Techno Press
You logged in as. You Query in as select * from journal_sem where volume=44 and num=1 and ordernum=8 Techno Press

Structural Engineering and Mechanics
  Volume 44, Number 1, October10 2012 , pages 109-125
DOI: https://doi.org/10.12989/sem.2012.44.1.109
 

Post-buckling analysis of Timoshenko beams with temperature-dependent physical properties under uniform thermal loading
Seref Doguscan Akbas and Turgut Kocaturk

 
Abstract
    Post-buckling behavior of Timoshenko beams subjected to uniform temperature rising with temperature dependent physical properties are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. The beam is clamped at both ends. In the case of beams with immovable ends, temperature rise causes compressible forces end therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. Also, the material properties (Young\'s modulus, coefficient of thermal expansion, yield stress) are temperature dependent: That is the coefficients of the governing equations are not constant in this study. This situation suggests the physical nonlinearity of the problem. Hence, the considered problem is both geometrically and physically nonlinear. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton- Raphson iteration method. The beams considered in numerical examples are made of Austenitic Stainless Steel (316). The convergence studies are made. In this study, the difference between temperature dependent and independent physical properties are investigated in detail in post-buckling case. The relationships between deflections, thermal post-buckling configuration, critical buckling temperature, maximum stresses of the beams and temperature rising are illustrated in detail in post-buckling case.
 
Key Words
    temperature dependent physical properties; thermal post-buckling analysis; total lagrangian finite element model; Timoshenko beam; uniform temperature rise
 
Address
Seref Doguscan Akbas and Turgut Kocaturk: Department of Civil Engineering, Yildiz Technical University, Davutpasa Campus, 34210 Esenler, Istanbul, Turkey
 
Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2026 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: admin@techno-press.com