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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Elastic damage to crack transition in a coupled non-local implicit discontinuous Galerkin/extrinsic cohesive law framework
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Elastic damage to crack transition in a coupled non-local implicit discontinuous Galerkin/extrinsic cohesive law framework

机译：耦合的非局部隐式不连续Galerkin /外在内聚法则框架中的裂纹过渡弹性损伤

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摘要

One current challenge related to computational fracture mechanics is the modeling of ductile fracture and in particular the damage to crack transition. On the one hand, continuum damage models, especially in their non-local formulation which avoids the loss of solution uniqueness, can capture the material degradation process up to the localization of the damage, but are unable to represent a discontinuity in the structure. On the other hand cohesive zone methods can represent the process zone at the crack tip governing the crack propagation, but cannot account for the diffuse material damaging process. In this paper we propose to combine, in a small deformations setting, a non-local elastic damage model with a cohesive zone model. This combination is formulated within a discontinuous Galerkin finite element discretization. Indeed this DG weak formulation can easily be developed in a non-local implicit form and naturally embeds interface elements that can be used to integrate the traction separation law of the cohesive zone model. The method remains thus consistent and computationally efficient as compared to other cohesive element approaches. The effects of the damage to crack transition and of the mesh discretization are respectively studied on the compact tension specimen and on the double-notched specimen, demonstrating the efficiency and accuracy of the method.
机译：与计算断裂力学有关的当前挑战是韧性断裂的建模，尤其是对裂纹过渡的破坏。一方面，连续损伤模型，特别是在避免解决方案唯一性损失的非局部公式化中，可以捕获直到损伤局部的材料降解过程，但不能表示结构的不连续性。另一方面，内聚区方法可以代表控制裂纹扩展的裂纹尖端处的工艺区域，但不能解释扩散材料的破坏过程。在本文中，我们建议在较小的变形条件下，将非局部弹性损伤模型与内聚区模型结合起来。这种组合是在不连续的Galerkin有限元离散化条件下制定的。的确，这种DG弱公式可以轻松地以非局部隐式形式开发，并且自然地嵌入界面元素，这些元素可以用于整合粘性区域模型的牵引分离定律。因此，与其他内聚元素方法相比，该方法保持一致并且在计算上高效。分别研究了压紧试样和双缺口试样对裂纹过渡的破坏和网格离散的影响，证明了该方法的有效性和准确性。

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  • 作者

    L. Wu; G. Becker; L. Noels;

  • 作者单位

    University of Liege, Department of Aerospace and Mechanical Engineering, Computational & Multiscale Mechanics of Materials, Chemin des Chevreuils 1, B-4000 Liege, Belgium;

    Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, United States;

    University of Liege, Department of Aerospace and Mechanical Engineering, Computational & Multiscale Mechanics of Materials, Chemin des Chevreuils 1, B-4000 Liege, Belgium;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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