Simulation of Electromagnetic Forming of a Cross-Shaped Cup by Means of a Viscoplasticity Model Coupled with Damage at Finite Strains

Simulation of Electromagnetic Forming of a Cross-Shaped Cup by Means of a Viscoplasticity Model Coupled with Damage at Finite Strains
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利用与有限应变损伤耦合的粘塑性模型模拟十字形杯的电磁成形

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发表时间:
2013
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通讯作者:
A. Tekkaya
A. Tekkaya
中科院分区:
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文献类型:
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作者:
Y. Kiliclar;O. Demir;I. Vladimirov;L. Kwiatkowski;S. Reese;A. Tekkaya

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在金属板材成形领域,使用传统的成形工艺。然而,准静态成形工艺与高速成形工艺相结合可以提高单一成形工艺的成形极限。在本文中,利用新的大变形损伤-粘塑性耦合模型对工艺链准静态拉深-电磁成形进行了研究。有限元模拟中使用的有限应变本构模型结合了非线性运动学和各向同性硬化,并在热力学一致的设置中导出。各向异性粘塑性模型基于超弹性背景下变形梯度的乘法分解。运动硬化组件代表了阿姆斯特朗-弗雷德里克运动硬化经典流变模型的连续延伸。山型塑性各向异性通过将屈服面表示为二阶结构张量的函数作为附加张量值参数来建模。损伤和塑性的耦合是根据有效应力概念以本构方式进行的。材料模型的本构方程以显式方式积分,并作为具有电磁模量的 LS-Dyna 商用有限元包中的用户材料子程序实现。这项工作的目的是通过将准静态拉深工艺与高速电磁成形工艺相结合来展示板材不断提高的成形性能。
In the field of sheet metal forming traditional forming processes are used. However, a quasi-static forming process combined with a high speed forming process can enhance the forming limits of a single one. In this paper, the investigation of the process chain quasi-static deep drawing – electromagnetic forming by means of a new coupled damage-viscoplasticity model for large deformations is performed. The finite strain constitutive model, used in the finite element simulation combines nonlinear kinematic and isotropic hardening and is derived in a thermodynamically consistent setting. The anisotropic viscoplastic model is based on the multiplicative decomposition of the deformation gradient in the context of hyperelasticity. The kinematic hardening component represents a continuum extension of the classical rheological model of Armstrong–Frederick kinematic hardening. Hill-type plastic anisotropy is modelled by expressing the yield surface as a function of second-order structure tensors as additional tensor-valued arguments. The coupling of damage and plasticity is carried out in a constitutive manner according to the effective stress concept. The constitutive equations of the material model are integrated in an explicit manner and implemented as a user material subroutine in the commercial finite element package of LS-Dyna with the electromagnetical modul. Aim of the work is to show the increasing formability of the sheet by combining quasi-static deep drawing processes with high speed electromagnetic forming process.