EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 96[110], pp. 49–65 (2014)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

NEW INTEGRAL REPRESENTATIONS IN THE LINEAR THEORY OF VISCOELASTIC MATERIALS WITH VOIDS

A. Cialdea, E. Dolce, V. Leonessa, and A. Malaspina

Department of Mathematics, Computer Science and Economics, University of Basilicata, Campus of Macchia Romana, 85100 Potenza, Italy

Abstract: We investigate the two basic internal BVPs related to the linear theory of viscoelasticity for Kelvin–Voigt materials with voids by means of the potential theory. By using an indirect boundary integral method, we represent the solution of the first (second) BVP of steady vibrations in terms of a simple (double) layer elastopotential. The representations achieved are different from the previously known ones. Our approach hinges on the theory of reducible operators and on the theory of differential forms.

Keywords: viscoelasticity, Kelvin–Voigt material with voids, integral equation methods

Classification (MSC2000): 31B10; 35C15, 74D05

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 30 Oct 2014. This page was last modified: 24 Nov 2014.

© 2014 Mathematical Institute of the Serbian Academy of Science and Arts
© 2014 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition