On the influence of kinematic hardening on plastic anisotropy in the context of finite strain plasticity
On the influence of kinematic hardening on plastic anisotropy in the context of finite strain plasticity
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DOI：
10.1007/s12289-011-1038-7
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发表时间：
2011-03
影响因子：
2.4
通讯作者：
I. Vladimirov;Michael P. Pietryga;S. Reese
中科院分区：
文献类型：
--
作者：
I. Vladimirov;Michael P. Pietryga;S. Reese
本文讨论了一种新的各向异性塑性有限材料模型在筒形件拉深制耳模拟中的应用。该模型综合了Hill型塑性各向异性、非线性运动强化和非线性各向同性强化。本构框架是在连续介质热力学的背景下推导出来的，代表了有限应变状态下各向异性弹塑性的乘法公式。塑性各向异性是通过二阶结构张量，这是用来作为额外的张量值参数的屈服准则和塑性流动规则的表示。发展方程的积分形式的指数映射，fullfils塑性不可压缩性和保持内部变量的对称性。数值算例研究了硬化行为对初始各向异性屈服准则的影响。特别是，除了在制耳模拟各向同性硬化模型的运动硬化组件的影响进行检查。与铝和钢板的试验数据的比较显示出良好的协议之间的有限元结果和实验数据。
The paper discusses the application of a newly developed material model for finite anisotropic plasticity to the simulation of earing formation in cylindrical cup drawing. The model incorporates Hill-type plastic anisotropy, nonlinear kinematic and nonlinear isotropic hardening. The constitutive framework is derived in the context of continuum thermodynamics and represents a multiplicative formulation of anisotropic elastoplasticity in the finite strain regime. Plastic anisotropy is described by means of second-order structure tensors which are used as additional tensor-valued arguments in the representation of the yield criterion and the plastic flow rule. The evolution equations are integrated by a form of the exponential map that fullfils plastic incompressibility and preserves the symmetry of the internal variables. The numerical examples investigate the influence of the hardening behaviour on an initially anisotropic yield criterion. In particular, the influence of using the kinematic hardening component of the model in addition to isotropic hardening in the earing simulations is examined. Comparisons with test data for aluminium and steel sheets display a good agreement between the finite element results and the experimental data.