A. A. Vasil'ev, A. E. Miroshnichenko, “High-gradient multi-field micropolar lattice model with auxetic properties”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 10,Pages <nobr>37

MODELS OF NUMERICAL CALCULATIONS

High-gradient multi-field micropolar lattice model with auxetic properties

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

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

Abstract: We derive higher-gradient multi-field micropolar model for auxetic lattice having finite size particles. Comparative analysis of dynamical properties of discrete and different types of generalized continuum models constructed by using higher-grade, micropolar, and multi-field approaches and their combinations is given.

Keywords: auxetic lattice, plane wave solutions, higher-order multi-field micropolar model.

UDC: 539.3

Received: 05.09.2008
Revised: 19.09.2008