In the present paper we consider an orthotropic micropolar elastic material subject to a state of plane strain. In this context, we establish necessary and sufficient conditions for the strong ellipticity of constitutive coefficients. Furthermore, we study existence of progressive plane waves under the strong ellipticity conditions previously determined. Finally, we detail the results obtained for a specific class of materials related to tetragonal systems. (C) 2011 Elsevier Ltd. All rights reserved.
On the strong ellipticity for orthotropic micropolar elastic bodies in a plane strain state
PASSARELLA, Francesca;TIBULLO, VINCENZO;ZAMPOLI, VITTORIO
2011-01-01
Abstract
In the present paper we consider an orthotropic micropolar elastic material subject to a state of plane strain. In this context, we establish necessary and sufficient conditions for the strong ellipticity of constitutive coefficients. Furthermore, we study existence of progressive plane waves under the strong ellipticity conditions previously determined. Finally, we detail the results obtained for a specific class of materials related to tetragonal systems. (C) 2011 Elsevier Ltd. All rights reserved.File in questo prodotto:
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