Nonlinear thermal dynamic buckling of FGM beams

Ghiasian, S.E.; Kiani, Y.; Eslami, Mohammad H.

doi:10.1016/j.euromechsol.2015.07.004

Cited by 61 publications

(12 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sankar and Tzeng [26] used CBT to study the thermal stresses of simply supported FG beams. The FOBT was employed to investigate various behaviours of FG beams such as dynamic responses under a moving load [27], thermal stability with non-linear hardening elastic foundations [28], thermal dynamic buckling [29], and thermal buckling and post-buckling with non-linear elastic foundation [30]. Wattanasakulpong et al [31] used Ritz method based on the HOBT to study the buckling and vibration of FG beams, however, it was limit on uniform temperature distribution only.…”

Section: Introductionmentioning

confidence: 99%

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

Trinh

Vo²,

Thai

et al. 2016

Composites Part B: Engineering

View full text Add to dashboard Cite

An analytical method for vibration and buckling behaviours of Functionally Graded (FG) beams with various boundary conditions under mechanical and thermal loads is presented. Based on linear straindisplacement relations, equations of motion and essential boundary conditions are derived from Hamilton's principle. In order to account for thermal effects, three cases of the temperature rise through the thickness, which are uniform, linear and nonlinear, are considered. The exact solutions are derived using the state space approach. Numerical results are presented to investigate the effects of boundary conditions, temperature distributions, material parameters and slenderness ratios on the critical temperatures, critical buckling loads, and natural frequencies as well as load-frequencies curves, temperature-frequencies curves of FG beams under thermal/mechanical loads. The accuracy and effectiveness of proposed model are verified by comparison with previous research.

show abstract

Section: Introductionmentioning

confidence: 99%

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

Trinh

Vo²,

Thai

et al. 2016

Composites Part B: Engineering

View full text Add to dashboard Cite

show abstract

“…Esfahani et al [28] studied nonlinear thermal buckling of FG beams. The nonlinear thermal dynamic buckling of FG beams is also investigated by Ghiasian et al [29]. Ma and Lee [30] proposed exact solutions for nonlinear bending behaviour of FG beams under an in-plane thermal loading.…”

Section: Introductionmentioning

confidence: 99%

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Nguyen

et al. 2017

Composite Structures

View full text Add to dashboard Cite

Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.)Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams AbstractThe hygro-thermal effects on vibration and buckling analysis of functionally graded beams are presented in this paper. The present work is based on a higher-order shear deformation theory which accounts for a hyperbolic distribution of transverse shear stress and higher-order variation of in-plane and out-of-plane displacements. Equations of motion are obtained from Lagrange's equations. Ritz solution method is used to solve problems with different boundary conditions. Numerical results for natural frequencies and critical buckling temperatures of functionally graded beams are compared with those obtained from previous works. Effects of power-law index, span-to-depth ratio, transverse normal strain, temperature and moisture changes on the results are discussed.

show abstract

“…Besides material inhomogeneity, geometric nonlinear deformation is another complex problem in FGM beams, plates and shells that attracted great interests from the researchers [10]. However, most of the existing studies on FGM structures deal with weak geometric nonlinearity within the framework of von Kármán type nonlinear strain-displacement relations only [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation of pressurized functionally graded elastomeric hollow cylinders

Chen

Liu

Kitipornchai

et al. 2017

Composites Part B: Engineering

View full text Add to dashboard Cite

Various bifurcation behaviors, including asymmetric axial buckling induced by end thrust, bifurcation under external pressure, and eversion without any loading, of a soft circular hollow cylinder (or cylindrical shell) composed of functionally graded incompressible elastomeric material are considered in a unified way. Based on the nonlinear elasticity theory of a deformable continuous body undergoing large deformation and the linearized incremental theory for a superimposed infinitesimal deformation, an efficient approach for buckling analysis is developed and applied to the cylinder subjected to a combination of axial end thrust and internal/external pressure. It is based on the state-space formalism, which naturally avoids the derivatives of instantaneous material constants, enabling a convenient and accurate numerical implementation. Along with the layerwise method, an analytical characteristic equation (i.e. the bifurcation criterion) governing the general asymmetric buckling of the cylinder is derived. Detailed parametric studies are then carried out for a pressurized soft functionally graded hollow cylinder using an incompressible Mooney-Rivlin material model. The effects of material gradient on bifurcation induced either by end thrust or external pressure are discussed through numerical examples. Not only does this study provide an efficient tool for buckling analysis of soft cylinders, some findings that are unique to a functionally graded material are also highlighted. All in all, it is found highly possible to tune the bifurcation behavior of soft elastomeric cylindrical shells by tailoring material composition and/or adjusting the pressures acting on the surfaces of the cylinder.

show abstract

Nonlinear thermal dynamic buckling of FGM beams

Cited by 61 publications

References 51 publications

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads

Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Bifurcation of pressurized functionally graded elastomeric hollow cylinders

Contact Info

Product

Resources

About