Fractional piezoelectric thermo-viscoelastic materials with variable properties

• Published in: Journal of thermal stresses Vol. 48; no. 4; pp. 441 - 457
• Main Authors: Hendy, Mohamed H., Ezzat, Magdy A.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 03.04.2025; Taylor & Francis Ltd
• Subjects: Half spaces; Heat conductivity; Heat transfer; Laplace transforms; Material properties; Mechanical properties; Piezoelectric material with thermal properties; Piezoelectricity; Rheological properties; rheological properties of the volume; Rheology; theory of thermal viscoelasticity; Thermal conductivity; Thermal shock; Viscoelastic materials; Viscoelasticity
• ISSN: 0149-5739; 1521-074X
• DOI: 10.1080/01495739.2025.2465402

This study explores the thermal dynamics within half-space involving fractional viscoelastic piezoelectric materials characterized by variable thermal conductivity and significant rheological properties. It is presumed that the boundary surface of the half-space is unrestrained and subject to a time-varying thermal shock. The challenges were tackled using analytical techniques in the transformed domain, employing Laplace transform as a tool. An accurate solution is derived within the scope of Laplace transformation. Both visual illustrations and quantitative data are provided for each focus area. Relationships have been drawn between the findings obtained while omitting certain parameters. The impacts of fractional order, variable thermal and volume properties of materials on all field's behavior are being analyzed. The outcomes portrayed in every graphic demonstrate that the impact of variable thermal conductivity along with crucial rheological characteristics considerably affects all field values. This finding could aid in the development and examination of thermal mechanical properties of piezoelectric viscoelastic materials.