Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-02-27 DOI:10.1016/j.apm.2025.116041

Ritika Singh

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引用次数: 0

Abstract

An effective approach for the dynamic investigation of multiple interfacial cracks that emanate from circular holes in two bonded semi-infinite functionally graded piezoelectric materials (FGPM) has been devised. The interfacial cracks are considered to be permeable and are under the influence of steady-state SH waves. The boundary conditions are solved by utilizing the Green's function approach. The mechanical model of the interfacial cracks is constructed with the help of crack-conjunction and crack-deviation approaches that yield a series of first-kind Fredholm integral equations. Direct numerical integration of the series of equations aids in obtaining the analytical form of dynamic stress intensity factors (DSIFs) at the left and right crack tips. Furthermore, the findings of this article are also corroborated. The remarkable feature of this study is the visual presentation of the consequence of functionally graded parameter ratio, distance between cracks, interfacial cracks' length ratio, incident angle, and wave number on DSIFs.

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功能梯度双压电材料圆孔多界面裂纹动态断裂行为研究

提出了一种有效的双键合半无限功能梯度压电材料（FGPM）中由圆孔产生的多重界面裂纹的动态研究方法。界面裂缝被认为是可渗透的，并且受到稳态SH波的影响。采用格林函数法求解边界条件。利用裂纹-连接法和裂纹-偏差法建立了界面裂纹的力学模型，得到了一系列第一类Fredholm积分方程。对这一系列方程进行直接数值积分，得到了左右裂纹尖端动应力强度因子的解析形式。此外，本文的研究结果也得到了证实。本研究的显著特点是可视化地呈现了功能梯度参数比、裂缝间距、界面裂缝长度比、入射角和波数对DSIFs的影响。

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

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.