A. A. Vasil'ev, A. E. Miroshnichenko, “Discrete and generally-continual micropolar models of plain structural system in a stability task”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, Issue 12,Pages <nobr>29

Numerical Calculations Models for Physical-Mechanical Systems

Discrete and generally-continual micropolar models of plain structural system in a stability task

A. A. Vasil'ev^a, A. E. Miroshnichenko^b

^a Tver State University, Tver
^b Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra

Abstract: Single-field micropolar model for analysis of long wavelength form in plane loss of stability for lattice is derived. By using of an analysis in one-dimensional case, it is shown, that the single-field model does not describe losses of a stability with the short-wave form. It is shown, that losses of stability with long wavelength and short wave forms may be described by using two-field model.

Keywords: lattice, stability, multi-field micropolar model, long wavelength solutions.

UDC: 539.3

Received: 23.01.2009
Revised: 17.02.2009