Combination of boundary and finite elements in elastostatics
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In this paper, a combination of the two methods for elastostatics appears to be by Osias, lachat, and Lachat-Lachat interpolation functions are used to define the variables along these elements.About:
This article is published in Applied Mathematical Modelling.The article was published on 1979-06-01 and is currently open access. It has received 159 citations till now. The article focuses on the topics: Boundary knot method & Superelement.read more
Citations
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Journal ArticleDOI
A Galerkin approach to boundary element elastoplastic analysis
G. Maier,Castrenze Polizzotto +1 more
TL;DR: In this article, the elastoplastic boundary value problem in terms of rates, formulated using integral equations of linear elasticity, is shown to be amenable, through discretizations, to a linear complementarity problem endowed with a symmetric matrix.
Book ChapterDOI
A Review of the Theory
TL;DR: In this article, a boundary integral formulation of the warping function was proposed to compute the torsional rigidity and boundary shear stress for cross-sections inaccessible to other methods of attack.
Journal ArticleDOI
Dynamic response in the time domain by coupled boundary and finite elements
O. von Estorff,M. J. Prabucki +1 more
TL;DR: In this paper, the authors developed a finite element boundary element coupling procedure for the analysis of arbitrary shaped elastic bodies subjected to dynamic loads, which is accomplished through equilibrium and compatibility considerations along the boundary element interface.
Journal ArticleDOI
A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids
YuanTong Gu,Gui-Rong Liu +1 more
TL;DR: In this paper, a coupled EFG/boundary element (BE) method is proposed to improve the solution efficiency, where the continuity and compatibility are preserved on the interface of the two domains, where EFG and BE methods are applied.
Journal ArticleDOI
A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies
TL;DR: The numerical investigation has shown that, depending on the problem and the discretization, the results obtained on the basis of symmetric coefficient matrices may be poor, however, satisfactory results are obtained even for relatively coarse discretizations.
References
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Journal ArticleDOI
The coupling of the finite element method and boundary solution procedures
TL;DR: The finite element method is now recognized as a general approximation process which is applicable to a variety of engineering problems and boundary solution procedures have been introduced as an independent alternative which at times is more economical and possesses certain merits as mentioned in this paper.
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Boundary element methods for potential problems
TL;DR: In this paper, the boundary element formulation of potential problems is presented using weighted residual techniques, and the advantage of using this method in preference to finite elements is discussed in the applications.
Journal ArticleDOI
Weighted residual classification of approximate methods
TL;DR: A rational classification of the different approximating methods which point out their fundamental differences is presented in this paper, based on the weighted residual formulation and the type of approximating and weighting functions required.