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Compressibility of an elliptical pore in an infinite general anisotropic elastic body

Xu Wang and Peter Schiavone

Vol. 14 (2026), No. 4, 503–512
Abstract

The Stroh sextic formalism is used to derive a real-form expression for the compressibility of an elliptical pore in an infinite general anisotropic elastic body. The pore compressibility is defined as the fractional decrease in the area of the pore due to a remote hydrostatic pressure of unit magnitude. The compressibility is expressed in terms of the Barnett–Lothe tensors for the anisotropic elastic body. The compressibility attains its minimum when a particular value of the aspect ratio of the elliptical pore is chosen. This particular aspect ratio is in general not equal to unity due to the anisotropy of the elastic body.

Keywords
elliptical hole, compressibility, anisotropic elasticity, Stroh formalism, real-form solution, Barnett–Lothe tensor
Mathematical Subject Classification
Primary: 74B99, 74E10
Milestones
Received: 2 January 2026
Revised: 27 April 2026
Accepted: 17 May 2026
Published: 7 September 2026

Communicated by Victor A. Eremeyev
Authors
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
Shanghai
China
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
Edmonton, AB
Canada