Post-Critical Analysis
Figure 01 - Internal Forces According to Large Deformation Analysis
Figure 02 - Unstable System: Post-Critical Failure
Figure 03 - Post-Critical Analysis
Figure 04 - Post-Critical Analysis: Increasing Load
Technical Article
In the case of a post-critical failure, a substantial change in the geometry of a structure occurs. After reaching the instability of the equilibrium, a stable, strong position is reached again. The post‑critical analysis requires an experimental approach. It is necessary to manually load the structure in increments step by step.
Example
This article shows the post‑critical analysis. A structural component can be imagined as a flat roof subjected to compression from the outside. When slowly increasing the compression, it is visible that the load is absorbed by the compression stress and transferred to a support.
Figure 01 - Internal Forces According to Large Deformation Analysis
When a certain compressive load is reached, the structural system becomes unstable and the post‑critical failure occurs.
Figure 02 - Unstable System: Post-Critical Failure
Figure 03 - Post-Critical Analysis
When increasing the load again, it is primarily absorbed by tensile stress in the structural component.
Figure 04 - Post-Critical Analysis: Increasing Load
Generally, the second‑order analysis cannot detect the post‑critical failure due to the linearization of the deformation geometry description.
Further information and examples can be found in [1] and [2], among others.
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