[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2004.17.6.735

A fourth order finite difference method applied to elastodynamics: Finite element and boundary element formulations

Souza, L.A. (CT/UEL - Universidade Estadual de Londrina)
Carrer, J.A.M. (COPPE/UFRJ - Universidade Federal do Rio de Janeiro)
Martins, C.J. (COPPE/UFRJ - Universidade Federal do Rio de Janeiro)

Publication Information

Structural Engineering and Mechanics / v.17, no.6, 2004 , pp. 735-749 More about this Journal

Abstract

This work presents a direct integration scheme, based on a fourth order finite difference approach, for elastodynamics. The proposed scheme was chosen as an alternative for attenuating the errors due to the use of the central difference method, mainly when the time-step length approaches the critical time-step. In addition to eliminating the spurious numerical oscillations, the fourth order finite difference scheme keeps the advantages of the central difference method: reduced computer storage and no requirement of factorisation of the effective stiffness matrix in the step-by-step solution. A study concerning the stability of the fourth order finite difference scheme is presented. The Finite Element Method and the Boundary Element Method are employed to solve elastodynamic problems. In order to verify the accuracy of the proposed scheme, two examples are presented and discussed at the end of this work.

Keywords

direct integration methods; fourth order finite difference method; D-BEM; FEM;

Citations & Related Records

Times Cited By Web Of Science : 9 (Related Records In Web of Science)
Times Cited By SCOPUS : 10

Reference
Cited By SCOPUS

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1	/ Engineering Analysis with Boundary Elements
2	/ Computer Methods in Applied Mechanics and Engineering
3	/ Journal of Computational Physics
4	/ Structural Engineering and Mechanics
5	/
6	/ Computational Mechanics
7	/ Computational Mechanics
8	/ International Journal for Numerical Methods in Engineering
9	/ Computers and Structures
10	/ Engineering Analysis with Boundary Elements