Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

The magnetic polarization tensor has a promising capability of determining the geometry and material properties of metallic samples. In this paper, a novel computation method is proposed to estimate the magnetic polarization tensors for the metallic samples using the boundary element method. In this method, the metallic sample is placed in a uniformly distributed magnetic field. Based on assumptions that the excitation frequency and/or the conductivity of the sample is very high, the metallic sample is regarded as a perfect electrical conductor (PEC). Therefore, the scattered field at a certain distance can be simulated. By utilising the boundary element method, the magnetic polarization tensor can be derived from the simulated scattered field. The theoretical calculation is presented and simulations and experiments have been carried out to validate the proposed method. The results from the simulation are matched with the analytical solution for the case of sphere samples. Moreover, there is a good agreement between the simulation results and the experimental results for the copper cylindrical samples.

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Prediction of the asymptotical magnetic polarization tensors for cylindrical samples using the boundary element method

2015 IEEE Sensors Applications Symposium (SAS) ◽

10.1109/sas.2015.7133631 ◽

2015 ◽

Cited By ~ 2

Author(s):

Mingyang Lu ◽

Qian Zhao ◽

Peipei Hu ◽

Wuliang Yin ◽

Anthony J. Peyton

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Magnetic Polarization ◽

Cylindrical Samples ◽

Element Method

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Boundary Element Parallel Computation for 3D Elastostatics Using CUDA

Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B ◽

10.1115/detc2011-47981 ◽

2011 ◽

Cited By ~ 4

Author(s):

Yingjun Wang ◽

Qifu Wang ◽

Gang Wang ◽

Yunbao Huang ◽

Yixiong Wei

Keyword(s):

Boundary Element ◽

Parallel Computation ◽

Computer Aided Design ◽

Graphics Processing Unit ◽

Computation Method ◽

Processing Unit ◽

Element Analysis ◽

Integral Methods ◽

Cad Models ◽

Element Method

Finite Element Method (FEM) is pervasively used in most of 3D elastostatic numerical simulations, in which Computer Aided Design (CAD) models need to be converted into mesh models first and then enriched with semantic data (e.g. material parameters, boundary conditions). The interaction between CAD models and FEM models stated above is very intensive. Boundary Element Method (BEM) has been used gradually instead of FEM in recent years because of its advantage in meshing. BEM can reduce the dimensionality of the problem by one so that the complexity in mesh generation can be decreased greatly. In this paper, we present a Boundary Element parallel computation method for 3D elastostatics. The parallel computation runs on Graphics Processing Unit (GPU) using Computing Unified Device Architecture (CUDA). Three major components are included in such method: (1) BEM theory in 3D elastostatics and the boundary element coefficient integral methods, (2) the parallel BEM algorithm using CUDA, and (3) comparison the parallel BEM using CUDA with conventional BEM and FEM respectively by examples. The dimension reduction characteristics of BEM can dispose the 3D elastostatic problem by 2D meshes, therefore we develop a new faceting function to make the ACIS facet meshes suitable for Boundary Element Analysis (BEA). The examples show that the GPU parallel algorithm in this paper can accelerate BEM computation about 40 times.

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Investigation of submerged structures’ flexibility on sloshing frequency using a boundary element method and finite element analysis

Engineering Applications of Computational Fluid Mechanics ◽

10.1080/19942060.2019.1619197 ◽

2019 ◽

Vol 13 (1) ◽

pp. 519-528 ◽

Cited By ~ 27

Author(s):

Mohammad Ghalandari ◽

Saeed Bornassi ◽

Shahabbodin Shamshirband ◽

Amir Mosavi ◽

Kwok Wing Chau

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Boundary Element Method ◽

Boundary Element ◽

Element Analysis ◽

Sloshing Frequency ◽

Element Method

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Reconstruction of surface velocity field using wavelet transformation and boundary-element method

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/0954406jmes319 ◽

2007 ◽

Vol 221 (2) ◽

pp. 167-175

Author(s):

B Ko

Keyword(s):

Boundary Element Method ◽

Velocity Field ◽

Boundary Element ◽

Measurement Errors ◽

Wavelet Transformation ◽

Surface Velocity ◽

Discrete Wavelet ◽

Element Analysis ◽

Reconstruction Process ◽

Element Method

This paper shows the application of discrete wavelet transformation (DWT) to inverse acoustics for reconstructing the surface velocity of a noise source. This approach uses the boundary-element analysis based on the measured sound pressure at a set of field points, the Helmholtz integral equations, and wavelet transformation to reconstruct the normal surface velocity field. The reconstructed velocity field can be diverged due to the small measurement errors in the case of nearfield acoustic holography using an inverse boundary-element method. In order to bypass the instability in the inverse problem, the reconstruction process should include some form of regularization for enhancing the resolution of source images. The usual method of regularization has been the truncation of wave vectors associated with small singular values, although the order of an optimal truncation is difficult to determine. In this paper, a DWT is applied to reduce the computation time for inverse acoustics and to enhance the reconstructed surface velocity field. The computational speed-up is achieved, with solution time being reduced to 14.3 per cent.

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ANALYSIS OF CRACK INITIATION AND PROPAGATION IN PIEZOELECTRIC CERAMIC BY USING BOUNDARY ELEMENT METHOD

Acta Metallurgica Slovaca ◽

10.12776/ams.v23i4.1013 ◽

2017 ◽

Vol 23 (4) ◽

pp. 330

Author(s):

Feliks Stachowicz ◽

Mojtaba Biglar ◽

Magdalena Gromada ◽

Tomasz Trzepiecinski

Keyword(s):

Boundary Element Method ◽

Barium Titanate ◽

Crack Initiation ◽

Boundary Element ◽

Programming Algorithm ◽

Crack Initiation And Propagation ◽

Element Analysis ◽

Barium Titanate Ceramic ◽

Initiation And Propagation ◽

Element Method

Abstract The subject of this paper is the analysis of crack initiation and propagation in barium titanate ceramic using boundary element method. In micro-mechanical analyses, it is very important to have knowledge about the real microstructure of material. The barium titanate pellet was prepared using a solid-state technique. The boundary element method is used in order to be combined with three different grain boundary formulations for the investigation of micro-mechanics as well as crack initiation and propagation in piezoelectric actuator. In order to develop a numerical programming algorithm, suitable models of polycrystalline aggregate and representative volume elements have been prepared for boundary element analysis.

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Investigation of Rayleigh wave interaction with surface defects

Journal of Science and Technology in Civil Engineering (STCE) - NUCE ◽

10.31814/stce.nuce2019-13(3)-09 ◽

2019 ◽

Vol 13 (3) ◽

pp. 95-103

Author(s):

Phan Hai Dang ◽

Le Duc Tho ◽

Le Quang Hung ◽

Dao Duy Kien

Keyword(s):

Boundary Element Method ◽

Rayleigh Wave ◽

Boundary Element ◽

Half Space ◽

Scattered Field ◽

Surface Defects ◽

Reciprocity Theorem ◽

Approximate Theory ◽

Linear Superposition ◽

Element Method

The current article is concerned with the interaction of Rayleigh waves with surface defects of arbitrary shape in a homogeneous, isotropic, linearly elastic half-space. Using a linear superposition principle, the interaction generates a scattered field which is equivalent to the field radiated from a distribution of horizontal and vertical tractions on the surface of the defect. These tractions are equal in magnitude but opposite in sign to the corresponding tractions obtained from the incident wave. The scattered field is then computed as the superposition of the displacements radiated from the tractions at every point of the defect surface using the reciprocity theorem approach. The far-field vertical displacements are compared with calculations obtained by the boundary element method (BEM) for circular, rectangular, triangular and arbitrary-shaped defects. Comparisons between the theoretical and BEM results, which are graphically displayed, are in excellent agreement. It is also discussed the limitations of the proposed approximate theory. Keywords: half-space; Rayleigh wave; surface defect; reciprocity theorem; boundary element method (BEM).

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A Boundary-Element Method for Slamming Analysis

Journal of Ship Research ◽

10.5957/jsr.1982.26.2.117 ◽

1982 ◽

Vol 26 (02) ◽

pp. 117-124

Author(s):

Thomas L. Geers

Keyword(s):

Experimental Data ◽

Finite Element Analysis ◽

Finite Element ◽

Boundary Element Method ◽

Boundary Element ◽

Element Analysis ◽

Structure Interaction ◽

The Finite Element Analysis ◽

Computational Resources ◽

Element Method

A boundary-element method for treatment of the fluid-structure interaction in slamming analysis is described. The method emphasizes simplicity and efficiency, so that the analyst may devote most of his computational resources to the analysis of the structure. Numerical results for a number of rigid-impactor problems are compared with analytical solutions and experimental data, and procedures for the finite-element analysis of flexible impactors are discussed.

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