磁-电弹性材料脆性断裂的四阶相场模型及一类新的退化函数

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-05-31 DOI:10.1016/j.enganabound.2025.106323

Changyu Wang , Liming Zhou

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引用次数: 0

摘要

本文建立了磁电弹性材料脆性断裂的热力学一致的四阶相场模型。采用多物理场混合交错（MPHS）方案对多物理场裂缝问题进行解耦和顺序求解。提出了一种新的对数退化函数族（DF），并通过几个分析实例证明了它相对于其他流行的DF的优越性。系统地进行了二维和三维数值模拟，讨论了外加电磁场和边界渗透率对裂纹萌生和扩展的影响。这项工作提出了基于mee的结构完整性评估方法。

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Fourth-order phase-field models with a novel family of degradation functions for brittle fracture in magneto-electro-elastic materials

In this paper, a thermodynamically consistent fourth-order phase-field model for brittle fracture in magneto-electro-elastic (MEE) materials is developed. The multi-physics fracture problem is decoupled and solved sequentially using a multi-physics hybrid staggered (MPHS) scheme. A novel family of logarithmic degradation functions (DF) is proposed, the superiority of which over other popular DFs is demonstrated through several analytical examples. Systematic 2D and 3D numerical simulations are performed to discuss the effects of external electro-magnetic fields and the boundary permeabilities on crack initiation and propagation. This work advances the assessment methodology for the integrity of MEE-based structures.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.