2023/10/11 by Marcio A. Jorge Silva, Silva, Marcio A. Jorge, To Fu +1
Engineering · #35Q79 #74A15 #74F05 #74K10 #80A05 #Analysis of PDEs (math.AP) #Composite Structure Analysis and Optimization #Elasticity and Material Modeling #FOS: Mathematics #Structural Load-Bearing Analysis
paper · pdf · doi:10.48550/arxiv.2310.07496
openalex publication_date 2023/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.