Transient Hygrothermoelastic Response of Cylindrical Media with Internal Sources via Memory-Dependent and Nonlocal Frameworks

Mendhe, Varsha; Lamba, Navneet Kumar

doi:10.22055/jacm.2026.49278.5859

Transient Hygrothermoelastic Response of Cylindrical Media with Internal Sources via Memory-Dependent and Nonlocal Frameworks

Articles in Press

Document Type : Research Paper

Authors

Varsha Mendhe ¹

Navneet Kumar Lamba ²

¹ Department of Mathematics, Rashtrasant Tukadoji Maharaj University, Nagpur, India

² Head Deptt. of Mathematics Shri Lemdeo Patil Mahavidyalaya, Nagpur, INDIA

10.22055/jacm.2026.49278.5859

Abstract

This study presents a unified framework for analyzing transient hygrothermoelastic responses in infinitely long solid cylinders with internal sources. By combining memory‑dependent derivatives and Eringen‑type nonlocal elasticity, the model extends classical formulations to capture wave‑like transport and history effects. Analytical solutions for temperature, moisture, and stress fields are derived via Laplace transforms and numerically inverted using Brancik’s Fourier‑series method. Results reveal the roles of relaxation times, phase‑lag effects, and kernel‑dependent attenuation in predicting source‑driven amplification under environmental fluctuations. The framework offers direct relevance to aerospace composites and resilient engineering systems.

Keywords

Memory-dependent derivatives

nonlocal elasticity

cylindrical geometry

internal heat and moisture sources

phase-lag effects

Subjects