International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 7, Issue 3 (May-June 2025) Submit your research before last 3 days of June to publish your research paper in the issue of May-June.
Submit Research Paper Join as a Reviewer

Plagiarism is checked by the leading plagiarism checker TurnItIn

Call for Paper

Volume 7 Issue 3
May-June 2025

Submit your research paper

Indexing Partners
Academia Advanced Sciences Index Bielefeld Academic Search Engine CiteSeer DRJI Google Scholar Independent Search Engine & Directory Network ISI (International Scientific Indexing) Issuu Mendeley Research Networks
RefSeek ResearcherId - Thomson Reuters ResearchGate Scirus Scribd Semantic Scholar UTeM - Universiti Teknikal Malaysia Melaka Wiki for Call for Papers WorldCat Zenodo

Thermoelasticity in Modern Materials: A Review of Linear and Nonlinear Mathematical Models

Author(s) Mr. Sachin B Lonare
Country India
Abstract Thermoelasticity, the mathematical study of the interaction between mechanical deformations and thermal effects in solids, plays a foundational role in modeling the behavior of advanced engineering systems and materials. This review presents a comparative analysis of linear and nonlinear thermoelastic models, emphasizing their mathematical formulations, physical assumptions, and practical applications. Linear thermoelasticity is explored in the context of
classical elasticity theory, with governing equations derived under small strain and constant material property assumptions. Nonlinear thermoelasticity is then examined as a generalization that incorporates large deformations, temperature-dependent parameters, and thermal memory effects. Key developments in theoretical approaches, including micropolar continua, fractal models, and hybrid data-driven frameworks, are discussed with reference to recent literature. Applications in structural engineering, MEMS/NEMS, aerospace systems,
and smart materials are used to highlight the advantages and limitations of each modeling regime. The paper concludes by outlining challenges in computational efficiency, experimental validation, and multiphysics integration, offering future directions for research at the intersection of applied mathematics and material science.
Keywords Thermoelasticity, Nonlinear Continuum Mechanics, Micropolar Media, Thermal-Mechanical Coupling, Mathematical Modeling.
Field Mathematics
Published In Volume 7, Issue 3, May-June 2025
Published On 2025-06-15
DOI https://doi.org/10.36948/ijfmr.2025.v07i03.48069
Short DOI https://doi.org/g9qqcn
View / Download PDF File

Share this



E-ISSN 2582-2160
CrossRef

CrossRef DOI is assigned to each research paper published in our journal.

IJFMR DOI prefix is
10.36948/ijfmr

Downloads
Research Paper Format Copyright Permission Form and Undertaking Form Cover Page Vol 7 Isu 3Cover Page Vol 7 Isu 2Cover Page Vol 7 Isu 1

All research papers published on this website are licensed under Creative Commons Attribution-ShareAlike 4.0 International License, and all rights belong to their respective authors/researchers.

CC-BY-SA Open Access

About IJFMR
Fees & Payment
Current Issue
Publication Archive 		Submit Research Paper
Track Submission Status
Publication Guidelines
Publication Ethics
Peer Review & Plagiarism 		Join as a Reviewer
Editors & Reviewers
Reviewer Referral Program
Get Reviewer Membership Certi. 		Website/Journal Policies
Usage Policy
Content Policies
Privacy Policy
Contact Us +91-9687-828-838 editor@ijfmr.com