Abstract
The Cosserat continuum is a material continuum with “points” which may rotate independently of the displacements. A better interpretation of this continuum is offered through the assignment of rigid triads of vectors to the points, and admitting the triads to rotate independently of the points of the medium.
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References
E. and F. Cosserat: “Sur la mécanique générale”, C. R. Acad. Sc. Paris, 145, 1139–1142 (1907).
E. and F. Cosserat: “Sur la théorie des corps minces”, C.R. Acad. Sci. Paris, 146, 169–172 (1908).
E. and F. Cosserat: “La théorie des corps déformables”, Paris (1909).
J.L. Ericksen and C. Truesdell: “Exact theory of stress and strain in rods and shells”, Arch. Rat. Mech. Analysis 1, 295–323 (1958).
J. Sudria: “L’action euclidienne de déformation et de mouvement”, Mem. Sc. Physique, 29, Paris (1935).
E. Kroner: “Kontinuumstheorie der Versetzungen und Eigenspannungen”, Ergeb. Angew. Math., 5, Berlin-Gottingen-Heidelberg, (1958).
W. Gunther: “Zur Statik und Kinematik des Cosseratschen Kontinuums”, Abh. Braunschw. Wiss. Ges. 10, 195–213 (1958).
H. Schafer: “Versuch einer Elastizitatstheorie der zweidimensionalen ebenen Cosserat-Kontinuums”, Miszellaneen der angew. Mech., Festschrift W. Tolmien, 277–292, Berlin (1962).
S. C. Cowin: “Mechanics of Cosserat continua”, Doct. Diss. Pennsylvania State Univ., (1962).
E.L. Aero and E. V. Kuvshinskii: “Osnovnie uravnenia teorii uprugosti sred s vrashchatal’nim vzaimodeistviem chastic”, Fiz. Tv. Tela 2, 1399–1409, (1960).
C. Truesdell and R. Toupin: “The classical field theories”, Handb. der Phys. (ed. S. Flügge), Bd. III/1, Berlin-Götting. -Heidelberg, (1960).
G. Grioli: “Elasticità asimmetrica”, Ann. di Mat. Pura ed Appl., Ser. 1V, 50, 389–417 (1960).
R. Toupin: “Elastic materials with couple-stresses”, Arch. Rat. Mech. Anal. 11, 385–414. (1962).
E. V. Kuvshinskii, E.L. Aero: “Kontinual’naja teoria asimetricheskoi uprugosti. Uchet ”vnutrennego“ vrashchenia”, Fiz. Tv. Tela 5, 2591–2598 (1963).
R. Toupin: “Theories of elasticity with couple-stresses” Arch. Rat. Mech. Anal. 17, 85–112 (1964).
A. C. Eringen: “Theory of micropolar continua”, Proc. 9th Midwestern Mech. Conference, Madison, Wisconsin (1965).
A. C. Eringen and E.S. Suhubi: “Nonlinear theory of simple microelastic solids”, Int. J..Engng. Sc., 2, 189–203 (1964).
R. Stojanovic and S. Djuric: “On the measures of strain in the theory of the elastic generalized Cosserat continua”, Symposia Mathematics 1, 211–228, (1968).
R. Stojanovic: “Mechanics of Polar Continua”, CISM, Udine, (1969).
C. B. Kafadar and A. C. Eringen: “Micropolar media-I. The classical theory”, Int. J. Eng. Sc., 9, 271–305 (1971).
R. Toupin: “The elastic dielectric”, J. Rat. Mech. Anal. 5, 849–915 (1955).
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© 1974 Springer-Verlag Wien
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Stojanovic, R. (1974). Nonlinear Micropolar Elasticity. In: Nowacki, W., Olszak, W. (eds) Micropolar Elasticity. International Centre for Mechanical Sciences, vol 151. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2920-3_3
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DOI: https://doi.org/10.1007/978-3-7091-2920-3_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81262-4
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