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A BEM formulation for damage by the Dual Reciprocity Approach

, 2004
The Dual Reciprocity Method was introduced to avoid the time consuming evaluation of the domain integrals involved for elastostatics with body forces and for elastodynamic problems. The procedure was then extended to diffusion problems and plasticity. The method is essentially a generalised way of constructing particular solutions that can give rise to
MALLARDO, Vincenzo, M. H. ALIABADI
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Dual-reciprocity BEM based on global interpolation functions

Engineering Analysis With Boundary Elements, 1994
Several global shape functions are introduced to interpolate the body-force term in the dual-reciprocity boundary-element method. These global-interpolation functions, which include polynomial, trigonometric, and hyperbolic series, can be used in place ...
Alexander H -D Cheng, O E Lafe, Stephan T Grilli   +2 more
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The Dual of Frobenius' Reciprocity Theorem

Canadian Journal of Mathematics, 1973
In two preceding papers [2; 3] the author has studied the algebras of the irreducible representations λ and the classes Ci of a finite group G. Integral representations {λ} and {Ci} of these algebras are derivable from the appropriate multiplication tables [4].
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On the boundary element dual reciprocity method

Engineering Analysis with Boundary Elements, 1997
In this paper, the boundary element dual reciprocity method (BEDRM) is introduced for the solution of a class of boundary value problems. Convergence analysis of the BEDRM is carried out for Poisson's equation with Dirichlet boundary condition, using some important results on radial basis function approximation.
Bartur Jumarhon, Sia Amini, Ke Chen
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The dual reciprocity boundary element formulation for convection-diffusion-reaction problems with variable velocity field using different radial basis functions [PDF]

International Journal of Mechanical Sciences, 2018
This paper presents a dual reciprocity boundary element method (DRBEM) formulation for the solution of steady-state convection-diffusion-reaction problems with variable velocity field at moderately high P´eclet number. This scheme is based on utilising
Salam Adel Al-Bayati, L C Wröbel
exaly   +2 more sources

Some Studies on Dual Reciprocity BEM for Elastodynamic Analysis

Computational Mechanics, 1995
The accuracy of the dual reciprocity boundary element method for two-dimensional elastodynamic interior problems is investigated. A general analytical method is described for the closed form determination of the displacement and traction tensor corresponding to radial basis functions, and explicit expressions of these tensors are provided for a number ...
Agnantiaris, J. P., Polyzos, D., Beskos, D. E.   +2 more
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A Dual Cycle Reciprocating Engine

SAE Technical Paper Series, 2000
<div class="htmlview paragraph">A six-stroke reciprocating engine that combines a four-stroke internal combustion cycle with a two-stroke Rankine cycle is presented. A heat regenerator extracts the residual energy of the combustion gases expelled during the exhaust stroke of the internal combustion cycle.
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A DUAL RECIPROCITY METHOD FOR THE ANALYSIS OF ADHESIVELY PATCHED SHEETS

Communications in Numerical Methods in Engineering, 1997
Summary: A dual reciprocity method (DRM) for the analysis of problems involving thin patches adhesively bonded to a thin sheet is presented. Displacement compatibility between the sheet and patches is enforced. The attachment forces are modelled as body forces acting in subdomains within the sheet and patch domains.
Salgado, N. K., Aliabadi, M. H.
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Dual reciprocal states in finite elasticity

Journal of Elasticity, 1975
For certain equilibrium states of an elastic body dual states (in the sense of Hill [1] and Ogden [2]) can be constructed, roughly speaking by interchanging the roles of stress and deformation. Furthermore, for each of the original and dual states, a reciprocal state (in the sense of Adkins [3] and Shield [4]) can be found by interchanging initial and ...
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Computational aspect of the dual reciprocity method for dynamics

Engineering Analysis with Boundary Elements, 1996
Abstract Over the last decade the theoretical aspects of DRM have been investigated by a number of authors (Partridge, P. W., Brebbia, C. A. & Wrobel, L. C. The Dual Reciprocity Boundary Element Method. CMP, Elsevier, 1992). The technique is now well established among the BE research community, but unfortunately it has failed to attract industrial ...
S.M. Niku, R.A. Adey
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