| 张晓阳,刘泽宇,赵飘.泡沫金属经典本构模型表征三轴拉伸和拉压组合条件下宏观力学性能的研究[J].南华大学学报(自然科学版),2024,(2):66~72.[ZHANG Xiaoyang,LIU Zeyu,ZHAO Piao.Characterizations of Macroscopic Mechanical Properties of Metallic Foams by Classic Constitutive Models Under Triaxial Tension and Tension-Compression Loading[J].Journal of University of South China(Science and Technology),2024,(2):66~72.] |
| 泡沫金属经典本构模型表征三轴拉伸和拉压组合条件下宏观力学性能的研究 |
| Characterizations of Macroscopic Mechanical Properties of Metallic Foams by Classic Constitutive Models Under Triaxial Tension and Tension-Compression Loading |
| 投稿时间：2023-11-13 |
| DOI：10.19431/j.cnki. 1673-0062.2024.02.009 |
| 中文关键词: 泡沫金属 本构关系理论模型 三轴拉伸 三轴拉压组合 弹塑性力学性能 |
| 英文关键词:metallic foam constitutive model triaxial tension triaxial tension-compression elastic and plastic mechanical properties |
| 基金项目:湖南省自然科学基金项目(2018JJ3425) |
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| 中文摘要: |
| 泡沫金属在实际工程应用中往往承受多轴拉伸、拉压组合和压缩等复杂应力状态,且拉伸和压缩性能差异显著,而现有的本构关系理论模型基于多轴压缩实验构建,能否描述多轴拉伸和拉压组合条件下泡沫金属宏观弹塑性力学性能存疑。本文采用数值模拟的方法开展多轴加载数值仿真实验,基于数值模拟结果检验泡沫金属两个经典模型:D-F模型与汤立群等提出的理论模型(以下简称Tang模型),在三轴拉伸和拉压组合工况下的合理性。结果表明,D-F模型的椭圆度参数显著影响模型的预测精度,基于三轴拉伸、压缩和拉压组合屈服面拟合计算的椭圆度预测效果最优,结合单轴拉伸应力应变曲线,D-F模型能较好地表征泡沫金属三轴拉压组合条件下力学性能,但存在无法描述塑性耗散功大于单轴拉伸破坏时对应的塑性耗散功的力学行为的缺陷;该模型不能准确描述三轴拉伸力学性能。Tang模型分别描述三轴拉伸和拉压组合破坏前的力学行为,等效应力和应变曲线均具有良好的一致性,但确定等效应力和应变的四个参数均不同且不同于三轴压缩对应的参数;综合考虑三轴拉压组合和三轴压缩工况时,等效应力和应变曲线的一致性很差。 |
| 英文摘要: |
| Metallic foams are often subjected to multiaxial tension, tension-compression and compression loading in applications, and they exhibit significant asymmetry of tension and compression. The existed classic constitutive models of metallic foams well describe macroscopic mechanical properties under multiaxial compression loading, but it is still doubtful whether these models characterize mechanical behaviors under multiaxial tension and tension-compression loading. Series of simulations were conducted to obtain stresses and strains of metallic foams under triaxial tension, tension-compression, and compression loading. These results were compared with predictions by two classic constitutive models of metallic foams:the D-F model and Tang model. Results show that ellipticity parameter significantly affect the predictions of D-F model, and the best way to calculate the ellipticity was fitting yield data covering multiaxial tension, tension-compression, and compression loading. Combing with the stress and strain of uniaxial tension test, the D-F model well characterizes macroscopic elastic and plastic behaviors under multiaxial tension-compression loading, but there is a deficiency that this model can't characterize macroscopic behaviors when the plastic dissipation energy is larger than that of the failure state of uniaxial tension test. And the D-F model cannot accurately describe macroscopic behaviors of multiaxial tension cases. Tang model is suitable for multiaxial tension and tension-compression cases individually, and these four parameters for equivalent stress and strain under triaxial tension loading differ from those under triaxial compression loading and tension-compression loading. But the equivalent stress and strain curves show bad consistency for both triaxial compression and tension-compression cases. |
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