×

Analysis of motor fields in Cosserat continua of two and one dimensions and its applications. (English) Zbl 0624.73010

The motor calculus was developed by R. v. Mises. Among others it has been used effectively in investigations of three-dimensional Cosserat- continua. In the present paper the differential operators for surface and line motors are introduced and their applications to two- and one- dimensional Cosserat-continua are given.
Reviewer: Th.Lehmann

MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
53A35 Non-Euclidean differential geometry
Full Text: DOI

References:

[1] Von Mises, Z. angew. Math. Mech. 4 pp 155– (1924)
[2] Von Mises, Z. angew. Math. Mech. 4 pp 193– (1924)
[3] Schaefer, Z. angew. Math. Mech. 47 pp 319– (1967)
[4] Kessel, Z. angew. Math. Mech. 47 pp 329– (1967)
[5] Schaefer, Bull. Acad. Polon. Sci. Sér. Sci. Techn. 15 pp 71– (1967)
[6] Schaefer, Z. Angew. Math. u. Phys. 20 pp 891– (1969)
[7] Kluge, Wiss. Z. Techn. Hochsch. Magdeburg 13 pp 377– (1969)
[8] [Russian Text Ignored.] 2 (1980), 4, 3–15; 5, 3–12; 4 (1982), 1, 3–7.
[9] [Russian Text Ignored.] 1985.
[10] Differential Geometry of Three Dimensions, v. 1, Cambridge University Press, Cambridge 1927. · JFM 53.0658.08
[11] [Russian Text Ignored.] (1960), 1019–1023.
[12] [Russian Text Ignored.] 4 (1940), 7–32.
[13] [Russian Text Ignored.] 4 (1940), 35–42.
[14] Linear theory of static disclinations. In: ; ; (eds.), Fundamental Aspects of Dislocation Theory. Proc. Internat. Conf., Gaithersburg 21.–25. 4. 69. Washington: U.S. Government Printing Office 1970, v. 1, pp., 651–673.
[15] Kossecka, Arch. Mech. 29 pp 633– (1977)
[16] Buff, J. Chem. Phys. 26 pp 23– (1957)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.