FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOELASTIC MATERIALS

FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOELASTIC MATERIALS

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A numerical method (F.E.)was derived for incompressible viscoelastic materials, the aging and environmental phenomena especially the temperature effect was considered in this method.

A treatment of incompressibility was made for all permissible values of poisons ratio.A mechanical model represents the incompressible viscoelastic materials hydrate + a-vitamin and so the properties can be derived using the Laplace transformations technique.A comparison was made with the other methods interested with viscoelastic materials by applying the method on a cylinder of viscoelastic material surrounding by a ladies shirts steel casing and subjected to a constant internal pressure, as well as a comparison with another viscoelastic method and for Asphalt Concrete problem exposed to constant pressure (vehicles load) was done.

The obtained results was very convenient , as well as, a large time steps can be taken than others methods.