Cosserat Continua

• Autorzy: Povstenko J.
• Języki publikacji: EN

Słowa kluczowe

EN

Mindlin's theory of microstructure; motor calculus; engine algebra

PL

teoria mikrostruktury Mindlina; rachunek motoryczny; algebra silnika

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 1999
• Tom: Vol. 6
• Strony: 75--84
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Povstenko J.

• Pedagogical University Institute of Mathematics Al. Armii Krajowej 13/15 Częstochowa 42-201

Bibliografia

• [1] Badur J., Pure gauge theory of Cosserat surJace, Int. J. Engng. Sci, 31 (1993),41-59.
• [2] Badur J., Povstenko Y.Z. On two reinterpretations of Cosserat continuum: fiberr bundle versus the motor calculus ,Arch. Mech. 50 (1998),367-376.
• [3] Cosserat E., Cosserat F. Theorie des corps deformables, Herrnann, Paris, 1909.
• [4] Dimentberg F.M., Theory of Screws and its Applications, Nauka, Moscow, 1978. (In Russian).
• [5] Eringen A.C., Suhubi E.S., Nonlinear theory of simple microelastic solids, Int. J. Engng. Sci. 2 (1964),189-204; 389-404.
• [6] Green A.E., Rivlin R.S. Multipolar continuum mechanics, Arch. Rational Mech. Anal. 17 (1964), 113-147.
• [7] Kluge G. Über den Zusammenhang der allgemeinen Versetzungsthe, de mit dem Coesetet-Kontin uum, Wiss. Z. Techn. Hochsch. Otto von Guericke Magdeburg 13 (1969), 377-380.
• [8] Mindlin R.D. Microstructure in linear elasticity, Arch. Rational Mech. Anal. 16 (1964),51-78.
• [9] Mises R., Motorrechnung, ein neues Hilfsmittel der Mechanik, Z. angew. Math. Mech. 4 (1924),155-181.
• [10] Mises R., Anwendungen der Motorrechnung, Z. angew. Math. Mech. 4 (1924), 193-213.
• [11] Osipov P.M., Ostrogradski theorem in motor calculus, Dopovidi Acad. Sci. Ukrainian SSR (8) (1960), 1019-1023. (In Ukrainian).
• [12] Osipov P.M., Stokes theorem and Green formulae in motor calculus, Dopovidi Acad. Sci, Ukrainian SSR (10) (1960), 1334-1339. (In Ukrainian] .
• [13] Panin V.E., Likhachev V.A., Griniaev Y.V., Structural Levels of Deformation in Solids, Nauka, Novosibirsk, 1985. (In Russian).
• [14] Povstenko Y.Z., Analysis of motor fields in Cosserat continua of two and one dimensions and its applications, Z. angew. Math. Mech., 66 (1986),505-507.
• [15] Povstenko Y.Z., Stress functions for continua with couple stresses, J. Elastidty 36 (1994), 99-116.
• [16] Schaefer H., Analysis der Motorfelder im Cosserat-Kontinuum, Z. angew. Math. Mech. 47 (1967),319-328.
• [17] Schaefer H., Die Spannungfunktionen eines Kontinuums mit Momenten- spannungen, BulI. Acad. Polon. Sci. Ser. Sci. Techn. 15 (1967), 71-81.
• [18] Stumpf H., Badur J., On the non-Abelian motor calculus, Z. angew. Math. Mech. 70 (1990),551-555.
• [19] Toupin R.A., Theories of elasticity with couple-stresses, Arch. Ration. Mech. Anal, 17 (1964), 85-112.