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 …

The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

JT Katsikadelis - Theoretical and Applied Mechanics, 2002 - doiserbia.nb.rs
In this paper the Analog Equation Method (AEM) a boundary-only method is presented for
solving nonlinear static and dynamic problems in continuum mechanics. General bodies are …

Large deflection analysis of elastic space membranes

GC Tsiatas, JT Katsikadelis - International journal for numerical …, 2006 - Wiley Online Library
In this paper a solution to the problem of elastic space (initially non‐flat) membranes is
presented. A new formulation of the governing differential equations is presented in terms of …

A BEM-based meshless solution to buckling and vibration problems of orthotropicplates

GC Tsiatas, AJ Yiotis - Engineering Analysis with Boundary Elements, 2013 - Elsevier
In this paper a BEM-based meshless solution is presented to buckling and vibration
problems of Kirchhoff orthotropic plates with arbitrary shape. The plate is subjected to …

Dependence of membrane deflection on the position and intensity of point loads

V Milosevic - Structural Engineering International, 2015 - Taylor & Francis
Point loading has so far received insufficient attention with regard to its influence on
deflections of the membrane structures, although it occurs relatively frequently. It can appear …

Comparison of point and snow load deflections in design and analysis of tensile membrane structures

VS Milošević, BL Marković - Advances in Civil Engineering, 2020 - Wiley Online Library
Tensile membrane structures are often used as protective structures in order to provide
cover from snow, rain, and direct sunlight. They are widely popular because of their …

The analog boundary integral equation method for nonlinear static and dynamic problems in continuum mechanics

JT Katsikadelis - Journal of Theoretical and Applied Mechanics, 2002 - ptmts.org.pl
Boundary methods are known for their niajor advantage to restrict the discretization only to
the boundaryr of a body. Among them, the most repu-ted one is the boundary integral …

Nonlinear 3D numerical computations for the square membrane versus experimental data

S Wang, GR Liu, ZQ Zhang, L Chen - Engineering structures, 2011 - Elsevier
This paper presents a discussion on the three-dimensional (3D) mechanical model
proposed by Shi et al. for the membrane deformation by comparing the experimental results …

Nonlinear dynamic analysis of heterogeneous orthotropic membranes by the analog equation method

JT Katsikadelis, GC Tsiatas - Engineering analysis with boundary elements, 2003 - Elsevier
In this paper the analog equation method, a BEM-based method, is employed to analyze the
dynamic response of flat heterogeneous orthotropic membranes of arbitrary shape …

The ponding problem on elastic membranes: an analog equation solution

JT Katsikadelis, MS Nerantzaki - Computational mechanics, 2002 - Springer
In this paper, the nonlinear response of elastic membranes with arbitrary shape under partial
and full ponding loads has been analyzed. Large deflections are considered, which result …