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- W1643188883 abstract "Abstract The problem of stability of the crystal shape grown from the melt is treated. The contour restricting the cross section of a crystal is subjected to an arbitrary small perturbation that can be expanded in a series over a corresponding set of orthogonal functions. Solution of a linearized two-dimensional capillary equation determines the time dependence of the expansion coefficients. The shape of a cross section is stable if the coefficients of all the expansion terms decrease with time. The analysis shows that, in case of the zero-harmonic stability, the higher harmonics are stable too. A possibility is indicated for the development of a first harmonic instability during the growth of thin fibers. Such an instability, resulting in the crystal bending, has been observed during the growth of sapphire fibers, 300 μm in diameter." @default.
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- W1643188883 date "1980-09-01" @default.
- W1643188883 modified "2023-09-23" @default.
- W1643188883 title "Crystallization stability during capillary shaping" @default.
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- W1643188883 doi "https://doi.org/10.1016/0022-0248(80)90229-8" @default.
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