Open AccessA Well Stated Time Domain Integral Representation for Elastodynamic Analysis and Applications
Author(s) -
Humberto Breves Coda
Publication year - 2002
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73862002000100007
Subject(s) - representation (politics) , collocation (remote sensing) , gravitational singularity , domain (mathematical analysis) , boundary (topology) , computer science , mathematics , integral equation , mathematical analysis , calculus (dental) , medicine , dentistry , machine learning , politics , political science , law
This article discusses three possible ways to derive time domain boundary integral representations for elastodynamics. This discussion points out possible difficulties found when using those formulations to deal with practical applications. The discussion points out recommendations to select the convenient integral representation to deal with elastodynamic problems and opens the possibility of deriving simplified schemes. The proper way to take into account initial conditions applied to the body is an interesting topict shown. It illustrates the main differences between the discussed boundary integral representation expressions, their singularities and possible numerical problems. The correct way to use collocation points outside the analyzed domain is carefully described. Some applications are shown at the end of the paper, in order to demonstrate the capabilities of the technique when properly used