Propagation of axisymmetric longitudinal waves in a finitely prestrained circular cylinder imbedded in a finitely prestrained infinite elastic body |
| |
Authors: | S D Akbarov M S Guliev |
| |
Institution: | (1) Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Yildiz Technical University, Davutpasa campus No. 127, 34210 Topkapi, Istanbul, Turkey;(2) Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, 37041 Baku, Azerbaijan;(3) Faculty of General Technical Disciplines, Department of Physics, Genje State University, Genje, Azerbaijan |
| |
Abstract: | Within the framework of a piecewise homogeneous body model and with the use of the three-dimensional linearized theory of
elastic waves in initially stressed bodies (TLTEWISB), the propagation of axisymmetric longitudinal waves in a finitely prestrained
circular cylinder (fiber) imbedded in a finitely prestrained infinite elastic body (matrix) is investigated. It is assumed
that the fiber and matrix materials have the same density and are in compressible. The stress-strain relations for them are
given through the Treloar potential. Numerical results regarding the influence of initial strains in the fiber and matrix
on wave dispersion are presented and discussed. These results are obtained for the following cases: the fiber and matrix are
both without initial strains; only the fiber is prestretched; only the matrix is prestretched; the fiber and matrix are both
prestretched simultaneously; the fiber and matrix are both precompressed simultaneously.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 5, pp. 665–684, September–October, 2008. |
| |
Keywords: | initial strain in compressible material unidirectional fibrous composite wave dispersion wave propagation |
本文献已被 SpringerLink 等数据库收录! |
|