Isogeometric dual reciprocity BEM for solving non-Fourier transient heat transfer problems in FGMs with uncertainty analysis

Cao, Geyong; Yu, Bo; Chen, Leilei; Yao, Weian

doi:10.1016/j.ijheatmasstransfer.2022.123783

Cited by 28 publications

(4 citation statements)

References 66 publications

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“…Ding et al [24] studied the nth-order perturbation method based on IGA to simulate the geometric uncertainty of shell structure. Cao et al [44] used uncertainty analysis to solve the equi-geometric bi-reciprocal finite element for non-Fourier transient heat transfer problems. Chen et al [45,46] proposed an effective deep learning method based on IGA samples for the quantification of multivariable uncertainty issues with the interplay of vibration and sound.…”

Section: Wave Numbermentioning

confidence: 99%

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

Yang,

Huo,

Yuan

et al. 2023

Front. Phys.

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The key aim of this paper is to provide a new nth generalized order perturbed isogeometric fast multistage technique of boundary elements to compute the propagation of time harmonics in an infinite region. Structural geometry and boundary integral equations are constructed by using non-uniform rational B-splines. The source of system uncertainty is believed to be the incident plane wave number’s unpredictability. The actual field, depending on the input random variables, is simulated using the extended nth-order perturbation method. The field and kernel values for boundary integral formulas are generated via the nth-order generalized series of Taylor expansions using perturbation parameters. The fast multipole method (FMM) is utilized to speed up the process. The effectiveness and correctness of the proposed algorithm are verified by Monte Carlo simulations (MCs) with numerical examples.

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Section: Wave Numbermentioning

confidence: 99%

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

Yang,

Huo,

Yuan

et al. 2023

Front. Phys.

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“…Lastly, Bao et al [15] analyzed the large deformation mechanism in deep brittle rock tunnels based on the evolution of microcracks. The geometric finite element simulation of crack propagation under pressure by Chen Leilei et al provided some inspiration for the modeling and simulation of large deformation in this paper [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Mainly focused on the changes in the mechanical properties and mineral composition of rocks after water exposure, current researches rarely devote themselves to the relationship between soft rock deformation and the surrounding environment to establish models and field experiments for comparison and analysis, and study in a multidimensional way to develop a systematic and in-depth research on the relationship between the large deformation mechanism of mudstone and the macroscopic deformation behavior of seepage tunnels.…”

Section: Introductionmentioning

confidence: 99%

Research on intrusion and large arch bulge in lining structure for highway’s mudstone tunnel

Li,

Fu,

Liu

et al. 2024

Front. Phys.

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During the construction of a highway in northwest China, large deformation of mudstone caused severe deformation of and damage to side walls, initial support, and secondary lining to various extents. To reveal the causes of mudstone’s large deformation in the tunnels of this highway, a comprehensive study was conducted by using engineering geological survey, on-site monitoring and measurement, indoor rock mechanics test, numerical simulation, and macroscopic analysis. For the problem of large deformation of this highway’s tunnel section from YK209 + 500 m to YK210 + 030 m, the 3D finite difference method FLAC3D was used to simulate the large deformation of the wall rock and compare the deformation of the tunnel and the mechanical characteristics of the lining structure under different conditions by means of inverse analysis of the rheological characteristics of the mudstone and simulation of the softening of the mudstone in water. The research results provide a reference and basis for the construction design of similar mudstone tunnel projects. For the management of tunnel deformation, it is recommended to enhance the tunnel’s drainage measures, thereby mitigating the intensification of mudstone softening when exposed to water.

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“…Te fnite element method (FEM) is a powerful method in vibration analysis. However, the boundary element method (BEM) is superior to FEM in calculating sound waves in exterior domains [44][45][46][47][48][49], as it discretizes only the structural surfaces without truncating the unbounded domain. Terefore, combining these two methods can signifcantly enhance calculation efciency and accuracy [50].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Quantification of Vibroacoustics with Deep Neural Networks and Catmull–Clark Subdivision Surfaces

Zhou,

Gao,

Cheng

et al. 2024

Shock and Vibration

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This study proposes an uncertainty quantification method based on deep neural networks and Catmull–Clark subdivision surfaces for vibroacoustic problems. The deep neural networks are utilized as a surrogate model to efficiently generate samples for stochastic analysis. The training data are obtained from numerical simulation by coupling the isogeometric finite element method and the isogeometric boundary element method. In the simulation, the geometric models are constructed with Catmull–Clark subdivision surfaces, and meantime, the physical fields are discretized with the same spline functions as used in geometric modelling. Multiple deep neural networks are trained to predict the sound pressure response for various parameters with different numbers and dimensions in vibroacoustic problems. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

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Isogeometric dual reciprocity BEM for solving non-Fourier transient heat transfer problems in FGMs with uncertainty analysis

Cited by 28 publications

References 66 publications

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

Research on intrusion and large arch bulge in lining structure for highway’s mudstone tunnel

Uncertainty Quantification of Vibroacoustics with Deep Neural Networks and Catmull–Clark Subdivision Surfaces

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