A thermomechanically coupled viscoelastic cohesive zone model at large deformation
A thermomechanically coupled viscoelastic cohesive zone model at large deformation
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DOI：
10.1016/j.ijsolstr.2013.08.031
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发表时间：
2013-12
影响因子：
3.6
通讯作者：
I. Zreid;R. Fleischhauer;M. Kaliske
中科院分区：
文献类型：
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作者：
I. Zreid;R. Fleischhauer;M. Kaliske
一个新的粘弹性凝聚区模型制定大变形条件下，并在一个完全耦合的热力学框架。该模型适用于各种问题的模拟，特别是聚合物材料。它可以捕捉粘弹性裂纹扩展以及能量耗散，由于这个过程。从热力学原理出发，推导了三维有限元列式，可同时求解温度场和变形场。粘弹性模型是通过使用简单的流变学扩展弹性指数牵引分离定律来构造的。假设粘性部分的牵引力具有相同的特征长度的弹性部分，它们是由一个单一的材料参数。用牛顿阻尼器描述粘性分离的演化过程。此外，热效应占牵引法和阻尼器的粘度使用温度表达式，并使用跨界面的热传导法。该模型在隐式有限元代码中实现，并且使用内部迭代计算内部变量。不同的数值例子被用来验证模型和与实验数据的比较显示出令人满意的协议。
A new viscoelastic cohesive zone model is formulated for large deformation conditions and within a fully coupled thermomechanical framework. The model is suitable for the simulation of a wide range of problems especially for polymeric materials. It can capture viscoelastic crack propagation as well as energy dissipation due to this process. Starting from the principles of thermodynamics, a 3D finite element formulation is derived for a fully coupled simultaneous solution of the thermal field and the deformation field. The viscoelastic model is constructed by extending an elastic exponential traction separation law using a simple rheology. The viscous part of the tractions is postulated to have the same characteristic length as the elastic part and that they are related by a single material parameter. A Newtonian dashpot is used to describe the evolution of the viscous separation. Furthermore, thermal effects are accounted for using temperature expressions in both the traction laws and the viscosity of the dashpot, and using a heat conduction law across the interface. The model is implemented within an implicit finite element code and the internal variable is calculated using an internal iteration. Different numerical examples are used to verify the model and a comparison with experimental data shows a satisfactory agreement.