On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis

Yu, Tiantang; Bui, Tinh Quoc; Yin, Shuohui; Doan, Duc Hong; Wu, C.T.; Thom, Do Van; Tanaka, Satoyuki

doi:10.1016/j.compstruct.2015.11.002

Cited by 153 publications

(27 citation statements)

References 34 publications

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“…Isogeometric analysis (IGA) (Hughes et al 2005) takes CAD spline functions (e.g., NURBS) as the shape functions of finite element analysis; it thus shows many good properties such as the exact computational geometry, simple mesh refinement, higher-order continuity, and without the aid of conventional mesh generators. The IGA has been used to solve a large number of engineering problems (see, e.g., (Fantuzzi and Tornabene 2016;L e z g y -N a z a r g a he ta l .2015; Klinkel et al 2015;Farzam-Radetal.2017;Y uetal.2015, 2016a, b, 2017Liu et al 2017a, b;Lai et al 2017;Sun et al 2018)a n d references therein). Recently, several researchers studied the volume fraction distribution of FG structures using IGA.…”

Section: A C C E P T E D V E R S I O Nmentioning

confidence: 99%

Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates

Wang

Curiel-Sosa

et al. 2019

Struct Multidisc Optim

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Section: A C C E P T E D V E R S I O Nmentioning

confidence: 99%

Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates

Wang

Curiel-Sosa

et al. 2019

Struct Multidisc Optim

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“…By using the exact three-dimensional theory of elasticity, instead of the approximate plate theories, Asemi and Shariyat [32] presented the effects of heterogeneous auxetic of the materials in uniaxial and biaxial post-buckling behaviors of the FGM plates. Yu et al [33] investigated the numerical results of thermal buckling of functionally graded plates (FGPs) with internal defects (e.g., crack or cutout) using the extended isogeometric analysis (XIGA).…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for thermal buckling analysis of rectangular plates with functionally graded coatings

Thang

2016

Aerospace Science and Technology

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“…A large number of numerical methods have been developed to solve the problem of heat diffusion in graded media: the boundary element method [20], meshfree methods like the method of fundamental solutions [21]- [23], the finite element method and its non-remeshing version, e.g. the extended finite element method [24] and the version based on extended isogeometric analysis [25]. Nevertheless, although numerical methods are capable of solving complex problems, the obtained solutions correspond to one specific case and generalization is not easy.…”

Section: Introductionmentioning

confidence: 99%

Linear, trigonometric and hyperbolic profiles of thermal effusivity in the Liouville space and related quadrupoles: Simple analytical tools for modeling graded layers and multilayers

Krapez

2019

International Journal of Thermal Sciences

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This paper presents a series of new high-level analytical tools for the modeling of one-dimensional, transient or periodic, heat transfer in media presenting graded thermal properties (conductivity and/or specific heat), possibly in a layered configuration. They capitalize on a recent work on sequences of analytically solvable profiles and the related exact temperature solutions. These profiles describe the square root of thermal effusivity or its inverse; the independent variable is the square root of the integrated diffusion time along the considered path, as obtained after a Liouville transformation. The profiles addressed here are linear, hyperbolic or trigonometric functions of this variable. A systematic presentation is given on how to build these profiles in both partner forms, on the so-called Liouville inverse transformation to step back into the physical-depth space, and on the three quadrupole formulations. As compared to other graded profiles from the literature, the three transfer matrices are very easy to compute (only elementary functions are involved). The quadrupole approach is particularly suitable for modeling multilayers. We apply it to calculate the thermal response of a two-layer system with a graded coating of one or other of the three classes. The modulated and the transient regime have been considered. The ease of obtaining these results indicates that, upon proper arrangement, these three classes of solvable profiles may be used to compute the thermal response of continuously (or piece-wise continuously) heterogeneous media of arbitrary complexity (e.g., functionally graded materials). This also paves the way to new methods for photothermal inversion. Other research fields could benefit from these tools insofar as the evolution equation governing the observed phenomena involves variable coefficients (e.g., advection-diffusion equation, wave equation, etc.).

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On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis

Cited by 153 publications

References 34 publications

Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates

Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates

Analytical solution for thermal buckling analysis of rectangular plates with functionally graded coatings

Linear, trigonometric and hyperbolic profiles of thermal effusivity in the Liouville space and related quadrupoles: Simple analytical tools for modeling graded layers and multilayers

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