GTN Damage Model Considering Anisotropy and Shear Behavior and Application in Forming Limit Prediction

doi:10.3901/JME.2025.06.141

Abstract

Abstract: The traditional forming limit theory model is not applicable to aluminum alloy sheets with low elongation. In order to accurately predict the forming limit of aluminum alloy sheets, a modified GTN model is established based on the Gurson-Tvergaard-Needlemen (GTN) microscopic damage model, taking into account the effects of sheet anisotropy and pore shear mechanism on damage evolution. A method for predicting the forming limit curve of aluminum alloy sheets from the perspective of microscopic damage is proposed. Taking 6061-T6 aluminum alloy sheet as the research object, the damage parameters of the GTN model are determined using a finite element reverse calibration method combining central composite design, response surface model, and multi-objective genetic algorithm. And write a VUMAT user-defined material subroutine to modify the GTN model, use finite element analysis software ABAQUS to numerically simulate NAKAZIMA punch bulging experiments, and obtain the aluminum alloy forming limit curve. The results indicate that the modified GTN model considering anisotropy and shear behavior has better accuracy and applicability for predicting the forming limit of aluminum alloys, and improves the problem of inaccurate prediction of the original GTN model at the inflection point of the forming limit curve.

Key words: GTN damage model, anisotropy, aluminum alloy, forming limit curve, response surface method

CLC Number:

TG146

CHEN Xin, GONG Yingying, YANG Lifei. GTN Damage Model Considering Anisotropy and Shear Behavior and Application in Forming Limit Prediction[J]. Journal of Mechanical Engineering, 2025, 61(6): 141-150.

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