A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture

IF 2.7 3区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Deepak B. Jadhav, Dhananjay Phansalkar, Kerstin Weinberg, Michael Ortiz, Sigrid Leyendecker
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引用次数: 0

Abstract

Phase field modeling of fracture has gained attention as a relatively simple and fundamental approach to predict crack propagation. However, the significant computational demands still pose challenges, particularly in dynamic simulations. To mitigate these challenges, we present a newly devised asynchronous variational integrator (AVI) for phase field modeling of dynamic fracture, implemented within the framework of the finite element library FEniCS. The AVI allows each spatial mesh element to progress independently with its own characteristic time step. In the new approach, displacement updates occur as usual at each time step, while the phase field is globally solved after the displacement update of the largest spatial mesh element rather than after each time step. Benchmark problems are investigated to assess the performance and reliability of the new method, revealing notable computational savings while effectively capturing intricate dynamic fracture behavior.

Abstract Image

动态断裂相场模型的异步变分积分新方法
相场断裂模型作为预测裂纹扩展的一种相对简单和基本的方法,受到了广泛的关注。然而,巨大的计算需求仍然带来了挑战,特别是在动态模拟中。为了缓解这些挑战,我们提出了一种新设计的异步变分积分器(AVI),用于动态裂缝的相场建模,在有限元库FEniCS框架内实现。AVI允许每个空间网格元素以其自己的特征时间步长独立前进。在该方法中,位移更新像往常一样在每个时间步进行,而相位场在最大空间网格单元的位移更新之后进行全局求解,而不是在每个时间步之后进行。通过研究基准问题来评估新方法的性能和可靠性,发现在有效捕获复杂动态裂缝行为的同时显著节省了计算量。
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来源期刊
CiteScore
5.70
自引率
6.90%
发文量
276
审稿时长
5.3 months
期刊介绍: The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
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