Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates

Tran, Loc V.; Phung‐Van, P.; Lee, Jae Hong; Wahab, Magd Abdel; Nguyen‐Xuan, H.

doi:10.1016/j.compstruct.2016.01.001

Cited by 94 publications

(17 citation statements)

References 55 publications

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“…This is due to the fact that this type of boundary condition is capable of preventing the plates from deforming suddenly under the effects of coupling or thermal moments. The general procedure of nonlinear eigenvalue analysis was presented in the papers of Liew et al [71] and Tran et al [16]. When the conditions for bifurcation buckling to occur are not satisfied (e.g.…”

Section: Solution Proceduresmentioning

confidence: 99%

“…The ceramic constituent is considered as a high temperature barrier, thanks to its low thermal conductivity, whereas the metal counterpart is more ductile to prevent fracture due to thermal stresses. In addition to the linear analysis of FG plates [2], a large number of studies have been devoted to investigate their post-buckling responses [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. A comprehensive review of plate theories and techniques used to analyse FG plates subjected to mechanical and thermal loads can be found in [2,19,20].…”

Section: Introductionmentioning

confidence: 99%

“…InFig. 3, the thermal post-buckling paths of a square SSSS2 t Al2O3/Al plate under nonlinear temperature rise are compared with those given by Tran et al[16]. The material properties used in this example are assumed to be temperature-independent.…”

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confidence: 99%

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Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C 2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton's iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

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Section: Solution Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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“…FEA has been widely used in the literature for many engineering applications that have been recently published [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The commercial FE code ABAQUS is used to conduct the coupled thermo-metallomechanical analysis.…”

Section: Finite Element Analysismentioning

confidence: 99%

The prediction of residual stress and its influence on the mechanical properties of weld joint

Wahab

2017

J. Phys.: Conf. Ser.

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Abstract.A three-dimensional metallo-thermo-mechanical analysis of bead on plate welding is performed in this work. This coupled model enables to capture the microstructural development and temperature history at local region. As a result, the residual stress is evaluated based on the temperature-dependent mechanical properties computed by the mixture of individual phase. Isotropic hardening is assumed in the finite element (FE) analysis. At the same time, the distribution of residual stress is also predicted by treating the mechanical properties as integral values of sheet metal. The two simulated fields of stress and strain after welding are analysed and compared. Moreover, as it is known that welding changes the mechanical properties of the original material, especially in fusion zone (FZ) and heat affected zone (HAZ), the stress and strain data at interested areas (HAZ and FZ) are subtracted for comparison. The predicted stress and strain fields are imported to subsequent simulation of standard tensile test. The stress-strain curves are compared with the one of base material. It is found that residual stress has significant influence on the structural performance of weld joints.

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“…Furthermore, mechanical behaviours of FGM composite plates based on the local continuum theory have recently been published in Refs. [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. As one may note, almost cited references deal with the modelling of micro/nano-beams.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of nanoplates using IGA

Phung‐Van

Wahab

Nguyen‐Xuan³

2017

J. Phys.: Conf. Ser.

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Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates

Cited by 94 publications

References 55 publications

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

The prediction of residual stress and its influence on the mechanical properties of weld joint

Buckling analysis of nanoplates using IGA

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