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A micropolar continuum theory for the flow of granular materials. (English) Zbl 0399.73010


MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74A15 Thermodynamics in solid mechanics
74L10 Soil and rock mechanics
Full Text: DOI

References:

[1] Drucker, D. C., Q. Appl. Math., 10, 157 (1952) · Zbl 0047.43202
[2] Spencer, A. J.M., J. Mech. Phys. Solid, 12, 337 (1964) · Zbl 0125.15208
[3] Sokolovski, V. V., Statics of Granular Media (1965), Pergamon Press: Pergamon Press Oxford
[4] Mandl, G.; Luque, R. Fernández, Géotechnique, 19, 277 (1970)
[5] Brown, R. L.; Richards, J. C., Principles of Powder Mechanics (1970), Pergamon Press: Pergamon Press Oxford
[6] Mullins, W. W., J. Appl. Phys., 43, 665 (1972)
[7] Goodman, M. A.; Cowin, S. C., J. Fluid Mech., 45, 321 (1971) · Zbl 0241.76013
[8] Goodman, M. A.; Cowin, S. C., Arch. Rat. Mech. Anal., 44, 249 (1972) · Zbl 0243.76005
[9] Cowin, S. C., Powder Technol., 9, 61 (1974)
[10] Cowin, S. C.; Goodman, M. A., Z. ang. Math. Mech., 56, 281 (1976) · Zbl 0336.73006
[11] Reynolds, O., Phil. Mag. Series 5, 20, 469 (1885)
[12] Rowe, P. W., (Proc. R. Soc., A269 (1963)), 500
[13] Bagnold, R. A., (Proc. R. Soc., A225 (1954)), 49
[14] Bagnold, R. A., (Proc. R. Soc., A295 (1966)), 219
[15] Cosserat, E.; Cosserat, F., Théorie des corps déformables (1909), Hermann · JFM 40.0862.02
[16] Mindlin, R. D.; Tiersten, H. F., Arch. Rational Mech. Anal., 11, 415 (1962) · Zbl 0112.38906
[17] Toupin, R. A., Arch. Rational Mech. Anal., 17, 113 (1964) · Zbl 0133.17604
[18] Oshima, N., RAAG Memoirs, 1, 563 (1964)
[19] Eringen, A. C.; Suhubi, E. S., Int. J. Engng Sci., 2, 189 (1964) · Zbl 0138.21202
[20] Eringen, A. C.; Kafadar, C. B., (Eringen, A. C., Continuum Physics—IV (1976), Academic Press: Academic Press New York), 1-73
[21] Geophys. Mag., 11, 165 (1937)
[22] Hayashi, T.; Imai, I.; Kuribayashi, K., Oyobutsuri, 6, 506 (1937), (in Japanese)
[23] Oyama, Y., Riken Iho, 19, 1052 (1940), (in Japanese)
[24] Shoji, H., J. Soc. Agricultural Machinery Japan, 11, 134 (1947), (in Japanese)
[25] Oshima, N.; Ogawa, S., JSME Preprint, 760-15, 89 (1976), (in Japanese)
[26] Ogawa, S., (Cowin, S. C.; Satake, M., Proc. of the U.S.-Japan Seminar on Continuum Mechanical and Statistical Approaches in the Mechanics of Granular Materials (1978), Gakujutsu Bunken Fukyu-kai: Gakujutsu Bunken Fukyu-kai Tokyo), 208-217
[27] S. B. SAVAGE, Fluid Mech; S. B. SAVAGE, Fluid Mech
[28] (Kroner, E., Mechanics of Generalized Continua (1968), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0169.00201
[29] Bolotin, V. V., The Dynamic Stability of Elastic Systems (1964), Holden-Day: Holden-Day New York · Zbl 0125.15301
[30] Milican, C. B., Phil. Mag. Series 7, 7, 641 (1929)
[31] Finlayson, B. A., The Method of Weighted Residuals and Variational Principle (1972), Academic Press: Academic Press New York · Zbl 0319.49020
[32] Hill, R., The Mathematical Theory of Plasticity (1950), Clarendon Press: Clarendon Press Oxford · Zbl 0041.10802
[33] Eringen, A. C., Nonlinear Theory of Continuous Media (1962), McGraw Hill: McGraw Hill New York
[34] Truesdell, C.; Noll, W., (Handbuch der Physik III/3 (1965), Springer-Verlag: Springer-Verlag Berlin)
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