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A new numerical methodology for simulation of unstable crack growth in time independent brittle materials

机译：一种新的数值方法，用于模拟不稳定裂缝增长的独立脆性材料

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摘要

This paper focuses on a new algorithm for the quasi-static simulation of unstable crack propagation in time-independent brittle material. The proposed approach is based on a combination of the standard Newton's algorithm with a fictive path loading algorithm. First, a time step refinement process, associated to the Newton's algorithm, enables us to efficiently detect the beginning of unstable crack extension. Then, a fictive path loading algorithm is performed to assess an estimation of the post instability solution. Finally, this estimated solution is used as initial guess in the standard Newton's algorithm for the same time increment. The final converged solution satisfies both the mechanical equilibrium and the mechanical behaviour integration. This paper highlights several advantages of the proposed algorithm such as robustness, easy implementation on an existing Newton's type solver, genericity for different unstable nonlinear physical problems. An application of this new method is presented for a smeared crack model, based on a local continuous damage formulation, devoted to the simulation of brittle nuclear fuel rupture. The efficiency of the proposed algorithm is demonstrated through a set of 2d and 3d simulation results. (C) 2017 Elsevier Ltd. All rights reserved.
机译：本文重点介绍了一种新的算法，用于时间无关脆性材料的不稳定裂纹传播的准静态模拟。所提出的方法基于标准牛顿算法与虚构路径加载算法的组合。首先，与牛顿算法相关的时间步骤细化过程使我们能够有效地检测不稳定的裂缝扩展的开始。然后，执行虚构路径加载算法以评估稳定性解的估计。最后，此估计的解决方案用于标准牛顿算法中的初始猜测，同时增量。最终收敛的解决方案满足机械平衡和机械行为整合。本文突出了所提出的算法的若干优点，如鲁棒性，易于实现现有的牛顿型求解器，易于不同不稳定的非线性物理问题。基于局部连续损伤制剂的涂抹裂缝模型提出了这种新方法的应用，旨在拟合脆性核燃料破裂的模拟。通过一组2D和3D仿真结果证明了所提出的算法的效率。 （c）2017 Elsevier Ltd.保留所有权利。

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  • 来源
    《Engineering Fracture Mechanics》 |2018年第2018期|共25页
  • 作者

    Michel B.; Helfer T.; Ramiere I.; Esnoul C.;

  • 作者单位

    CEA DEN DEC SESC LSC Bat 151 Ctr Cadarache F-13108 St Paul Les Durance France;

    CEA DEN DEC SESC LSC Bat 151 Ctr Cadarache F-13108 St Paul Les Durance France;

    CEA DEN DEC SESC LSC Bat 151 Ctr Cadarache F-13108 St Paul Les Durance France;

    EDF R&

    D Dept MMC Site Renardieres Ave Renardieres F-77818 Moret Sur Loing France;

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  • 正文语种 eng
  • 中图分类 工程力学;
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