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A phase field modeling of dynamic brittle fracture at finite strains

机译:有限菌株动态脆性骨折的相域模型

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In this paper, we review and implement the phase field model for dynamic brittle fracture at finite strains. This model approximates sharp crack discontinuities using a continuous scalar field, the so-called phase field, which represents the smooth transition between the intact and broken material phases. Furthermore, an original length-scale parameter governs the diffusive approximation of sharp cracks, while the evolution of the phase field describes the fracture process. We account for the loss of the material stiffness during fracture by linking the phase field to the body's bulk energy using a quadratic degradation function. A volumetric-deviatoric split is applied to distinguish the fracture behavior in tension, shear, and compression. The phase field model is implemented within the in-house finite element software SESKA. Herein, the phase field and displacement are computed simultaneously using the Newmark time integration. We demonstrate the capabilities of the model by solving a single-edge notched block under tension and shear. Additionally, we investigate the effect of the length-scale parameter and mesh-size dependency on the solutions.
机译:本文在有限菌株下审查和实施动态脆性骨折的相域模型。该模型使用连续标量字段,所谓的相域近似锐度裂缝不连续性,即表示完整和破碎的材料阶段之间的平滑过渡。此外,原始长度参数控制尖锐裂缝的扩散近似,而相域的演变描述了裂缝过程。我们通过使用二次劣化功能将相位领域与身体的散装能量连接到身体的块状能量期间,在裂缝期间丢失材料僵硬。应用体积偏离偏离的分裂以将裂缝行为区分张力,剪切和压缩。相场模型在内部有限元软件Seska内实现。这里,使用纽马克时间集成同时计算相位字段和位移。我们通过在张力和剪切下求解单边缘切口块来展示模型的能力。此外,我们还研究了长度参数和网格尺寸依赖性对解决方案的影响。

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