Analysis of elastic interactions between holes
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The elastic interactions between holes, i.e. Pressurized, equilibrium and underpressurized bubbles or cavities, are analysed. By using rigorous mathematical methods, exact and easy-to-use formulae are derived for the description of the interactions. It is proven that, contrary to previous understanding, all elastic interactions between holes are repulsive. The magnitude of the repulsive force is found to increase for decreasing hole-to-hole separations. Thus bubble coalescence can be severely inhibited, which among other effects can lead to lower material swelling. Finally, the possible role of elastic repulsions in explaining the stability of the commonly observed bubble lattices is discussed.
KeywordsPolymer Mathematical Method Repulsive Force Elastic Interaction Lower Material
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