基于非对称双悬臂梁模型优化的双金属板界面结合强度研究

doi:10.11900/0412.1961.2020.00114

金属学报

2020, Vol. 56

Issue (12): 1617-1628 DOI: 10.11900/0412.1961.2020.00114

本期目录 | 过刊浏览

基于非对称双悬臂梁模型优化的双金属板界面结合强度研究

秦勤¹^,²(

), 李程², 何流¹, 叶陈龙², 臧勇¹

1 北京科技大学机械工程学院北京 100083
2 北京科技大学顺德研究生院佛山 520300

An Investigation of Interface Bonding Strength of Bimetal Plate Based on the Optimization of Asymmetric Double Cantilever Beam Model

QIN Qin¹^,²(

), LI Cheng², HE Liu¹, YE Chenlong², ZANG Yong¹

1 School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
2 Shunde Graduate School, University of Science and Technology Beijing, Foshan 520300, China

引用本文:

秦勤, 李程, 何流, 叶陈龙, 臧勇. 基于非对称双悬臂梁模型优化的双金属板界面结合强度研究[J]. 金属学报, 2020, 56(12): 1617-1628.
Qin QIN, Cheng LI, Liu HE, Chenlong YE, Yong ZANG. An Investigation of Interface Bonding Strength of Bimetal Plate Based on the Optimization of Asymmetric Double Cantilever Beam Model[J]. Acta Metall Sin, 2020, 56(12): 1617-1628.

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摘要:

基于非对称双悬臂梁模型，在充分考虑金属复合材料界面的塑性变形行为的基础上，提出解析计算双金属板界面结合强度的改进方法，以解决金属界面结合强度高于基材强度时金属复合材料界面结合强度难以获得的难题。借助渐进成形实验验证了该方法的正确性，并获得爆炸复合的T2/A1050 Cu-Al复合板界面结合强度为208 MPa。界面结合强度与最大成形深度相关，当界面结合强度增加38%时，最大成形深度增加了210%。压下量和工具头直径严重影响鼓包高度，当压下量由2.0 mm降低至0.5 mm，鼓包高度降低57%；工具头直径由10 mm升高至22 mm，鼓包高度下降38%。最后，优选了合理的成形参数，使双金属复合板底面鼓包高度下降53%。

关键词 ：双金属板, 界面模型, 理论解析, 界面结合强度

Abstract：

The bimetal sheet products obtained by the incremental forming are gradually gaining popularity because of their excellent properties. The forming process of the bimetal sheets is more complicated than that of the single metal sheet because it involves a complex interface between the two metal sheets. The bonding strength of the interface is an important parameter for evaluating the bonding properties of a bimetal sheet. However, if the required bonding strength is higher than the strength of the substrate, appropriate strength is difficult to achieve using only experimental methods. An improved analytical method to calculate the interface bonding strength has been proposed based on the widely used interface model of an asymmetric double cantilever beam. This improved analytical method considers the plasticity of the interface. The interface bonding strength of the explosively welded T2/A1050 copper-aluminum bimetal sheet has been assessed using the improved method, and its interface bonding strength has been found to reach 208 MPa. This bonding strength has been used in a finite element model for the forming process of the bimetal sheet. The correctness of the method has been verified by comparing the analytical results with the experimental data. Furthermore, the influence of interface bonding strength on the maximum forming depth has been explored, and it has been found that the maximum forming depth increased by 210% when the interface bonding strength increased by 38%. Moreover, a three-dimensional model including a tool, the Cu-Al bimetal sheet, and a cohesive element between the two metal sheets has been suggested for investigating the bulge defect of the forming part. The bonding strength of the interface obtained above has again been utilized in the finite element analysis. The impacts of different reductions and tool diameters on the bulge defect of the forming part have systematically been discussed. The results show that bulge defect decreased by 57% when the reduction decreased from 2.0 mm to 0.5 mm, and the bulge defect decreased by 38% when the tool diameter increased from 10 mm to 22 mm. Optimized parameters have been suggested to effectively reduce the bulge defect by 53%.

Key words： bimetal plate interface model theoretical analysis interface bonding strength

收稿日期: 2020-04-10

ZTFLH:

TH140.1

基金资助:广东省基础与应用研究基金项目(2019B1515120070);北京科技大学顺德研究生院科技创新专项资金项目(BK-19BE009)

作者简介: 秦勤，男，1970年生，教授，博士

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https://www.ams.org.cn/CN/10.11900/0412.1961.2020.00114 或 https://www.ams.org.cn/CN/Y2020/V56/I12/1617

图1 基于线性硬化假定的双线性弹塑性界面本构模型

图2 技术路线图

图3 双悬臂梁仿真模型Color online

图4 内聚力单元的双线性本构关系

表1 Cu-Al 双金属板物理性能参数[30]

表2 双悬臂梁模型不同界面结合强度下的端部位移

图5 T型剥离模型变形前后的仿真云图比较Color online

表3 拉伸方向处于弹性阶段，剪切方向处于塑性阶段下断裂能和端部位移的部分计算结果

图6 单点渐进成形仿真模拟Color online

图7 内聚力单元的损伤情况Color online

图8 复合板损伤模拟结果Color online

图9 单点渐进成形仿真结果与实验结果的对比Color online(a) simulated result (b) experimental result

图10 单点渐进成形实验和仿真轮廓曲线

图11 不同压下量下圆锥制件的截面轮廓和底部鼓包高度

图12 不同工具头直径下圆锥制件的截面轮廓和底部鼓包高度

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