Transient dynamic elastoplastic analysis by the dual reciprocity BEM

Kontoni, D.P.N.; Beskos, D.E.

doi:10.1016/0955-7997(93)90063-q

Cited by 60 publications

(35 citation statements)

References 2 publications

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“…Figure 5.a-d, provides the history ofthe vertical displacement ofpoint Aas obtained by the above DRIBEM (Agnantiaris et al 1996) for various types of radial basis functions. The results are in good agreement with each other and with those of the FEM computer program NONSAP (Kontoni and Beskos 1993). …”

Section: Numerical Examplessupporting

confidence: 89%

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Dynamic Analysis of Structures and Structural Systems

Beskos

2003

Boundary Element Advances in Solid Mechanics

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Abstract. This chapter deals with the dynamic analysis of various structures and soil-structural systems by the direct conventional boundary element method (BEM) in both the frequency and time domains. When the BEM is used in the frequency or time domain in conjunction with the corresponding elastodynamic fundamental solution, only linear elastodynamic problems are considered. In this case only the surface of the analyzed structure has to be discretized. When the material behavior is inelastic ( elastoplastic, viscoplastic or damaged), use is made of the elastostatic fundamental solution and this requires both a surface and an interior discretization to accommodate the inertia and inelastic volume integrals in the time domain formulation. The structures analysed include two -and three -dimensional elastic and inelastic solids and Kirchhoff and Reissner inelastic plates. The soil -structure interacting systems analysed include multiple foundations, underground structures, vibration isolation by trenches or piles and earth and concrete dams. The dynamic input can be either extemally applied forces or seismic waves of any direction and time variation. Emphasis is given on recent advanced techniques for accurately and efficiently analyzing three-dimensional structures and structural systems discussed mainly in published works ofthe author and his co-workers.

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Section: Numerical Examplessupporting

confidence: 89%

“…The inertia volume integral can be transformed into a boundary one through the aforementioned dual reciprocity approach. Thus the only domain integral is the inelastic one and the interior domain discretization can be confined only to those parts of the structural domain expected to become inelastic (Kontoni and Beskos 1993).…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Structures and Structural Systems

Beskos

2003

Boundary Element Advances in Solid Mechanics

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“…Carrer and Mansur [10], Hatzigeorgiou and Beskos [11], Kontoni and Beskos [12], Partridge et al [13], Agnantiaris et al [14,15].…”

Section: Time-marching Schemementioning

confidence: 99%

“…On the other hand, by means of suitable interpolation functions the domain integral can be transformed into boundary integrals, generating the so-called DR-BEM formulations (DR meaning double reciprocity), e.g. Kontoni and Beskos [12], Partridge et al [13], Agnantiaris et al [14,15]. Although…”

Section: Introductionmentioning

confidence: 99%

Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions

2008

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This work is concerned with the development of a D-BEM approach to the solution of 2D scalar wave propagation problems. The time-marching process can be accomplished with the use of the Houbolt method, as usual, or with the use of the Newmark method. Special attention was devoted to the development of a procedure that allows for the computation of the initial conditions contributions. In order to verify the applicability of the Newmark method and also the correctness of the expressions concerned with the computation of the initial conditions contributions, four examples are presented and the D-BEM results are compared with the corresponding analytical solutions.

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“…This allows the transformation of the domain integrals into boundary integrals. The present method is called the Dual Reciprocity BEM and is widely used in dynamics [2].…”

Section: Boundary Integral Formulationmentioning

confidence: 99%

Boundary element method for dynamic inelastic analysis

Czyż

Fedeliński

2006

Proc Appl Math and Mech

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The paper shows formulation and application of the boundary element method (BEM) for dynamic analysis of elastoplastic materials. The initial stress approach is used in the elastoplastic analysis. The mass matrices are computed by the dual reciprocity method (DRBEM). Displacements and stresses are computed by the iterative procedure in each time step. The time dependent problem is solved by the direct integration Houbolt method. The methods presented in the paper are applied to compute displacements and stresses in a crank loaded by dynamic forces.

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Transient dynamic elastoplastic analysis by the dual reciprocity BEM

Cited by 60 publications

References 2 publications

Dynamic Analysis of Structures and Structural Systems

Dynamic Analysis of Structures and Structural Systems

Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions

Boundary element method for dynamic inelastic analysis

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