Abstract
Following Golebiewska-Lasota and Edelen, a gauge structure existing in the field of the stress and the stress function is demonstrated, on the basis of an electromagnetic analogy given elsewhere. The four-tensors and four-vectors are used to state the set of fundamental equations, and the gauge condition and the gauge transformations are given in a similar way to electromagnetic theory.
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References
Edelen, G. B., and Lagoudas, C. (1987).Gauge Theory and Defects in Solids, North-Holland, Amsterdam.
Golebiewska-Lasota, A. A. (1979).International Journal of Engineering Science,17, 329–333.
Golebiewska-Lasota, A. A., and Edelen, D. G. B. (1979).International Journal of Engineering Science,17, 335.
Kadič, A., and Edelen, D. G. B. (1983).A Gauge Theory of Dislocations and Disclinations, Springer, Berlin.
Kröner, E. (1986). InTrends in Applications of Pure Mathematics to Mechanics, Kröner and Kirchgassner, eds., p. 281.
Kunin, I. A., and Kunin, B. I. (1986).Trends in Applications of Pure Mathematics to Mechanics, Kröner and Kirchgassner, eds., p. 246.
Minagawa, S. (1962).RAAG Memoirs,3, Kondo, ed., p. 135.
Minagawa, S. (1968).RAAG Memoirs,4, Kondo, ed., p. 159.
Minagawa, S. (1970).Physica Status Solidi,39, 217.
Minagawa, S. (1971).Physica Status Solidi (B),47, 197.
Schaefer, H. (1953).Zeitschrift für Angewandte Mathematik und Mechanik,33, 356.
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Minagawa, S. A trial of the gauge theory for the stress-function space. Int J Theor Phys 29, 1271–1276 (1990). https://doi.org/10.1007/BF00672936
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DOI: https://doi.org/10.1007/BF00672936