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Volume 13
Issue 21
10.3390/ma13214929
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Article

Analytical Model for Springback Prediction of CuZn20 Foil Considering Size Effects: Weakening versus Strengthening

by
Xin Guan
1,
Zhenwu Ma
1,
Chunju Wang
2,*,
Haidong He
2,*,
Yuanjing Zhang
1,
Xinwei Wang
3 and
Weiwei Zhang
4
1
College of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, China
2
School of Mechanical and Electrical Engineering, Robotics and Microsystems Center, Soochow University, Suzhou 215131, China
3
Laboratory for Space Environment and Physical Sciences, Harbin Institute of Technology, Harbin 150080, China
4
Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China
*
Authors to whom correspondence should be addressed.
Materials 2020, 13(21), 4929; https://doi.org/10.3390/ma13214929
Received: 16 September 2020 / Revised: 20 October 2020 / Accepted: 27 October 2020 / Published: 2 November 2020
(This article belongs to the Special Issue Predictive Modelling for Mechanical Behaviour (PMMB) of Materials)
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Abstract

The prediction of springback angle for ultra-thin metallic sheets becomes extremely difficult with the existence of size effects. In this study, size effects on the springback behavior of CuZn20 foils are investigated by experiments and analytical methods. The experimental results reveal that the springback angle first decreases gradually and then increases markedly with the decrease of foil thickness, which cannot be analyzed by current theoretical models. Then, an analytical model based on the Taylor-based nonlocal theory of plasticity is developed, in which the drastic increases of both the proportion of surface grains and the strain gradient are taken into account. Moreover, the influence of strain gradient is modified by the grain-boundary blocking factor. The calculation results show that the springback angle of foils is determined by the intrinsic competition between the decrement angle caused by surface grains and the increment angle caused by the strain gradient. Besides, the relative error of predicted springback angle by the model is less than 15%, which means that the developed model is very useful for improving the quality of micro sheet parts with high accuracy of springback prediction. View Full-Text
Keywords: springback prediction; analytical model; size effects; surface grain; strain gradient springback prediction; analytical model; size effects; surface grain; strain gradient
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MDPI and ACS Style

Guan, X.; Ma, Z.; Wang, C.; He, H.; Zhang, Y.; Wang, X.; Zhang, W. Analytical Model for Springback Prediction of CuZn20 Foil Considering Size Effects: Weakening versus Strengthening. Materials 2020, 13, 4929. https://doi.org/10.3390/ma13214929

AMA Style

Guan X, Ma Z, Wang C, He H, Zhang Y, Wang X, Zhang W. Analytical Model for Springback Prediction of CuZn20 Foil Considering Size Effects: Weakening versus Strengthening. Materials. 2020; 13(21):4929. https://doi.org/10.3390/ma13214929

Chicago/Turabian Style

Guan, Xin, Zhenwu Ma, Chunju Wang, Haidong He, Yuanjing Zhang, Xinwei Wang, and Weiwei Zhang. 2020. "Analytical Model for Springback Prediction of CuZn20 Foil Considering Size Effects: Weakening versus Strengthening" Materials 13, no. 21: 4929. https://doi.org/10.3390/ma13214929

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