Macromechanical modelling of cosserat elastic and visco-elastic media
DOI:
https://doi.org/10.7242/1999-6691/2009.2.2.11Keywords:
Cosserat continuum, longitudinal wave, visco-elastic operatorAbstract
It is shown that the dynamics of a Cosserat continuum (a micropolar medium) can be modeled as a motion of two rods interacting elastically or visco-elastically. The relation between the elasticity constants of the Cosserat medium and the initial parameters of the rods has been established. For the first time a visco-elastic operator has been introduced in the model of a micro-polar medium.
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Cosserat E. et F. Theorie des corps deformables. - Paris: Librairie Scientifique A. Hermann et Fils, 1909. - 226p.
Novackij V. Teoria uprugosti. - M.: Mir, 1975. - 872s.
Eringen A.K. Teoria mikropolarnoj uprugosti // Razrusenie. - M.: Mir, 1975. - T. 2. - S.132-136.
Deev V.M. Sistemnyj analiz uravnenij prostranstvennoj zadaci nesimmetricnoj teorii uprugosti v peremeseniah // Matem. modelirovanie v estestvennyh naukah: Tez. dokl. 10-j Vseros. konf. molodyh ucenyh (Perm’, 26-29 sentabra 2001 g). - Perm’: Izd-vo PGTU. S.14.
Erofeev V.I. Volnovye processy v tverdyh telah s mikrostrukturoj. - M.: Izd-vo MGU, 1999. -328s.
Lalin A.E., Pirozkov V.A., Stepanov R.D. O rasprostranenii poverhnostnyh voln v srede Kossera // Akust. zurnal. - 1982. - T. 28, No 6. - S.838-840.
Kules M.A., Matveenko V.P., Sardakov I.N. Dispersia i polarizacia poverhnostnyh voln Relea dla sredy Kossera // Izv. RAN. MTT. - 2007. - No 4. - S.100-113.
Kules M.A., Matveenko V.P., Sardakov I.N. O rasprostranenii uprugih poverhnostnyh voln v srede Kossera // Dokl. RAN. - 2005. - T. 405, No 2. - S.196-198.
Tovstik P.E., Tovstik T.P. Rasprostranenie voln po sostavnomu sterznu // Volnovaa dinamika masin i konstrukcij: Materialy Vseros. konf. posvasennoj pamati A.I. Vesnickogo (N. Novgorod, 1-5 iuna 2004 g.). - N. Novgorod: Izd-vo <>. - 2004. - S.110.
Gauthier R.D., Jahsman W.E. A quest for micropolar elastic constants // Arch. Mech., - 1981. - V. 33, N. 5. - P. 717-737.
Sagomonan A.A. Volny naprazenia v splosnyh sredah. - M.: Izd-vo MGU, 1985. - 416s.
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