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
Full-text PDF Free Access
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Additional Information
H. Nakagawa, M. Kato, F. Matsuda, T. Senda, X-ray investigations on solidification structures in weld metal, Trans. JWS 1, 94–103 (1970)
---, Crystallographic anisotropy of columnar crystal zone in aluminum weld metal, Trans. JWS 2, 10–20 (1970)
---, Crystallographic investigation of origination of new columnar crystal sheet, Trans. JWS 2, 1–9 (1971)
---, Fundamental solidification mechanism and microstructures in GTA spot welds of aluminum sheets, Trans. JWS 1, 28–39 (1970)
---, Features in weld solidification structure of high purity aluminum sheet, Trans. JWS 4, 14–19 (1973)
W. F. Savage, C. D. Lundin, and A. H. Aronson, Weld metal solidification mechanics, Weld J. 44, 175–181 (1965)
W. F. Savage, Solidification, segregation and weld imperfections, 1980 Houdremont Lecture Welding in the World 18, 89–113 (1980)
L. Brush, Weld pool transitions in autogenous full penetration welds, Master’s Thesis, Carnegie-Mellon University (1983)
- Gunduz Caginalp, A free boundary problem with moving source, Adv. in Appl. Math. 5 (1984), no. 4, 476–488. MR 766608, DOI https://doi.org/10.1016/0196-8858%2884%2990019-8
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)
J. W. Cahn and D. W. Hoffman, A vector thermodynamics for anisotropic surfaces, II: Curved and faceted surfaces, Acta Metallurgica 22, 1205–1214 (1974)
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)
- W. W. Mullins, Thermodynamic equilibrium of a crystalline sphere in a fluid, J. Chem. Phys. 81 (1984), no. 3, 1436–1442. MR 758381, DOI https://doi.org/10.1063/1.447779
- 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
W. W. Mullins, Private communication
Handbook of chemistry and physics, R. C. Weast, ed. Chemical Rubber Publishing Co. 55th ed., 1974, page D-152.
H. Nakagawa, M. Kato, F. Matsuda, T. Senda, X-ray investigations on solidification structures in weld metal, Trans. JWS 1, 94–103 (1970)
---, Crystallographic anisotropy of columnar crystal zone in aluminum weld metal, Trans. JWS 2, 10–20 (1970)
---, Crystallographic investigation of origination of new columnar crystal sheet, Trans. JWS 2, 1–9 (1971)
---, Fundamental solidification mechanism and microstructures in GTA spot welds of aluminum sheets, Trans. JWS 1, 28–39 (1970)
---, Features in weld solidification structure of high purity aluminum sheet, Trans. JWS 4, 14–19 (1973)
W. F. Savage, C. D. Lundin, and A. H. Aronson, Weld metal solidification mechanics, Weld J. 44, 175–181 (1965)
W. F. Savage, Solidification, segregation and weld imperfections, 1980 Houdremont Lecture Welding in the World 18, 89–113 (1980)
L. Brush, Weld pool transitions in autogenous full penetration welds, Master’s Thesis, Carnegie-Mellon University (1983)
G. Caginalp, A free boundary problem with moving source, Adv. in Appl. Math. 5, 476–488 (1984)
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)
J. W. Cahn and D. W. Hoffman, A vector thermodynamics for anisotropic surfaces, II: Curved and faceted surfaces, Acta Metallurgica 22, 1205–1214 (1974)
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)
W. W. Mullins, Thermodynamic equilibrium of a crystal sphere in a fluid, Carnegie-Mellon University research report (1983)
G. P. Ivantov, The temperature field around a spherical, cylindrical or pointed crystal growing in a cooling solution, Dokl. Akad. Nauk SSSR 58, 567–569 (1947)
W. W. Mullins, Private communication
Handbook of chemistry and physics, R. C. Weast, ed. Chemical Rubber Publishing Co. 55th ed., 1974, page D-152.
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Article copyright:
© Copyright 1987
American Mathematical Society
