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 …

On improved crack tip plastic zone estimates based on T‐stress and on complete stress fields

RA Sousa, JTP Castro, AAO Lopes… - Fatigue & Fracture of …, 2013 - Wiley Online Library
Cracked ductile structures yield locally to form a plastic zone (pz) around their crack tips,
which size and shape controls their structural behaviour. Classical pz estimates are based …

Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity

NA Dumont - Archive of Applied Mechanics, 2024 - Springer
The collocation boundary element method, as developed and taught in the traditional books,
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …

Machine-precise evaluation of stress intensity factors with the consistent boundary element method

NA Dumont, OADA Neto - International Journal of Computational …, 2021 - witpress.com
As classically proposed in the technical literature, the boundary element modeling of cracks
is best carried out by resorting to a hypersingular fundamental solution–in the frame of the …

[PDF][PDF] Variationally-based hybrid boundary element methods

NA Dumont - Computer Assisted Mechanics and Engineering …, 2003 - academia.edu
The hybrid stress boundary element method (HSBEM) was introduced in 1987 on the basis
of the Hellinger-Reissner potential, as a generalization of Pian's hybrid finite element …

Determination of stress intensity factors of 2D fracture mechanics problems through a new semi‐analytical method

N Khaji, M Yazdani - … & Fracture of Engineering Materials & …, 2016 - Wiley Online Library
This study presents a novel development of a new semi‐analytical method with diagonal
coefficient matrices to model crack issues. Accurate stress intensity factors based on linear …

Numerical implementation of local effects due to two-dimensional discontinuous loads using special elements based on boundary integrals

H Wang, QH Qin - Engineering Analysis with Boundary Elements, 2012 - Elsevier
In this paper, special-purpose elements are developed for solving local effects caused by
discontinuous loads such as concentrated forces, line loads and patch loads applied in …

[PDF][PDF] General time-dependent analysis with the frequency-domain hybrid boundary element method

NA Dumont, RAP Chaves - Computer Assisted Mechanics and …, 2003 - academia.edu
The paper presents an attempt to consolidate a formulation for the general analysis of the
dynamic response of elastic systems. Based on the mode-superposition method, a set of …

[PDF][PDF] Generalized Westergaard stress functions as fundamental solutions

NA Dumont, EY Mamani - Computer Modeling in Engineering & …, 2011 - cdn.techscience.cn
A particular implementation of the hybrid boundary element method is presented for the two-
dimensional analysis of potential and elasticity problems, which, although general in …

Complex fourier‐based stress intensity factor analysis of plane elasticity using boundary element theories

A Aghamolaei, S Hamzehei‐Javaran… - … Journal for Numerical …, 2022 - Wiley Online Library
In this article, the boundary element method is implemented for solving linear elastic fracture
mechanics problems, using new complex Fourier shape functions which include constant …