The aim of this test case is to validate the following functionalities:

creep material behavior

standard and reduced integration elements

automatic time stepping

The simulation results of SimScale were compared to the analytical results in [NAFEMS_R27]. The tetrahedral meshes used were created with the parametrized-tetrahedralization-tool on the SimScale platform.

linear elastic, isotropic: $$E = 200 GPa$$,$$\nu= 0.3$$

creep formulation: Time Hardening, A = 2.6041667e-46, n = 5, m = -0.5

Important Information

The material Data of the reference was given in MPa, mm and h units and were converted to SI units using the following relation: $$A_{SI} = rac{1}{3600} cdot rac{1}{3600^m} cdot rac{1}{10^{6n}} cdot A_{MPa;h}$$ for the parameters as given in followig Time Hardening formulation: $$dot{epsilon} = A cdot sigma^n cdot t^m$$

The equations used to solve the problem are derived in [NAFEMS_R27]. As the SimScale solution is calculated using SI units, the reference solution was adopted to a time unit of seconds instead of hours.

Results

Comparison of the average creep strain $$\epsilon_{xx}^c$$ of the cube after a creep time of 3.6e6 s (1000 h) with the analytical solution presented in [NAFEMS_R27]:

Comparison of the creep strain $$\epsilon_{xx}^c$$¶

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