Vol. 11, No. 1, 2016

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ISSN: 1559-3959
The application of the method of fundamental solutions in modeling auxetic materials

Tomasz Walczak, Grazyna Sypniewska-Kamińska, Bogdan T. Maruszewski and Krzysztof W. Wojciechowski

Vol. 11 (2016), No. 1, 79–90
Abstract

The paper presents an application of the method of fundamental solutions to model auxetic materials. The utility of the method has been illustrated by solution of basic elastostatic problem of searching displacements distribution for materials with different auxetic properties. Some remarks on most often difficulties occurring during computational process are also included. The presented numerical examples show that the method of fundamental solutions could be effective numerical tool for researching various properties of auxetic materials.

Keywords
auxetics, method of fundamental solutions
Milestones
Received: 20 December 2014
Revised: 1 September 2015
Accepted: 7 October 2015
Published: 13 January 2016
Authors
Tomasz Walczak
Institute of Applied Mechanics
Poznań University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland
Grazyna Sypniewska-Kamińska
Institute of Applied Mechanics
Poznań University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland
Bogdan T. Maruszewski
Institute of Applied Mechanics
Poznań University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland
Krzysztof W. Wojciechowski
Institute of Molecular Physics
Polish Academy of Sciences
Smoluchowskiego 17
60-179 Poznań
Poland