Results 51 to 60 of about 349 (120)

Scaled Boundary Finite Element Method for Two-Dimensional Linear Multi-Field Media [PDF]

, 2017
This paper presents an efficient and accurate numerical technique, based on a scaled boundary finite element method (SBFEM), that is capable of solving two-dimensional, second-order, linear, multi-field boundary value problems.
Phoonsak Pheinsusom, Jaroon Rungamornrat, Chung Nguyen Van, Pheinsusom, Phoonsak, Rungamornrat, Jaroon, Van, Chung Nguyen   +5 more
core   +2 more sources

Towards the Efficient Simulation of Large‐Scale Soil‐Structure Interaction Problems Using the Scaled Boundary Finite Element Method

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Modeling wave propagation in soil using conventional finite element methods necessitates the simulation of extensive spatial domains to prevent reflections at artificial boundaries. Classical absorbing boundary conditions can be used to mitigate this problem, but must be placed at a considerable distance from the area of interest to ensure ...
Tobias Kuhn, Hauke Gravenkamp, Carolin Birk   +2 more
wiley   +1 more source

Element‐Based Internal Variable Formulations for Finite Element Discretizations in FFT‐Based Homogenization Methods

International Journal for Numerical Methods in Engineering, Volume 126, Issue 21, 15 November 2025.
ABSTRACT Although finite elements were made available for FFT‐based computational homogenization methods, they are seldomly used for inelastic computations because traditionally the constitutive law is evaluated at each quadrature point of the element, making the storage of that many internal variables necessary, as well.
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Adaptive modelling of dynamic brittle fracture - a combined phase field regularized cohesive zone model and scaled boundary finite element approach [PDF]

, 2022
Based on the error indicator computed from the scaled boundary equations, a quadtree based adaptive phase-field method is proposed for dynamic brittle fracture problems in isotropic material using the scaled boundary finite element method (SBFEM).
Birk, C, Song, C ; https://orcid.org/, Natarajan, S, Ooi, ET   +3 more
core   +2 more sources

A scaled boundary shell formulation in isogeometric analysis for static and dynamic analysis

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.
Abstract In modern applications of computer‐aided design (CAD) for the analysis of shell structures, isogeometric analysis is a powerful tool that integrates both design and analysis. An exact geometry description and a straightforward computation without loss of information are advantageous, especially for shell structures such as roofs, satellite ...
Mathias Reichle, Anna Hellers, Sven Klinkel   +2 more
wiley   +1 more source

Extension of the scaled boundary finite element method to treat implicitly defined interfaces without enrichment [PDF]

, 2020
In this paper, the scaled boundary finite element method (SBFEM) is extended to solve the second order elliptic equation with discontinuous coefficients and to treat weak discontinuities.
Natarajan, Sundararajan, Zhang, Junqi, Song, Chongmin, Dharmadhikari, Prasad, Ooi, Ean Tat, Annabattula, Ratna   +5 more
core   +4 more sources

Stabilization‐free virtual element method for 2D elastoplastic problems

International Journal for Numerical Methods in Engineering, Volume 125, Issue 15, 15 August 2024.
Abstract In this paper, a novel first‐ and second‐order stabilization‐free virtual element method is proposed for two‐dimensional elastoplastic problems. In contrast to traditional virtual element methods, the improved method does not require any stabilization, making the solution of nonlinear problems more reliable.
Bing‐Bing Xu, Yi‐Fan Wang, Peter Wriggers   +2 more
wiley   +1 more source

A time-domain approach for the simulation of three-dimensional seismic wave propagation using the scaled boundary finite element method [PDF]

, 2022
A direct time-domain approach to simulate seismic wave propagation in three-dimensional unbounded media is proposed based on the Scaled Boundary Finite Element Method (SBFEM). A domain of interest is commonly partitioned into a far field and a near field.
Eisentrager, Sascha ; https://orcid.org/, Song, C, Qu, Y, Zhang, J ; https://orcid.org/, Eisenträger, S   +4 more
core   +2 more sources

SBFEM with perturbation method for solving the Reynolds equation

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 2, August 2024.
Abstract Rotordynamic simulations with nonlinear hydrodynamic bearing forces require a solution of the Reynolds equation at every time step. As a computationally efficient alternative to the standard numerical methods, a semi‐analytical solution based on the scaled boundary finite element method (SBFEM) was developed recently.
Simon Pfeil, Chongmin Song, Elmar Woschke   +2 more
wiley   +1 more source

Large‐scale seismic soil–structure interaction analysis via efficient finite element modeling and multi‐GPU parallel explicit algorithm

Computer-Aided Civil and Infrastructure Engineering, Volume 39, Issue 12, Page 1886-1908, 15 June 2024.
Abstract As urban population increases, integrated underground–aboveground complexes are being constructed at growing paces in major cities. The seismic analysis of such complexes is crucial for the safety and functionality in the threat of potential earthquake disasters.
Mi Zhao, Qingpeng Ding, Shengtao Cao, Zhishan Li, Xiuli Du   +4 more
wiley   +1 more source