Results 21 to 30 of about 209 (201)

Convergence analysis of the scaled boundary finite element method for the Laplace equation [PDF]

Advances in Computational Mathematics, 2021
AbstractThe scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to partial differential equations (PDEs) without the need of a fundamental solution. A theoretical framework for the convergence analysis of SBFEM is proposed here.
Fleurianne Bertrand, Daniele Boffi, Gonzalo Gonzalez de Diego   +2 more
openaire   +3 more sources

A high performance scaled boundary finite element method [PDF]

IOP Conference Series: Materials Science and Engineering, 2010
Dynamic soil-structure interaction in the time domain may be described by the scaled boundary finite element method (SBFEM). Unfortunately the non locality in time and space implies significant numerical effort. Two essential improvements are demonstrated, boosting the performance of this method.
B Radmanović, C Katz
openaire   +1 more source

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

Applied Sciences, 2019
Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics ...
Adrian Egger, Udit Pillai, Konstantinos Agathos, Emmanouil Kakouris, Eleni Chatzi, Ian A. Aschroft, Savvas P. Triantafyllou   +6 more
doaj   +1 more source

Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions

Geofluids, 2021
This paper presents a stochastic analysis method for linear elastic fracture mechanics using the Monte Carlo simulations (MCs) and the scaled boundary finite element method (SBFEM) based on proper orthogonal decomposition (POD) and radial basis functions
Xiaowei Shen, Haowen Hu, Zhongwang Wang, Xiuyun Chen, Chengbin Du   +4 more
doaj   +1 more source

MODELLING OF SOIL BEHAVIOR IN DYNAMIC LOAD

International Journal for Computational Civil and Structural Engineering, 2017
The paper focuses on simulation of dynamic “structure – soil” interaction and unbounded soil halfspace. Principles for new finite elements developed in LIRA-SAPR software are described.
Alexander S. Gorodetsky, Anatol V. Pikul, Bogdan Y. Pysarevskiy   +2 more
doaj   +1 more source

Flexural wave band gaps of steel bridge decks periodically stiffened with U-ribs: Mechanism and influencing factors

Journal of Low Frequency Noise, Vibration and Active Control, 2022
To effectively and efficiently control vibrations in steel bridge decks, the flexural wave band gap and vibration attenuation mechanism are studied. The band structures and displacement fields of the eigenmodes at the band gap edges of infinite periodic ...
Xun Zhang, Chenxi Hao, Hao Luo, Derui Kong, Cong Li   +4 more
doaj   +1 more source

Comparative Study of Dispersion Curves for LAMB Waves Using Analytical Solutions and Semi-Analytical Methods

Applied Sciences, 2023
Lamb wave dispersion curves are useful for optimizing the inspection scanning distance that can be covered with good sensitivity in many current applications.
Carlos A. Galán-Pinilla, Jabid E-Quiroga, Dario Y. Peña-Ballesteros, César A. Acosta-Minoli, Octavio Andrés González-Estrada   +4 more
doaj   +1 more source

A Nonlinear Crack Model for Concrete Structure Based on an Extended Scaled Boundary Finite Element Method

Applied Sciences, 2018
Fracture mechanics is one of the most important approaches to structural safety analysis. Modeling the fracture process zone (FPZ) is critical to understand the nonlinear cracking behavior of heterogeneous quasi-brittle materials such as concrete.
Jian-bo Li, Xin Gao, Xing-an Fu, Chenglin Wu, Gao Lin   +4 more
doaj   +1 more source

Implementation of arbitrary polyhedral elements for automatic dynamic analyses of three-dimensional structures

Scientific Reports, 2022
The transition from the geometry to the mesh can be rather difficult, manual and time-consuming, especially for the large scale complex structures.
Lei Zhou, Jianbo Li, Gao Lin
doaj   +1 more source

On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain

Journal of Mathematical Sciences and Modelling, 2018
To analyse soil-structure-interaction problems, often unbounded domain has to be taken into account. Since the finite element method (FEM) does not provide open boundary itself the scaled boundary finite element method (SBFEM) which fulfils the radiation
Marco Schauer
doaj   +1 more source