During laser keyhole welding of thin plates, the melt pool is relatively wide compared to the plate thickness. Under certain conditions, an elongated keyhole can be created and a permanent hole is sometimes left in the weld seam. The generation of such holes is determined by surface tension effects in the melt which can generate a self-sustaining geometry at the rear of the melt pool. The geometry of the shape is known as a catenoid and has clear geometrical limits.
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Eriksson et al. (2013) studied this question.
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