A model based on the finite-volume theory for the analysis linear viscoelastic heterogeneous materials. / Análise de estruturas de materiais compósitos viscoelásticos lineares através da teoria de volumes finitos.

AUTOR(ES)
DATA DE PUBLICAÇÃO

2010

RESUMO

The present work extends the Parametric Formulation of the Finite-Volume Theory to the case of heterogeneous materials with time-dependent behavior. Such a theory has already proved to be an efficient alternative to the Finite Element Method in the modeling of linear elastic heterogeneous materials. Firstly, general expressions for linear viscoelasticity are considered, determining deferred strains with a State Variables formulation. Expressions for the basic rheological models are given, extended to 3D situations and set in an adequate matrix form. Temperature dependence is modeled using the time-temperature equivalence principle. Then, the Parametric Formulation of the Finite-Volume Theory is reviewed and extended including the consideration of viscoelastic deformations. Detailed matrix expressions for the incremental solution of linear thermoviscoelastic problems are given. The numerical results are verified with several examples using analytical solutions found in the literature or determined by using the Correspondence Principle.

ASSUNTO(S)

materiais avançados finite-volume theory teoria de volumes finitos advanced materials linear viscoelasticity materiais heterogêneos engenharia civil viscoelasticidade linear heterogeneous materials

ACESSO AO ARTIGO

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