Boundary element alternating method applied to analyze the stress concentration problems of multiple elliptical holes in an infinite domain

1999 ◽  
Vol 187 (3) ◽  
pp. 303-313 ◽  
Author(s):  
K Ting ◽  
K.T Chen ◽  
W.S Yang
Keyword(s):  
Stress Concentration ◽  
Boundary Element ◽  
Infinite Domain ◽  
Alternating Method ◽  
Elliptical Holes

Adaptivity and Three Dimensional Hierarchical Boundary Elements for Rigid Acoustic Scattering Problems

1995 ◽  
Author(s):  
Steven J. Newhouse ◽  
Ian C. Mathews
Keyword(s):  
Boundary Element ◽  
Acoustic Analysis ◽  
Three Dimensional ◽  
Acoustic Scattering ◽  
Error Estimator ◽  
Infinite Domain ◽  
Scattering Problems ◽  
Effective Form ◽  
Mesh Density ◽  
Acoustic Scattering Problems

Abstract The boundary element method is an established numerical tool for the analysis of acoustic pressure fields in an infinite domain. There is currently no well established method of estimating the surface pressure error distribution for an arbitrary three dimensional body. Hierarchical shape functions have been used as a highly effective form of p refinement in many finite and boundary element applications. Their ability to be used as an error estimator in acoustic analysis has never been fully exploited. This paper studies the influence of mesh density and interpolation order on several acoustic scattering problems. A hierarchical error estimator is implemented and its effectiveness verified against the spherical problem. A coarse cylindrical mesh is then refined using the new error estimator until the solution has converged. The effectiveness of this analysis is shown by comparing the error indicators derived during the analysis to the solution generated from a very fine cylindrical mesh.

Infinite Boundary Element Formulation for the Analysis of CP System for Submersible Pump

2013 ◽  
Vol 471 ◽  
pp. 313-318 ◽  
Author(s):  
M. Safuadi ◽  
S. Fonna ◽  
M. Ridha ◽  
Zebua ◽  
Ahmad K. Ariffin ◽  
...  
Keyword(s):  
Boundary Element ◽  
Cathodic Protection ◽  
Domain Boundary ◽  
Protection System ◽  
Finite Domain ◽  
Element Formulation ◽  
Submersible Pump ◽  
Infinite Domain ◽  
Cathodic Protection System ◽  
Early Damage

The effectiveness of the cathodic protection system is very important to be maintained for the submersible pump structure. Early damage of the infrastructure can be caused by improper design of the protection system. However, nowadays the effectiveness of the cathodic protection system could not be evaluated before the system applied in the field. This study is conducted on development of 3D infinite domain boundary element method (BEM) to evaluate the cathodic protection system for submersible pump structure using aluminum sacrificial anode. In this study, the potential in the domain was modeled using Laplace equation. The equation was solved by applying BEM, hence the potential distribution and current density on the metal surface and at any location in the domain can be obtained. The numerical analysis result shows that the 3D infinite domain BEM can be used to simulate the cathodic protection system. Moreover, the execution time for infinite domain BEM is less than the finite domain for the evaluated case.

Isogeometric Boundary Element Method for the Simulation in Tunneling

2014 ◽  
Vol 553 ◽  
pp. 495-500 ◽  
Author(s):  
Benjamin Marussig ◽  
Gernot Beer ◽  
Christian Duenser
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Mechanical Engineering ◽  
Boundary Element Methods ◽  
Infinite Domain ◽  
Research Software ◽  
Element Method

Isogeometric finite element methods and more recently boundary element methods have been successfully applied to problems in mechanical engineering and have led to an increased accuracy and a reduction in simulation effort. Isogeometric boundary element methods have great potential for the simulation of problems in geomechanics, especially tunneling because an infinite domain can be considered without truncation. In this paper we discuss the implementation of the method in the research software BEFE++. Based on an example of a spherical excavation we show that a significant reduction in the number of parameters for describing the excavation boundary as well as an improved quality of the results can be obtained.

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