A BEM formulation for inelastic transient dynamic analysis using domain decomposition and particular integrals

This study deals with the domain decomposition method and particular integrals for multi-region inelastic transient dynamic analysis. The particular integral formulation for single-region inelastic transient dynamic analysis is obtained by eliminating the acceleration volume integral and treating th...

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Bibliographic Details
Published in:Computational mechanics 2010-04, Vol.45 (5), p.457-466
Main Authors: Phansri, Bupavech, Park, Kyung-Ho, Warnitchai, Pennung
Format: Article
Language:English
Subjects:
Acceleration
Algorithms
Boundary conditions
Classical and Continuum Physics
Computational Science and Engineering
Decomposition
Domain decomposition methods
Dynamic tests
Dynamical systems
Dynamics
Engineering
Initial stresses
Integrals
Iterative methods
Mathematical analysis
Mathematical models
Original Paper
Theoretical and Applied Mechanics
Time integration
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Summary:This study deals with the domain decomposition method and particular integrals for multi-region inelastic transient dynamic analysis. The particular integral formulation for single-region inelastic transient dynamic analysis is obtained by eliminating the acceleration volume integral and treating the initial stress term by volume cell. The Houbolt time integration scheme is used for the time- marching process. The Newton-Raphson algorithm for plastic multiplier is used to solve the system equation. In order to extend to multi-region problems, the domain decomposition method is examined. The domain of the original problem is subdivided into subregions. The interface boundary conditions are updated by using the iterative coupling employing Schwarz algorithm. Numerical results of two example problems are given to demonstrate the validity and accuracy of the present formulation.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-010-0466-4