KleinGordon nonlocal dynamics of porous piezo-thermoelastic medium with surface irregularity under fractional-order modified LS model
- Title
- KleinGordon nonlocal dynamics of porous piezo-thermoelastic medium with surface irregularity under fractional-order modified LS model
- Creator
- Das, Soumik; Gupta, Vipin; Dutta, Rachaita; Singhal, Abhinav; Peng, Wei; Sur, Abhik
- Description
- The miniaturization of devices alongside advances in thermal management technologies necessitates the generalization of heat conduction and thermal elastic coupling to faithfully represent material responses at ultrashort temporal scales. Motivated by viscoelastic mechanical analogies, this work develops an analytical framework for investigating vibrational behavior in an orthotropic, size-dependent piezo-thermoelastic substrate featuring voids, modeled within the Modified LordShulman (MLS) thermoelasticity theory augmented by fractional derivatives. Employing the KleinGordon nonlocal elasticity formulation, the governing equations of motion are rigorously derived. The normal mode method facilitates the examination of coupled thermoelectro-mechanical excitation phenomena. Emphasis is placed on a corrugated interface contiguous to a vacuum, where comprehensive boundary conditions encompassing thermal, electrical, mechanical, and stress equilibria are imposed to determine fundamental field variables. The study systematically evaluates the influence of pivotal parameters, including temporal evolution, nonlocality characteristics, and spatial coordinates, on the thermomechanical and electrical responses, with outcomes substantiated through detailed graphical representations. Although previous investigations have addressed vibrations in porous piezo-thermoelastic media under varying theoretical constructs, the current research uniquely elucidates the dynamic response of a size-dependent porous piezo-thermoelastic medium with a corrugated surface within the fractional-order modified LordShulman framework, marking a significant advancement in the modeling of smart microstructured materials. The Author(s), under exclusive licence to Springer Nature B.V. 2026.
- Source
- International Journal of Mechanics and Materials in Design;Volume;22;Issue;2;Article No.;77;
- Date
- 01-01-2026
- Publisher
- Springer Science and Business Media B.V.
- Subject
- Fractional-order derivative; Irregularity; KleinGordon operator; Modified LordShulman model; Piezoelectric; Voids
- Coverage
- Das S., School of Physical Sciences, Amrita Vishwa Vidyapeetham University, Coimbatore, India; Gupta V., Department of Mathematics, Gurugram University, Gurgaon, India; Dutta R., School of Computing, Amrita Vishwa Vidyapeetham University, Coimbatore, India; Singhal A., Department of Mathematics, christ university, Bangalore, India; Peng W., Heilongjiang University of Science and Technology, Harbin, China; Sur A., Sister Nivedita University, Kolkata, India
- Rights
- Restricted Access; Hardcopy may be available in the library
- Relation
- ISSN: 15691713;
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Das, Soumik; Gupta, Vipin; Dutta, Rachaita; Singhal, Abhinav; Peng, Wei; Sur, Abhik, “KleinGordon nonlocal dynamics of porous piezo-thermoelastic medium with surface irregularity under fractional-order modified LS model,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21929.