Formulation of Explicit Nonlinear Thermoelastic Terms Using Additive Thermal Strains

Authors

David John Neiferd, Air Force Research Laboratory
Ramana V. Grandhi, Air Force Institute of TechnologyFollow
Joshua D. Deaton, Air Force Research Laboratory
Philip S. Beran, Air Force Research Laboratory

Document Type

Article

Publication Date

6-2025

Abstract

A new method of including geometrically nonlinear thermoelastic effects in a total Lagrangian finite element formulation is developed and demonstrated. This method provides explicit formulas for the thermoelastic terms, allows greater insight into the relationship between linear and nonlinear thermoelasticity and provides alternative nonlinear solution methods. The explicit formulation is accomplished through defining a new thermal strain term, called the additive thermal strain. The relative difference between the exact thermoelastic load and commonly used approximations is investigated. It is shown that the geometrically nonlinear thermoelastic formulation reduces to the standard linear thermoelastic formulation with appropriate assumptions.

Comments

This article is published by AIAA as cited, and is accessible by subscription or purchase using the DOI link on this page.

DOI

10.2514/1.J063512

Source Publication

AIAA Journal (ISSN 0001-1452, 1533-385X)

Recommended Citation

Neiferd, D. J., Grandhi, R. V., Deaton, J. D., & Beran, P. S. (2025). Formulation of Explicit Nonlinear Thermoelastic Terms Using Additive Thermal Strains. AIAA Journal, 63(6), 2382–2392. https://doi.org/10.2514/1.J063512