Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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An analysis of resolidification in welding


Author: Gunduz Caginalp
Journal: Quart. Appl. Math. 44 (1987), 665-674
MSC: Primary 80A20
DOI: https://doi.org/10.1090/qam/872819
MathSciNet review: 872819
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  • [1] H. Nakagawa, M. Kato, F. Matsuda, T. Senda, X-ray investigations on solidification structures in weld metal, Trans. JWS 1, 94-103 (1970)
  • [2] -, Crystallographic anisotropy of columnar crystal zone in aluminum weld metal, Trans. JWS 2, 10-20 (1970)
  • [3] -, Crystallographic investigation of origination of new columnar crystal sheet, Trans. JWS 2, 1-9 (1971)
  • [4] -, Fundamental solidification mechanism and microstructures in GTA spot welds of aluminum sheets, Trans. JWS 1, 28-39 (1970)
  • [5] -, Features in weld solidification structure of high purity aluminum sheet, Trans. JWS 4, 14-19 (1973)
  • [6] W. F. Savage, C. D. Lundin, and A. H. Aronson, Weld metal solidification mechanics, Weld J. 44, 175-181 (1965)
  • [7] W. F. Savage, Solidification, segregation and weld imperfections, 1980 Houdremont Lecture Welding in the World 18, 89-113 (1980)
  • [8] L. Brush, Weld pool transitions in autogenous full penetration welds, Master's Thesis, Carnegie-Mellon University (1983)
  • [9] Gunduz Caginalp, A free boundary problem with moving source, Adv. in Appl. Math. 5 (1984), no. 4, 476–488. MR 766608, https://doi.org/10.1016/0196-8858(84)90019-8
  • [10] J. W. Hoffman and J. W. Cahn, A vector thermodynamics for anisotropic surfaces, I: Fundamentals and application to plane surface junctions, Surf. Sci. 31, 368-388 (1972)
  • [11] J. W. Cahn and D. W. Hoffman, A vector thermodynamics for anisotropic surfaces, II: Curved and faceted surfaces, Acta Metallurgica 22, 1205-1214 (1974)
  • [12] W. W. Mullins, The thermodynamics of crystal phases with curved interfaces: Special case of interface isotropy and hydrostatic pressure, Proc. Internat. Conf. on Solid-Solid Phase Transformations, H. I. Erinson, et al., eds., TMS-AIME, Warrendale, PA (1983)
  • [13] W. W. Mullins, Thermodynamic equilibrium of a crystalline sphere in a fluid, J. Chem. Phys. 81 (1984), no. 3, 1436–1442. MR 758381, https://doi.org/10.1063/1.447779
  • [14] G. P. Ivancov, The temperature field around a spherical, cylindrical or pointed crystal growing in a cooling solution, Doklady Akad. Nauk SSSR (N.S.) 58 (1947), 567–569 (Russian). MR 0024017
  • [15] W. W. Mullins, Private communication
  • [16] Handbook of chemistry and physics, R. C. Weast, ed. Chemical Rubber Publishing Co. 55th ed., 1974, page D-152.

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DOI: https://doi.org/10.1090/qam/872819
Article copyright: © Copyright 1987 American Mathematical Society


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