Vol. 13, No. 4, 2018

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Prediction of springback and residual stress of a beam/plate subjected to three-point bending

Quang Khoa Dang, Pei-Lun Chang, Shih-Kang Kuo and Dung-An Wang

Vol. 13 (2018), No. 4, 421–441
Abstract

A model for prediction of springback and residual stress distribution of a beam/plate subjected to three-point bending and reverse bending is developed based on a mechanical-geometrical approach. A converged solution that satisfies both the Euler–Bernoulli beam theory and the geometrical constraints is obtained by a recursive scheme. The model can be applied to bending/unbending analyses of plates when the beam bending approaches a plane strain condition. Springback and residual stress distribution of a plate is predicted quite accurately by the model as verified by finite element analyses and experiments. Accuracy of springback and residual stress prediction of the model is examined with consideration of various geometry parameters of the beam and the fulcrum/support cylinders. The goal of this investigation is to develop an accurate and efficient model to predict the profile and residual stress of plates curved by bending in the postyield range. The developed model can serve as a unit cell of a more sophisticated model for leveling analyses of metal plates as multiple rollers are involved.

Keywords
springback, residual stress, three-point bending, beam, plate
Milestones
Received: 21 May 2017
Revised: 25 September 2018
Accepted: 9 October 2018
Published: 13 December 2018
Authors
Quang Khoa Dang
Graduate Institute of Precision Engineering
National Chung Hsing University
Taichung
Taiwan
Pei-Lun Chang
Graduate Institute of Precision Engineering
National Chung Hsing University
Taichung
Taiwan
Shih-Kang Kuo
Iron and Steel Research and Development Department
China Steel Corporation
Kaohsiung
Taiwan
Dung-An Wang
Graduate Institute of Precision Engineering
National Chung Hsing University
Taichung
Taiwan