General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity

M. Kashtalyan, J. J. Rushchitsky

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A general Love solution for the inhomogeneous linear transversely isotropic theory of elasticity with the elastic constants dependent on the coordinate r is proposed. The axisymmetric case is analyzed and cylindrical coordinates are used. The key steps of deriving the classical Love solution are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. This is the fifth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results obtained are promising for the modern theory of functionally graded materials.
Original languageEnglish
Pages (from-to)367-376
Number of pages10
JournalInternational Applied Mechanics
Volume46
Issue number4
DOIs
Publication statusPublished - Oct 2010

Fingerprint

Elasticity
Functionally graded materials
Elastic constants

Keywords

  • linear inhomogeneous elasticity
  • transversely isotropic material
  • Love-type solution

Cite this

General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity. / Kashtalyan, M.; Rushchitsky, J. J.

In: International Applied Mechanics, Vol. 46, No. 4, 10.2010, p. 367-376.

Research output: Contribution to journalArticle

@article{234df12f9fbe49c8a3c8664fa2f5c41c,
title = "General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity",
abstract = "A general Love solution for the inhomogeneous linear transversely isotropic theory of elasticity with the elastic constants dependent on the coordinate r is proposed. The axisymmetric case is analyzed and cylindrical coordinates are used. The key steps of deriving the classical Love solution are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. This is the fifth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results obtained are promising for the modern theory of functionally graded materials.",
keywords = "linear inhomogeneous elasticity, transversely isotropic material, Love-type solution",
author = "M. Kashtalyan and Rushchitsky, {J. J.}",
year = "2010",
month = "10",
doi = "10.1007/s10778-010-0318-0",
language = "English",
volume = "46",
pages = "367--376",
journal = "International Applied Mechanics",
issn = "1063-7095",
publisher = "Springer New York",
number = "4",

}

TY - JOUR

T1 - General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity

AU - Kashtalyan, M.

AU - Rushchitsky, J. J.

PY - 2010/10

Y1 - 2010/10

N2 - A general Love solution for the inhomogeneous linear transversely isotropic theory of elasticity with the elastic constants dependent on the coordinate r is proposed. The axisymmetric case is analyzed and cylindrical coordinates are used. The key steps of deriving the classical Love solution are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. This is the fifth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results obtained are promising for the modern theory of functionally graded materials.

AB - A general Love solution for the inhomogeneous linear transversely isotropic theory of elasticity with the elastic constants dependent on the coordinate r is proposed. The axisymmetric case is analyzed and cylindrical coordinates are used. The key steps of deriving the classical Love solution are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. This is the fifth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results obtained are promising for the modern theory of functionally graded materials.

KW - linear inhomogeneous elasticity

KW - transversely isotropic material

KW - Love-type solution

U2 - 10.1007/s10778-010-0318-0

DO - 10.1007/s10778-010-0318-0

M3 - Article

VL - 46

SP - 367

EP - 376

JO - International Applied Mechanics

JF - International Applied Mechanics

SN - 1063-7095

IS - 4

ER -