This example is a Monte Carlo analysis of a steel tube being crushed. The effect of both a variation in material thickness and a variation in the plastic stress-strain curve is investigated. The geometry is shown in the figure in its original and partially deformed state (Fig. 1(a)). The z-displacement of the upper tube boundary is also shown below as a history (Fig. 1(b)). The minimum value of the z-displacement is used as the response variable, and the response is compared to a crush distance of the selected normal design.
![prob_desc.png prob_desc.png](https://www.lsoptsupport.com/examples/robustness/reliability-analysis/problem-description/prob_desc.png)
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A scale factor (SIGY) is used to modify the plastic stress-strain curve. The binary LSDA LS-DYNA database is used for the extraction of the maximum displacement (largest negative value given in the direction of the z-axis, hence the MIN selection) response.
![tube_history2.png tube_history2.png](https://www.lsoptsupport.com/examples/robustness/reliability-analysis/problem-description/tube_history2.png)
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Fig. 1(a) |
Fig. 1(b) |
Possible approaches for the problem solution