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

Abstract

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 viscoelastic problem reduces 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.

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