Nonlinear analysis of bending, thermal buckling and post-buckling for functionally graded tubes by using a refined beam theory

2017 ◽  
Vol 165 ◽  
pp. 74-82 ◽  
Author(s):  
Gui-Lin She ◽  
Fuh-Gwo Yuan ◽  
Yi-Ru Ren
Keyword(s):  
Nonlinear Analysis ◽  
Beam Theory ◽  
Thermal Buckling ◽  
Functionally Graded ◽  
Post Buckling ◽  
Refined Beam Theory

A refined beam theory for bending and vibration of functionally graded tube-beams

2020 ◽  
Vol 236 ◽  
pp. 111878 ◽  
Author(s):  
Wei-Li Ma ◽  
Zi-Cheng Jiang ◽  
Kang-Yong Lee ◽  
Xian-Fang Li
Keyword(s):  
Beam Theory ◽  
Functionally Graded ◽  
Refined Beam Theory

Thermal Buckling and Postbuckling Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Beams

2016 ◽  
Vol 846 ◽  
pp. 182-187 ◽  
Author(s):  
He Long Wu ◽  
Sritawat Kitipornchai ◽  
Jie Yang
Keyword(s):  
Carbon Nanotube ◽  
Volume Fraction ◽  
Slenderness Ratio ◽  
Beam Theory ◽  
Thermal Buckling ◽  
Functionally Graded ◽  
Equilibrium Path ◽  
Temperature Dependent ◽  
Reinforced Composite ◽  
Beam Thickness

Thermal buckling and postbuckling of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams are investigated in this paper based on Timoshenko beam theory within the framework of von Kármán geometric nonlinearity. The material properties of FG-CNTRCs are assumed to be temperature-dependent and vary in the beam thickness direction. The governing equations are derived by employing Hamilton’s principle then discretized by using differential quadrature (DQ) method. An iterative scheme is used to obtain the critical buckling temperature and nonlinear thermal postbuckling equilibrium path of the FG-CNTRC beam. Numerical results are presented for FG-CNTRC beams hinged or clamped at both ends, with particular focuses on the effects of the volume fraction of carbon nanotubes (CNTs), slenderness ratio, and end supports on the thermal buckling and postbuckling characteristics.

Thermal Buckling of Functionally Graded Sandwich Beams

2019 ◽  
Vol 1156 ◽  
pp. 43-59 ◽  
Author(s):  
Ahmed Amine Daikh ◽  
Mohamed Guerroudj ◽  
Mohamed El Adjrami ◽  
Abdelkader Megueni
Keyword(s):  
Thermal Loading ◽  
Beam Theory ◽  
Form Solution ◽  
Thermal Buckling ◽  
Functionally Graded ◽  
Sigmoid Function ◽  
Sandwich Beams ◽  
Nonlinear Temperature ◽  
Inhomogeneity Parameter ◽  
Nonlinear Distribution

Thermal buckling of new model of functionally graded (FG) sandwich beams is presented in this study. Material properties and thermal expansion coefficient of FG sheets are assumed to vary continuously along the thickness according to either power-law (P-FGM) or sigmoid function (S-FGM) in terms of the volume fractions of the constituents. Equations of stability are derived based on the generalized higher-order shear deformation beam theory. Thermal loads are supposed to be constant, linear or nonlinear distribution along the thickness direction. An accurate form solution for nonlinear temperature variation through the thickness of S-FGM and P-FGM sandwich beams is presented. Numerical examples are presented to examine the influence of thickness ratio, the inhomogeneity parameter and the thermal loading kinds on the thermal buckling response of various types of FG sandwich beams.

Nonlinear analysis of functionally graded skewed and tapered wing-like plates including porosities: A bifurcation study

2021 ◽  
Vol 160 ◽  
pp. 107341
Author(s):  
Touraj Farsadi ◽  
Mohammad Rahmanian ◽  
Hasan Kurtaran
Keyword(s):  
Nonlinear Analysis ◽  
Functionally Graded

Nonlinear Analysis of Functionally Graded Axisymmetric Structures Under Thermal Environment

2019 ◽  
Author(s):  
José Moita ◽  
Jose Herskovits ◽  
Cristóvão Manuel Mota Soares
Keyword(s):  
Nonlinear Analysis ◽  
Thermal Environment ◽  
Functionally Graded ◽  
Axisymmetric Structures

Post-buckling inelastic analysis of thin-walled metal members using the Generalised Beam Theory

2019 ◽  
Author(s):  
Miguel Abambres ◽  
Dinar Camotim ◽  
Miguel Abambres
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Flow Theory ◽  
Promising Alternative ◽  
Inelastic Analysis ◽  
Post Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Generalised Beam Theory

A 2nd order inelastic Generalised Beam Theory (GBT) formulation based on the J2 flow theory is proposed, being a promising alternative to the shell finite element method. Its application is illustrated for an I-section beam and a lipped-C column. GBT results were validated against ABAQUS, namely concerning equilibrium paths, deformed configurations, and displacement profiles. It was concluded that the GBT modal nature allows (i) precise results with only 22% of the number of dof required in ABAQUS, as well as (ii) the understanding (by means of modal participation diagrams) of the behavioral mechanics in any elastoplastic stage of member deformation .

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