Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Shuaishuai Hu, Junlin Li
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引用次数: 0

Abstract

The mechanical behavior of the fine-grained piezoelectric/substrate structure with multiple interface cracks under the electromechanical impact loading is investigated. Using the Laplace and Fourier integral transforms, the double-coupled singular integral equations and single-valued conditions of the problems are formulated. Both the singular integral equation and single-valued conditions are simplified into an algebraic equation through the Chebyshev point placement method and solved by numerical calculation. Then, the expression of the dynamic energy release rate is given with the help of the dynamic intensity factors of electric displacement and stress obtained. Finally, numerical results of the dynamic energy release rate with material parameters are demonstrated. The results show that the dynamic energy release rate depends on the size of the interface cracks, coating thickness, and the mechanical–electrical loading. Meanwhile, the fine-grained piezoelectric structures exhibit safer structural performance compared to normal one.
细粒度涂层复合结构中的多界面裂缝在冲击载荷下的瞬态响应
研究了具有多条界面裂缝的细粒压电/基底结构在机电冲击载荷下的力学行为。利用拉普拉斯积分变换和傅立叶积分变换,提出了问题的双耦合奇异积分方程和单值条件。通过切比雪夫点放置法将奇异积分方程和单值条件简化为代数方程,并通过数值计算求解。然后,借助得到的电位移和应力的动态强度因子,给出了动能释放率的表达式。最后,展示了动能释放率随材料参数变化的数值结果。结果表明,动能释放率取决于界面裂纹的大小、涂层厚度和机械-电载荷。同时,与普通结构相比,细粒压电结构表现出更安全的结构性能。
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
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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