7.6 Finite-strain viscoelasticity

Products: Abaqus/Standard  Abaqus/Explicit  

Benefits: When large-strain viscoelasticity is used with hyperelasticity, Abaqus provides a new formulation that is appropriate for rubberlike solids. This formulation was available in Abaqus 6.9 with some limitations. In this release the formulation has been extended to elements with one-dimensional stress states in Abaqus/Standard. Steady-state transport analysis is also now supported for one-dimensional and plane stress elements.

Description: When time-domain viscoelasticity is specified as part of a hyperelastic material definition, Abaqus provides a new formulation in which the hereditary integral is written using the standard push-forward operator that is applicable for rubberlike solids. Viscoelastic dissipation computations have also been improved to produce more accurate results.

The response in cyclic simple shear for the new formulation is shown in Figure 7–1, where the response of the new formulation is compared with that of the old formulation. Under larger strains the new formulation gives physically more reasonable results than the old formulation.

Figure 7–1 Viscoelastic response in cyclic simple shear.

The new formulation is not used for hyperfoam materials.

References:

Abaqus Analysis User's Manual

Abaqus Keywords Reference Manual

Abaqus Verification Manual

Abaqus Theory Manual