UWE Bristol Engineering showcase 2015
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James Pickup<br />
Meng Mechanical <strong>Engineering</strong><br />
Project Supervisor<br />
Laura Maybury, in association with MBDA<br />
Bonding in pressure vessels<br />
An investigation in to the plausibly of permanently bond together a pressure vessel with epoxy adhesive.<br />
The existing pressure vessel design is assembled<br />
with screw-in bolts but according to MBDA’s<br />
observations this tends to leak, losing it internal<br />
pressure. It is thought that this is due to the<br />
screws loosening over time, reducing the force<br />
holding the lid down tight. MBDA wish to solve<br />
this problem by finding a way of permanently<br />
bonding the pressure vessel parts together,<br />
ensuring that it does not leak or explode under the<br />
internal pressure of 10 bars, as well as meeting all<br />
necessary criteria.<br />
The overall aim of this two year investigation is to<br />
prove the plausibility of assembling a pressure<br />
vessel with adhesive bonding, while reaching all<br />
necessary performance requirements. This first<br />
year focuses on the stress of the bond and show<br />
whether the internal pressure will cause failure of<br />
the pressure vessel.<br />
The properties of the bonding method was<br />
researched and the bonds tested through<br />
analytical calculation, modelling in finite element<br />
analysis and practical experimentation.<br />
A practical element to this study is necessary to<br />
allow for ‘real life’ tests to verify the results and<br />
predictions from computer analysis. In order for<br />
this to be possible there must be a set of results<br />
that can be directly compared. The practical tests<br />
will be design in a way that will be easily replicated<br />
in the FEA modelling, by breaking down the<br />
combinations of different stresses into their<br />
individual components. The types of stress in the<br />
bond will be found by studying the different ways<br />
a joint can fail. It is therefore important for the<br />
practical testing to include all aspects of joint<br />
stress, as well as accurately portraying the real life<br />
reactions for each type of stress so that the output<br />
values can be compared.<br />
The parts of the pressure vessel were built in<br />
Abaqus and then assembles surface to surface and<br />
meshed according to the tested methods of the<br />
previous section, with the mesh becoming fine<br />
closer to the bond, and a very fine mesh of three<br />
elements thick for the layer of epoxy.<br />
By removing the parts of the pressure vessel,<br />
leaving only the epoxy the stress distribution is<br />
clearly visible. The highest levels of stress are at<br />
the inner surface, reducing at the radius increases<br />
through the pipe wall as seen below.<br />
Project summary<br />
This investigation is based on the<br />
improvement of an existing pressure vessel<br />
design, built by MBDA. The existing design of<br />
the pressure vessel fastens an lid to the main<br />
container with bolts. Unfortunately, MBDA<br />
have noticed a reduction in pressure, as the<br />
vessels leaks. A possible solution to this<br />
leaking is to redesign the vessel with a<br />
permanent bonding method.<br />
Project Objectives<br />
Through a combination of analytical<br />
calculations, FEA modelling and practical<br />
calculations it is hoped to prove the<br />
plausibility of using an epoxy resin to provide<br />
a permanent bond to assemble the pressure<br />
vessel.<br />
The thick wall pressure vessel equations, shown<br />
above, were used to give an initial estimate of the<br />
levels of stress expected in the container. These<br />
results were then validated in FEA Abaqus.<br />
In order to prove that the pressure vessel will not<br />
explode from the adhesive failing under the internal<br />
pressure, it is necessary to build a complete vessel<br />
model within the FEA software, Abaqus. This complete<br />
model will include a solid part layer representing the<br />
epoxy in the assembly. This is the only way to test the<br />
whole pressure vessel, as it has not been possible to<br />
obtain nor destructively test a fully sized, real pressure<br />
vessel.<br />
It is important to consider any possible error there<br />
may be in the comparison results, but even with<br />
the stress error doubling the current results the<br />
epoxy would still hold the applied forces.<br />
Critical results<br />
Von Mises Stress: 8.63 x 1.2 = 10.356 MPa<br />
Reserve factor: 30.1 x 10.356 = 2.90<br />
Project Conclusion<br />
The final figures of stresses expected in the<br />
epoxy bond compared to the maximum<br />
stresses of the epoxy show it is capable of<br />
withstanding the internal pressure.