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Fracture behaviours of brittle ceramics under elliptical ultrasonic vibration: near-to-limit contact analysis of an elastic flat punch

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Abstract

Conform and non-conformal contact problem in the face of piezoelectric motors can be hard to grasp, especially both the friction drive and wear lifespan are considered. Flowing the classical contact issue, an elastic brittle flat punch as the driving tip of the stator for piezoelectric devices is chosen and the contact behaviour under elliptical ultrasonic vibration is investigated using finite element method. A limited stress analysis is conducted after the quasi-static contact of the driving tip and the slider of the linear ultrasonic motors. After the analytical traces and experimental test on the fracture failure induced by the stress actions, the failure criteria of the elastic brittle driving tip are discussed. Results show that this quasi-static method can be applied to the complex contact analysis of an elliptical vibration device, and the failure characteristics induced by stress and strain can be obtained by FEM simulation and experiment verification. The pre-fracture stress map provides an important basis for the design of the geometrical mutation edge (e.g. edge fillet) of the elastic brittle punch and the composite structure for strength capacity. The failure analysis of brittle materials under ultrasonic vibration requires attention on quasi-brittle and quasi-plastic strength criterions. This study focus on determination of the contact stresses and the limited states during the elliptical vibration of a stator tip against slider. It also is important for the analysis on failure modes of frictional materials of ultrasonic devices, fretting wear of high-frequency connecting parts and machining process assisted with ultrasonic vibration.

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Acknowledgements

We are grateful to the National Natural Science Foundation of China (51705210, 51705211), Provincial Natural Science Foundation of Anhui (1808085QE172), Key Projects of Anhui Provincial Department of Education (KJ2019A0680), Natural Science Foundation of the Jiangsu Higher Education Institutions of China (18KJB510007), Jiangsu Province Post-Doctoral Research Funding Scheme (2019K195, 2019K233) and State Key Laboratory of Mechanical System and Vibration Research Fund (MSV-2019-17) for providing research funds.

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Authors and Affiliations

  1. School of Mechanical Engineering, Chaohu University, Hefei, 238000, People’s Republic of China

    Zhiqiang Gong

  2. Institute of Advanced Manufacturing, Jiangsu University, 301 Xuefu Road, Zhenjiang, 212013, People’s Republic of China

    Yanhu Zhang, Hao Fu, Yuhua Zhou & Hongyu Liang

  3. School of Mechanical Engineering, Jiangsu University, 301 Xuefu Road, Zhenjiang, 212013, People’s Republic of China

    Jinghu Ji

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  1. Zhiqiang Gong
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Correspondence to Yanhu Zhang.

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Gong, Z., Zhang, Y., Fu, H. et al. Fracture behaviours of brittle ceramics under elliptical ultrasonic vibration: near-to-limit contact analysis of an elastic flat punch. Int J Mech Mater Des 17, 969–986 (2021). https://doi.org/10.1007/s10999-021-09564-8

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