Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
A three-phase anisotropic elastic elliptical inhomogeneity with internal linear stress and strain distributions

Xu Wang and Peter Schiavone

Vol. 17 (2022), No. 5, 489–501

We use the Stroh sextic formalism to examine the internal elastic field of stresses and strains inside an anisotropic elastic elliptical inhomogeneity which is bonded to an infinite anisotropic elastic matrix through an intermediate isotropic elastic interphase layer with two confocal elliptical interfaces when the matrix is subjected to nonuniform remote stresses and strains assumed to be linear functions of the two in-plane coordinates. We prove that for given geometric and material parameters characterizing the composite, linear internal stress and strain distributions inside the elliptical inhomogeneity remain possible when two specific conditions are satisfied for the remote loading. In addition, the internal linear elastic field inside the elliptical inhomogeneity is determined in real-form in terms of the two 6×6 fundamental elasticity matrices for the inhomogeneity and the matrix and the three Barnett–Lothe tensors for the matrix.

three-phase elliptical inhomogeneity, anisotropic elasticity, isotropic elasticity, Stroh sextic formalism, real-form solution, nonuniform loading
Received: 16 June 2022
Accepted: 26 July 2022
Published: 22 February 2023
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
Edmonton, AB