Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

X Peng, E Atroshchenko, P Kerfriden… - Computer Methods in …, 2017 - Elsevier
We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

An FEM/VOF hybrid formulation for fracture grouting modelling

T Chen, L Zhang, D Zhang - Computers and Geotechnics, 2014 - Elsevier
A numerical model using a hybrid formulation of a finite element method (FEM) coupled with
the volume of fluid (VOF) technique to simulate the fracture grouting processes in soils is …

High-resolution brittle fracture simulation with boundary elements

D Hahn, C Wojtan - ACM Transactions on Graphics (TOG), 2015 - dl.acm.org
We present a method for simulating brittle fracture under the assumptions of quasi-static
linear elastic fracture mechanics (LEFM). Using the boundary element method (BEM) and …

Fast approximations for boundary element based brittle fracture simulation

D Hahn, C Wojtan - ACM Transactions on Graphics (TOG), 2016 - dl.acm.org
We present a boundary element based method for fast simulation of brittle fracture. By
introducing simplifying assumptions that allow us to quickly estimate stress intensities and …

[PDF][PDF] SGBEM (for cracked local subdomain)-FEM (for uncracked global structure) alternating method for analyzing 3D surface cracks and their fatigue-growth

ZD Han, SN Atluri - CMES- Computer Modeling in Engineering and …, 2002 - Citeseer
As shown in an earlier work, the FEM-BEM alternating method is an efficient and accurate
method for fracture analysis. In the present paper, a further improvement is formulated and …

A weakly-singular SGBEM for analysis of cracks in 3D anisotropic media

J Rungamornrat, ME Mear - Computer Methods in Applied Mechanics and …, 2008 - Elsevier
A weakly-singular, symmetric Galerkin boundary element method (SGBEM) is developed for
analysis of fractures in three-dimensional, anisotropic linearly elastic media. The method …

[PDF][PDF] SGBEM(Using Non-hyper-singular Traction BIE), and Super Elements, for Non-Collinear Fatigue-growth Analyses of Cracks in Stiffened Panels with Composite …

L Dong, SN Atluri - … Modeling in Engineering & Sciences(CMES), 2012 - cdn.techscience.cn
Two-dimensional weakly-singular Symmetric Galerkin Boundary Elements (SGBEMs) are
developed, following the work of [Han and Atluri (2003)], using non-hypersingular integral …

Development and implementation of some BEM variants—A critical review

KH Yu, AH Kadarman, H Djojodihardjo - Engineering Analysis with …, 2010 - Elsevier
Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …