Surface elasticity-based framework for generalized thermoelastic dissipation in vibrating rectangular nanoplate resonators
Kareem A.K. Rodrigues P. Zaurbekova N. Patel J. Manjunath H.R. Khalaf A.J. Singh R. Samantaray S. Bupesh Raja V.K. Sapaev I.B.
2026Taylor and Francis Ltd.
Journal of Thermal Stresses
2026
Thermoelastic dissipation (TED) is a key intrinsic damping mechanism that constrains the performance and quality factor of micro- and nanoscale resonators, particularly when other loss sources are minimized. At nanometer scales, classical continuum mechanics and Fourier heat conduction become inadequate due to pronounced surface effects and nonclassical thermal transport. In this study, a size-sensitive analytical model is developed to evaluate TED in vibrating rectangular nanoplates by simultaneously incorporating surface theory for mechanical size dependence and the Moore-Gibson-Thompson (MGT) heat transfer model for generalized thermoelastic behavior. The governing equations of motion and heat conduction are derived within the framework of Kirchhoff plate theory, and the temperature field is obtained under the MGT formulation. By separating the real and imaginary parts of the complex frequency (CF) and employing the CF method, a compact single-term expression for TED is achieved. Model accuracy is verified through comparison with existing results, followed by a comprehensive parametric investigation of surface properties, plate geometry, boundary conditions, and material characteristics. The results demonstrate that surface effects and non-Fourier thermal behavior significantly influence TED in nanoscale plates, especially at small thicknesses and higher vibrational modes, underscoring the necessity of advanced size-dependent modeling for reliable nanoresonator design.
Complex frequency method , Moore-Gibson-Thompson thermoelasticity , rectangular nanoplates , size-sensitive analysis , surface theory , thermoelastic dissipation
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Biomedical Engineering Department, College of Engineering, Al-Mustaqbal University, Babil, Hillah, Iraq
Department of Computer Engineering, College of Computer Science, King Khalid University, Al-Faraa, Saudi Arabia
Department of Physics, Kazakh National Women’s Pedagogical University, Almaty, Kazakhstan
School of Engineering and Technology, Dr. Subhash University, Junagadh, India
Department of Physics, School of Engineering and Technology, JAIN (Deemed to be University), Karnataka, Bangalore, India
Radiology Techniques Department, College of Medical Technology, The Islamic University, Najaf, Iraq
Department of Mechanical Engineering, University Institute of Engineering and Technology, Chandigarh University, Mohali, India
Department of Mechanical Engineering, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, India
Department of Mechanical Engineering, Sathyabama Institute of Science and Technology, Tamil Nadu, Chennai, India
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, National Research University, Tashkent, Uzbekistan
University of Tashkent for Applied Sciences, Tashkent, Uzbekistan
School of Engineering, Central Asian University, Tashkent, Uzbekistan
Western Caspian University, Baku, Azerbaijan
Biomedical Engineering Department
Department of Computer Engineering
Department of Physics
School of Engineering and Technology
Department of Physics
Radiology Techniques Department
Department of Mechanical Engineering
Department of Mechanical Engineering
Department of Mechanical Engineering
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
University of Tashkent for Applied Sciences
School of Engineering
Western Caspian University
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