Assignment 1 In all but a very few vehicles today crush

Assignment 1
In all but a very few vehicles today crush or crumple zones are employed as a method to reduce energy transfer to the occupants in a crash. For the most part crumple zones form a structural part of the car such as frontal rail or rear bumper beams. In the early stages of development these crumple zones can be designed via a series of equations that take into account materials properties and geometrical features.
This assignment consists of the following three sections:
1- Using an envelope of 500 mm design a crumple zone that is capable of absorbing ~7500 Joules of energy at 40 km/h. You can choose any geometrical shape and material to achieve this but all choices have to be backed up by analytical equations. Use a crush distance of 75% of the original tube length (ie. 375 mm). Make sure if you use a strain-rate sensitive material you include this into your calculations.
2- Depending on your material choice do the following:
a. If you choose a metallic material for a single lobe of deformation show how stress and strain profiles and ultimately fracture (if occurs) progress through the deformation show this via explanations calculations and images
b. If you choose a composite material show how the fracture mechanisms/stress/strain work through lobe or ribbon formation; again show this via explanations calculations and images
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