Modeling pressurized fracture propagation with the isogeometric BEM

Chen, Leilei; Wang, Zhongwang; Peng, Xuan; Yang, Jianfeng; Wu, Pengfei; Lian, Haojie

doi:10.1007/s40948-021-00248-3

Cited by 26 publications

(11 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, it is a typical semi-infinite domain external sound field problem, and it is difficult to numerically simulate the performance of the noise barrier by the FEM. As we all know, the boundary element method (BEM) is superior to the FEM when solving sound field problems in infinite/semi-infinite domains because of its advantages such as high accuracy and automatic mesh generation [25][26][27][28]. However, as the amount of computation increases, the process of meshing will consume a lot of costs, which makes the transition process from CAD to CAE very cumbersome.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method

Liu¹,

Zhao²,

Shen³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

In this work, an acoustic topology optimization method for structural surface design covered by porous materials is proposed. The analysis of acoustic problems is performed using the isogeometric boundary element method. Taking the element density of porous materials as the design variable, the volume of porous materials as the constraint, and the minimum sound pressure or maximum scattered sound power as the design goal, the topology optimization is carried out by solid isotropic material with penalization (SIMP) method. To get a limpid 0-1 distribution, a smoothing Heaviside-like function is proposed. To obtain the gradient value of the objective function, a sensitivity analysis method based on the adjoint variable method (AVM) is proposed. To find the optimal solution, the optimization problems are solved by the method of moving asymptotes (MMA) based on gradient information. Numerical examples verify the effectiveness of the proposed topology optimization method in the optimization process of two-dimensional acoustic problems. Furthermore, the optimal distribution of sound-absorbing materials is highly frequency-dependent and usually needs to be performed within a frequency band.

show abstract

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method

Liu¹,

Zhao²,

Shen³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…Because both the BEM and CAD are based on boundary representation [5][6][7], they are naturally compatible with each other. IGA in the context of the boundary element method (IGABEM) has been successfully applied to a wide range of areas, including potential problems [8], linear elasticity [9,10], fracture mechanics [11][12][13][14], structural optimization [15][16][17][18], acoustics [19][20][21][22][23][24][25], and heat conduction [26,27], etc.…”

Section: Introductionmentioning

confidence: 99%

Machine Learning Enhanced Boundary Element Method: Prediction of Gaussian Quadrature Points

Cheng¹,

Yin²,

Chen³

2022

Computer Modeling in Engineering &Amp; Sciences

Self Cite

View full text Add to dashboard Cite

This paper applies a machine learning technique to find a general and efficient numerical integration scheme for boundary element methods. A model based on the neural network multi-classification algorithm is constructed to find the minimum number of Gaussian quadrature points satisfying the given accuracy. The constructed model is trained by using a large amount of data calculated in the traditional boundary element method and the optimal network architecture is selected. The two-dimensional potential problem of a circular structure is tested and analyzed based on the determined model, and the accuracy of the model is about 90%. Finally, by incorporating the predicted Gaussian quadrature points into the boundary element analysis, we find that the numerical solution and the analytical solution are in good agreement, which verifies the robustness of the proposed method.

show abstract

“…Nie et al [34][35][36][37][38] studied the noniterative inversion of heat flow boundary conditions and thermal stress estimation of gradient materials based on the refined integration finite element method. Chen et al [39][40][41][42][43] studied the heat conduction analysis of two-dimensional and threedimensional geometric boundary element methods.…”

Section: Introductionmentioning

confidence: 99%

Coupling Heat Conduction and Radiation by an Isogeometric Boundary Element Method in 2-D Structures

Jiang

Jia-dong

Kunpeng

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

We propose an efficient isogeometric boundary element method to address the coupling of heat conduction and radiation in homogeneous or inhomogeneous materials. The isogeometric boundary element method is used to construct irregular 2D models, which eliminate errors in model construction. The physical unknowns in the governing equations for heat conduction and radiation are discretized using an interpolation approximation, and the integral equations are finally solved by Newton–Raphson iteration; it is noteworthy that we use the radial integration method to convert the domain integrals to boundary integrals, and we combine the numerical schemes for heat conduction and radiation. The results of the three numerical cases show that the adopted algorithm can improve the computational accuracy and efficiency.

show abstract

Modeling pressurized fracture propagation with the isogeometric BEM

Cited by 26 publications

References 52 publications

Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method

Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method

Machine Learning Enhanced Boundary Element Method: Prediction of Gaussian Quadrature Points

Coupling Heat Conduction and Radiation by an Isogeometric Boundary Element Method in 2-D Structures

Contact Info

Product

Resources

About