Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 986242, 35 pages
Review Article

Improved Continuous Models for Discrete Media

1Institute of General Mechanic, RWTH Aachen University, Templergraben 64, 52056 Aachen, Germany
2Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowski St., 90-924 Łódź, Poland

Received 9 June 2009; Accepted 23 September 2009

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2010 I. V. Andrianov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper focuses on continuous models derived from a discrete microstructure. Various continualization procedures that take into account the nonlocal interaction between variables of the discrete media are analysed.