Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion
Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion
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DOI：
10.1007/s00466-018-1610-9
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发表时间：
2018-07
影响因子：
4.1
通讯作者：
M. Dittmann;M. Krüger;F. Schmidt;S. Schuß;C. Hesch
中科院分区：
文献类型：
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作者：
M. Dittmann;M. Krüger;F. Schmidt;S. Schuß;C. Hesch
断裂相场公式和复杂的砂浆接触公式是当今成熟的技术。对于广泛的应用，这两种变化一致的方法已经在通用性、性能和准确性方面证明了它们与更传统的方法相比的优越性。在当前的贡献中，我们将这两种方法结合在一个统一的计算框架中，以处理大变形热断裂机械接触问题。特别是，临界断裂能量密度的温度相关模型以及热传导的相场相关模型与温度相关的接触模型一起被考虑。具体来说，切线方向的接触考虑粘着各向异性摩擦模型，而法向接触定义采用指数粘着模型。这些模型以热力学一致的公式纳入热相场方法中。最终，各种代表性的数值示例展示了这种新颖框架的功能。
Phase-field formulations to fracture and sophisticated mortar contact formulations are well established techniques nowadays. For a wide range of applications, these two variationally consistent approaches could already demonstrate their superiority compared with more traditional methods in terms of generality, performance and accuracy. In the present contribution we combine both methodologies in a unified computational framework to deal with large deformation thermo-fracture mechanical contact problems. In particular, a temperature dependent model for the critical fracture energy density as well as a phase-field dependent model for the heat conduction are taken into account along with a temperature dependent contact model. To be specific, an adhesive anisotropic friction model is considered for the contact in tangential direction, whereas an exponential adhesion model is applied for the normal contact definition. These models are incorporated within the thermal phase-field approach in a thermodynamically consistent formulation. Eventually, a variety of representative numerical examples demonstrates the capabilities of this novel framework.