotropic Hardening by Coupling Quadratic and Stress-Invariant-Based Yield Functions under Non-Associated Flow Rule[J]. Mechanics of Materials, 2022, 174: 104458.
[16] HOU Y, MIN J Y, STOUGHTON T B, et al.A Non-Quadratic Pressure-Sensitive Constitutive Model under Non-Associated Flow Rule with Anisotropic Hardening: Modeling and Validation[J]. International Journal of Plasticity, 2020, 135: 102808.
[17] DU K, HUANG S H, LI X Q, et al.Evolution of Yield Behavior for AA6016-T4 and DP490-Towards a Systematic Evaluation Strategy for Material Models[J]. International Journal of Plasticity, 2022, 154: 103302.
[18] DU K, CUI J H, HOU Y, et al.Breaking through the Plasticity Modeling Limit in Plane Strain and Shear Loadings of Sheet Metals by a Novel Additive-Coupled Analytical Yield Criterion[J]. Journal of Materials Science & Technology, 2025, 225: 261-276.
[19] LOU Y S, YOON J W.Lode-Dependent Anisotropic-Asymmetric Yield Function for Isotropic and Anisotropic Hardening of Pressure-Insensitive Materials. Part I: Quadratic Function under Non-Associated Flow Rule[J]. International Journal of Plasticity, 2023, 166: 103647.
[20] LOU Y S, ZHANG C, WU P F, et al.New Geometry-Inspired Numerical Convex Analysis Method for Yield Functions under Isotropic and Anisotropic Hardenings[J]. International Journal of Solids and Structures, 2024, 286: 112582.
[21] WANG S C, YOON J W, LOU Y S.Lode-Dependent Anisotropic-Asymmetric Yield Function for Isotropic and Anisotropic Hardening of Pressure-Insensitive Materials. Part II: Stress Invariant-Based Coupled Quadratic and Non-Quadratic Function[J]. International Journal of Plasticity, 2024, 179: 104043.
基金
国家自然科学基金(52075423,U2141214); 两机专项(Y2022-VII-0007-0049)