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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.

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