Free Vibration of Cracked MEE FG Plates Resting on Elastic Foundations Using Phase-Field Simulation
Publication: Journal of Engineering Mechanics
Volume 149, Issue 11
Abstract
In this study, free oscillation of a cracked smart plate made of magneto-electro-elastic functionally graded materials (MEE-FGMs) lying on a Pasternak elastic foundation is investigated according to high-order shear deformation theory (HSDT). The MEE properties of the functionally graded plate are assumed to vary through the thickness direction and are estimated with the power-law rule. The cracks are in the center of the sheet with variable length and angle of inclination. Phase-field theory is used to simulate the crack state of smart plates. A detailed parametric analysis was performed to evaluate the effects of electric and magnetic fields, thickness ratio, power-law index, elastic foundation, and crack geometry on the free vibrational properties of magneto-electro-elastic functionally graded plates.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The available items include the details of establishing formulations and solving problems, the detailed data shown in the figures, and the calculation code for the free vibration frequency of cracked plates.
Acknowledgments
Pham Minh Phuc was funded by the Vietnam Ministry of Education and Training under Grant No. B2022-GHA-02. Nguyen Dinh Duc was funded by Project CN.22.11 of VNU Hanoi–University of Engineering and Technology. The authors are grateful for this support.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 11 • November 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Nov 28, 2022
Accepted: Jul 3, 2023
Published online: Aug 30, 2023
Published in print: Nov 1, 2023
Discussion open until: Jan 30, 2024
ASCE Technical Topics:
- Continuum mechanics
- Cracking
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Elastic analysis
- Elastic foundations
- Engineering mechanics
- Forces (type)
- Foundations
- Fracture mechanics
- Geotechnical engineering
- Magnetic fields
- Material mechanics
- Material properties
- Materials engineering
- Motion (dynamics)
- Plates
- Shear deformation
- Solid mechanics
- Structural analysis
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
- Thickness
- Vibration
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