Análise viscoelástica de estruturas laminadas mediante emprego da inversao numérica da transformada de Laplace

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Document typeArticle
Defense date1997
PublisherCentro Internacional de Métodos Numéricos en Ingeniería
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Abstract
Este trabalho focaliza a análise viscoelástica de estruturas laminadas em material compósito de matriz polimérica, propondo o emprego de métodos de inversa0 numérica da transformada de Laplace numa formulacao adaptada ao método dos elementos finitos. Nesta abordagem alternativa,as equacóes constitutivas viscoelásticas, formuladas no plano complexo da variável de transformacáo S , reduzem o problema a urna análise elástica equivalente. As solu~óesc omplexas sáo entiio retornadas ao plano físico para o valor de tempo desejado, dispensando processos incrementais.
Exemplos de aplicaqóes siio executados comparando-se os resultados do Método da
Transformada de Laplace com o Método das Variáveis de Estado que trata o problema
viscoelástico de forma incremental. The viscoelastic analysis of laminated structures of polymeric matrix composite materials using Laplace transform is the objective of this work. The inverse of the Laplace transform is carried out using numerical methods adapted to a finite element method formulation. In this alternative aproach, as the constitutive equations are formulated on the complex
plane in the transformation variable 'S', the viscoelasti~problemre duces to an equivalent elastic one. The complex solutions are then sent back to the physical plane for the desired time value, dispensing incremental processes. Examples of aplications compairing results obtained with the Laplace Transformation Method and the State Variables Method (that treats the viscoelastic problem in an incremental
form) are presented.
CitationPacheco, Alexandre R.; Creus, Guillermo J.. "Análise viscoelástica de estruturas laminadas mediante emprego da inversao numérica da transformada de Laplace". Revista internacional de métodos numéricos, 1997, Vol. 13, núm. 4
ISSN1886-158X
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