A Well Stated Time Domain Integral Representation for Elastodynamic Analysis and Applications



Document title: A Well Stated Time Domain Integral Representation for Elastodynamic Analysis and Applications
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312131
ISSN: 0100-7386
Authors: 1
Institutions: 1Universidade de Sao Paulo, Escola de Engenharia de Sao Carlos, Sao Carlos, Sao Paulo. Brasil
Year:
Season: Mar
Volumen: 24
Number: 1
Pages: 46-61
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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
Disciplines: Física y astronomía,
Matemáticas
Keyword: Mecánica, elasticidad y reología,
Matemáticas aplicadas,
Elastodinámica,
Representaciones integrales,
Condiciones de frontera
Keyword: Physics and astronomy,
Mathematics,
Mechanics, elasticity and rheology,
Applied mathematics,
Elastodynamics,
Integral representations,
Boundary elements
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