当前位置: X-MOL 学术Adv. Model. and Simul. in Eng. Sci. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A non-intrusive global/local approach applied to phase-field modeling of brittle fracture.
Advanced Modeling and Simulation in Engineering Sciences Pub Date : 2018-05-18 , DOI: 10.1186/s40323-018-0105-8
Tymofiy Gerasimov 1 , Nima Noii 1 , Olivier Allix 2 , Laura De Lorenzis 1
Affiliation  

This paper aims at investigating the adoption of non-intrusive global/local approaches while modeling fracture by means of the phase-field framework. A successful extension of the non-intrusive global/local approach to this setting would pave the way for a wide adoption of phase-field modeling of fracture, already well established in the research community, within legacy codes for industrial applications. Due to the extreme difference in stiffness between the global counterpart of the zone to be analized locally and its actual response when undergoing extensive cracking, the main foreseen issues are robustness, accuracy and efficiency of the fixed point iterative algorithm which is at the core of the method. These issues are tackled in this paper. We investigate the convergence performance when using the native global/local algorithm and show that the obtained results are identical to the reference phase-field solution. We also equip the global/local solution update procedure with relaxation/acceleration techniques such as Aitken's Δ 2 -method, the Symmetric Rank One and Broyden's methods and show that the iterative convergence can be improved significantly. Results indicate that Aitken's Δ 2 -method is probably the most convenient choice for the implementation of the approach within legacy codes, as this method needs only tools already available for the so-called sub-modeling approach, a strategy routinely used in industrial contexts.

中文翻译:

一种应用于脆性断裂相场建模的非侵入式全局/局部方法。

本文旨在研究在通过相场框架对断裂进行建模时采用非侵入式全局/局部方法。将非侵入式全局/局部方法成功扩展到这种设置将为广泛采用断裂相场建模铺平道路,这种建模在研究界已经在工业应用的遗留代码中得到了很好的确立。由于局部分析区域的整体刚度与其在发生大范围裂纹时的实际响应之间存在极大的刚度差异,因此可预见的主要问题是作为核心的定点迭代算法的鲁棒性、准确性和效率。方法。本文将解决这些问题。我们研究了使用本地全局/局部算法时的收敛性能,并表明所获得的结果与参考相场解相同。我们还为全局/局部解更新过程配备了松弛/加速技术,例如 Aitken 的 Δ 2 方法、对称秩一法和 Broyden 方法,并表明迭代收敛性可以得到显着改善。结果表明,Aitken 的 Δ 2 方法可能是在遗留代码中实现该方法的最方便的选择,因为该方法仅需要已可用于所谓的子建模方法(工业环境中常规使用的策略)的工具。
更新日期:2019-11-01
down
wechat
bug