ItemArticle

On the Wave Propagation and Dynamic Response of a Spherical Cavity in Piezoelectric Microstructures via Rabotnov Kernel-Based MooreGibsonThompson Thermoelasticity Theory

Title
On the Wave Propagation and Dynamic Response of a Spherical Cavity in Piezoelectric Microstructures via Rabotnov Kernel-Based MooreGibsonThompson Thermoelasticity Theory
Creator
Sur, Abhik; Gupta, Vipin; Singhal, Abhinav; Yaylac?, Murat; Das, Soumik
Description
This study investigates the transient dynamic response and thermomechanical stability of a transversely isotropic piezoelectric medium featuring a spherical cavity. To accurately model the small-scale effects inherent in advanced structural components, a spatiotemporal nonlocal elasticity framework of the KleinGordon type is employed, incorporating both internal length and intrinsic time scale parameters. The governing equations of the MooreGibsonThompson (MGT) thermoelastic model are reformulated using a nonsingular Rabotnov-type fractional exponential kernel, providing a robust mathematical formulation to capture memory-dependent interactions without the paradox of infinite propagation speeds. The structural boundary of the cavity is subjected to a ramp-type thermal loading and electrical grounding, simulating realistic operational conditions for sensors and actuators. Using the Laplace transform technique and the Zakian numerical inversion method, the transient distributions of temperature, displacement, stress, and electric potential are derived. The results highlight the significant influence of the Rabotnov fractional parameter and spatiotemporal nonlocality on the structural stability and wave-front characteristics. This research provides a unique medium for understanding the latest developments in fractional-order dynamics for piezoelectric micro- and nano-structures, offering practical insights for civil, aerospace, and mechanical engineering applications. 2026 World Scientific Publishing Company.
Source
International Journal of Structural Stability and Dynamics;Issue;;Article No.;2642015;
Date
01-01-2026
Publisher
World Scientific
Subject
cavity; fractional-order parameter; MooreGibsonThompson (MGT) theory; Piezoelectric material; Rabotnov-type exponential kernel; spatiotemporal nonlocality
Coverage
Sur A., Department of Mathematics, Sister Nivedita University, West Bengal, Kolkata, 700156, India; Gupta V., Department of Mathematics, Gurugram University, Haryana, Gurugram, 122018, India; Singhal A., Department of Mathematics, Christ University, Karnataka, Bengaluru, 560029, India; Yaylac? M., Department of Civil Engineering, Recep Tayyip Erdogan University, Rize, 53100, Turkey; Das S., School of Physical Sciences, Amrita Vishwa Vidyapeetham, Karnataka, Mysuru, 570026, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 2194554;
Format
online
Language
English
Type
Article

Citation

Sur, Abhik; Gupta, Vipin; Singhal, Abhinav; Yaylac?, Murat; Das, Soumik, “On the Wave Propagation and Dynamic Response of a Spherical Cavity in Piezoelectric Microstructures via Rabotnov Kernel-Based MooreGibsonThompson Thermoelasticity Theory,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23022.

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