考虑各向异性和剪切行为的GTN损伤模型及其在成形极限预测中的应用

doi:10.3901/JME.2025.06.141

摘要/Abstract

摘要： 传统成形极限理论模型并不适用于延伸率较低的铝合金板材。为了准确预测铝合金板材的成形极限，在Gurson-Tvergaard-Needlemen (GTN)细观损伤模型的基础上，综合考虑板材各向异性及孔洞剪切机理对损伤演化的影响，建立修正GTN模型，提出从细观损伤角度预测铝合金成形极限曲线的方法。以6061-T6铝合金板材为研究对象，通过中心复合设计-响应面模型-多目标遗传算法相结合的有限元反向标定法确定GTN模型的损伤参数。并编写修正GTN模型的VUMAT用户自定义材料子程序，利用有限元分析软件ABAQUS数值模拟NAKAZIMA凸模胀形试验，获取铝合金成形极限曲线。结果表明，考虑各向异性和剪切行为的修正GTN模型对于铝合金成形极限预测具有更好的准确性和适用性，改善了原始GTN模型对成形极限曲线拐点处预测不准的问题。

关键词: GTN损伤模型, 各向异性, 铝合金, 成形极限曲线, 响应面法

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

中图分类号:

TG146

陈鑫, 龚颖颖, 杨立飞. 考虑各向异性和剪切行为的GTN损伤模型及其在成形极限预测中的应用[J]. 机械工程学报, 2025, 61(6): 141-150.

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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