CONSISTENT INFINITESIMAL FINITE ELEMENT CELL METHOD FOR INCOMPRESSIBLE UNBOUNDED MEDIUM

✍ Scribed by SONG, CHONGMIN ;WOLF, JOHN P.

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 173 KB
• Volume: 13
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199701)13:1<21::aid-cnm38>3.0.co;2-z

✦ Synopsis

In a dynamic unbounded medium±structure interaction analysis in the time domain performed with the substructure method the unit-impulse response function on the structure±medium interface of the unbounded medium is determined. The consistent in®nitesimal ®nite element cell method based solely on the ®nite element formulation has been developed for compressible elasticity. In this paper the procedure is expanded to the incompressible case. The limit of Poisson's ratio 0Á5 is performed analytically. This yields a concentrated mass in the formulation representing the instantaneous response over the entire domain not present in compressible elasticity. The only modi®cation appears in the coecient matrices of the consistent in®nitesimal ®nite element equation which can be solved with the same numerical algorithm as in the compressible case. Excellent accuracy results also in very complicated inhomogeneous situations.