Research Papers

Theoretical Prediction of Sheet Metal Wrinkling Based on the Potential Function Analysis

[+] Author and Article Information
Yixi Zhao

Shanghai Key Laboratory of Digital
Manufacture for Thin-Walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: yxzhao@sjtu.edu.cn

Xumin Wan, Leitao Gao, Zhongqi Yu

Shanghai Key Laboratory of Digital
Manufacture for Thin-Walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China

Qingshuai Kong

Shanghai Key Laboratory of Digital
Manufacture for Thin-walled Structures,
Shanghai Jiao Tong University,
Shanghai 200240, China

1Corresponding author.

Manuscript received November 22, 2017; final manuscript received June 26, 2018; published online July 27, 2018. Assoc. Editor: Yannis Korkolis.

J. Manuf. Sci. Eng 140(10), 101012 (Jul 27, 2018) (12 pages) Paper No: MANU-17-1728; doi: 10.1115/1.4040727 History: Received November 22, 2017; Revised June 26, 2018

The wrinkling research in sheet metal forming process has always been one of the most common hot topics. There are many methods to predict the sheet metal wrinkling while it is still difficult to accurately predict the initiation of wrinkling. The variational study of the potential function can be used to analyze the sheet metal wrinkling and acquire the stable energy criterion. In this paper, the sheet metal wrinkling mechanisms are explained in detail, and a wrinkling prediction model is proposed based on derivation and the potential function analysis during sheet metal forming processes. Meanwhile, the finite element (FE) simulation and experimental results of Yoshida buckling test (YBT) are used to verify the accuracy of the theoretical wrinkling prediction model. And the wrinkling prediction model has also applied to analyze the conventional spinning forming process, and the critical moment of flange wrinkling had been accurately predicted.

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Fig. 1

Planar infinitesimal body of sheet

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Fig. 2

The illustration of the potential function V

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Fig. 3

The illustration of M0

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Fig. 4

The illustration of sheet metal wrinkling mechanism

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Fig. 5

The algorithm flowchart of the sheet metal wrinkling prediction

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Fig. 6

The illustration of the YBT standard piece

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Fig. 7

The contour of σxx in YBT

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Fig. 8

The illustration of actual forming region

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Fig. 9

The FE simulation data results when diagonal tensile displacement is 0.8 mm: (a) the compressive stress distribution and (b) the value change rule of δΠ

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Fig. 10

The relationship between(σxx)cr andmwhen the diagonal tensile displacement is 0.88 mm

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Fig. 11

The center point of the YBT square sheet metal

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Fig. 12

The relationship between w0 and the diagonal tensile displacement

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Fig. 13

Conventional spinning experiment (a) specimen and (b) schematic diagram

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Fig. 14

The mesh strategy of blank

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Fig. 15

Circumferential compressive stress distribution [30]

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Fig. 16

The FE simulation data results when forming degree is 38.3 deg: (a) forming degree and (b) the value change rule of δΠ

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Fig. 17

The relationship between (σθθ)cr and mθ when forming degree is 39.2 deg

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Fig. 18

Experimentally spinning specimens from 30 deg to 55 deg [30]: (a) 30 deg, (b) 35 deg, (c) 40 deg, (d) 45 deg, (e) 50 deg, (f) 55 deg



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