Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads

Tung, Hoang Van; Duc, Nguyen Dinh

doi:10.1016/j.compstruct.2009.10.015

Cited by 86 publications

(57 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Tung and Duc [17,18] presented an analytical approach based on the classical and higher order shear deformation theories to study the postbuckling behavior of thin and thick FGM plates without and with elastic foundations, respectively. The postbuckling behavior of shear deformable FGM plates subjected to compressive and thermal loads has also been analyzed by Lee et al [19] making use of the element-free kp-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Tung

2015

Composite Structures

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Tung

2015

Composite Structures

Self Cite

View full text Add to dashboard Cite

“…The effective properties of the FGM conical shell panels (the elastic modulus, Poisson's ratio, and thermal expansion coefficient a) can be written as follows [21]:…”

Section: Eccentrically Stiffened Fgm Conical Shell Panels On Elastic mentioning

confidence: 99%

Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment

Duc

Cong

Anh

et al. 2015

Composite Structures

Self Cite

View full text Add to dashboard Cite

“…Now to solve the equilibrium and compatibility equations, the initial imperfection through the plate should be known. Considering the simply supported boundary conditions, the following imperfection function is used in the present work [4,5,8,13] …”

Section: Solving Equationsmentioning

confidence: 99%

“…Here, μ indicates the magnitude of the imperfection and the number of half waves in x and y directions are denoted by m and n. Also, the post-buckled mode shape of the plate is assumed to obey the same form, which is chosen to satisfy the simply supported boundary conditions (17) on all four edges [8,13,17] w 0 = W sin mπ x a sin nπ y b…”

Section: Solving Equationsmentioning

confidence: 99%

“…Every involved parameter such as rotations, in-plane displacements and stress resultants are obtained in terms of these two functions. Tung and Duc [8] gave a simple accurate analytical solution to study the buckling and post-buckling response of thin FGM plates. By assuming the initial imperfection for an FGM plate, they found that imperfect plates do not follow bifurcation-type buckling and commence to deflect by initiation of compression.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

Kiani

Eslami

2011

Arch Appl Mech

View full text Add to dashboard Cite

Post-buckling behaviour of sandwich plates with functionally graded material (FGM) face sheets under uniform temperature rise loading is considered. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation, which acts in both compression and tension. The derivation of equations is based on the first-order shear deformation plate theory. Thermomechanical non-homogeneous properties of FGM layers vary smoothly by the distribution of power law across the thickness, and temperature dependency of material constituents is taken into account. Using the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect sandwich plates with FGM face sheets are derived. The boundary conditions for the plate are assumed to be simply supported in all edges. The governing equations are reduced to two coupled equation in terms of stress function and lateral deflection. Employing the single mode approach combined with Galerkin technique, an approximate closed-form solution is presented to calculate the critical buckling temperature and post-buckling equilibrium path of the plate. Presented numerical examples contain the influences of power law index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation coefficients.

show abstract

Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads

Cited by 86 publications

References 25 publications

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment

Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

Contact Info

Product

Resources

About