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Creep and Relaxation

Creep is the deformation of a solid that occurs over time under constant load.

Relaxation is a phenomenon of spontaneous decrease in tension over time time with constant deformation.

The implemented creep functional is closely related to the plasticity model Drucker-Prager, therefore, when specifying material properties, you must specify yield strength and angle of internal friction. In case it is necessary to consider creep only (no plastic flow) need to specify a high limit flowability: as a result, the material will follow the Drucker-Prager model, subject to creep, but not leaving the elastic zone.

It is possible to identify creep surfaces on which the stress intensity creep is constant. As shown in Fig. 1, in axes such a surface is represented by a line parallel to the yield surface.

Fig. 1 Creep surface

Yield surface:

where β - internal angle friction, - function strengthening, in the case of ideal plasticity

Total deformations consist of elastic deformations and plastic deformations and creep deformations:

Creep strains correspond to the following equation:

where A, m, n - given constants, A and n must be positive,

Model matching in Abaqus:

Fits the Drucker Prager Creep model with the following settings:

Literature:

Abaqus User's Manual