Adaptive phase-field modeling of three-dimensional thermally-induced brittle fracture in COMSOL

IF 2.8 3区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

International Journal of Fracture Pub Date : 2026-03-28 DOI:10.1007/s10704-026-00918-x

Jia-Nan He, Sundararajan Natarajan, Weihua Fang, Tiantang Yu

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Abstract

This work proposes an adaptive thermomechanical phase-field framework for simulating three-dimensional (3D) thermally-induced fracture in brittle materials. Adaptive mesh refinement is performed via the COMSOL application programming interface (API), using a user-defined phase-field threshold as the refinement indicator. COMSOL’s built-in adaptive meshing produces a locally refined mesh without hanging nodes. A staggered iteration scheme is adopted to ensure computational robustness of the fracture phase-field framework. To further improve computational efficiency in 3D fracture problems, the restarted generalized minimum residual (GMRES) method, combined with smoothed aggregation algebraic multigrid (SAAMG), is adopted as an iterative linear system solver. Through the analysis of three numerical examples, the accuracy and efficiency of the present framework can be validated. The open-source model enables users without programming experience to simulate fractures in a multiphysics environment.

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COMSOL三维热致脆性断裂自适应相场建模

本工作提出了一种自适应热力学相场框架，用于模拟脆性材料的三维（3D）热致断裂。自适应网格细化通过COMSOL应用程序编程接口（API）执行，使用用户定义的相场阈值作为细化指标。COMSOL内置的自适应网格产生一个局部细化的网格，没有挂节点。为了保证断裂相场框架的计算鲁棒性，采用了交错迭代方案。为了进一步提高三维裂缝问题的计算效率，采用重新启动广义最小残差（GMRES）方法，结合光滑聚集代数多重网格（SAAMG）作为迭代线性系统求解器。通过三个数值算例的分析，验证了该框架的准确性和有效性。开源模型使没有编程经验的用户能够在多物理场环境中模拟裂缝。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Fracture 物理-材料科学：综合

CiteScore

4.80

自引率

8.00%

发文量

审稿时长

13.5 months

期刊介绍： The International Journal of Fracture is an outlet for original analytical, numerical and experimental contributions which provide improved understanding of the mechanisms of micro and macro fracture in all materials, and their engineering implications. The Journal is pleased to receive papers from engineers and scientists working in various aspects of fracture. Contributions emphasizing empirical correlations, unanalyzed experimental results or routine numerical computations, while representing important necessary aspects of certain fatigue, strength, and fracture analyses, will normally be discouraged; occasional review papers in these as well as other areas are welcomed. Innovative and in-depth engineering applications of fracture theory are also encouraged. In addition, the Journal welcomes, for rapid publication, Brief Notes in Fracture and Micromechanics which serve the Journal''s Objective. Brief Notes include: Brief presentation of a new idea, concept or method; new experimental observations or methods of significance; short notes of quality that do not amount to full length papers; discussion of previously published work in the Journal, and Brief Notes Errata.