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arXiv · 2310.07496

Fundamentals of thermoelasticity for curved beams

Marcio A. Jorge Silva·To Fu Ma
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Abstract

The purpose of this paper is twofold. Firstly, we conduct an in-depth analysis of mathematical modeling concerning thermal-mechanical curved beams, by taking into consideration three primary forces widely accepted in the literature: axial load, shear force, and bending moment. Additionally, we examine their appropriate thermal couplings, shedding light on the intricate interplay between stress-strain relationships and temperature variations. This analysis is situated within the well-recognized context of the Bresse governing model for arched beams. Secondly, drawing upon distinguished constitutive laws for heat flux of conduction, we compile a comprehensive list of thermoelastic curved beam systems in various scenarios. We introduce new categories of problems that exhibit specific features from the thermal point of view.

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Marcio A. Jorge Silva, To Fu Ma. 2023-10-11. Fundamentals of thermoelasticity for curved beams. https://arxiv.org/abs/2310.07496

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