Vol. 13, No. 4, 2018

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Uniform stress resultants inside two nonelliptical inhomogeneities in isotropic laminated plates

Xu Wang, Liang Chen and Peter Schiavone

Vol. 13 (2018), No. 4, 531–541
Abstract

We use complex variable methods to establish two sets of specific conditions which ensure the existence of uniform and hydrostatic internal membrane stress resultants and bending moments inside two through-thickness nonelliptical elastic inhomogeneities embedded in an infinite isotropic laminated Kirchhoff plate subjected to uniform remote membrane stress resultants and bending moments. These conditions can be interpreted as restrictions on the remote membrane stress resultants and bending moments for the given material and geometric parameters. We show that when these conditions are met, explicit expressions are available for the uniform stress resultants inside the two inhomogeneities and the constant hoop stress resultants on the matrix side along the two interfaces.

Keywords
isotropic laminated plate, uniform stress resultants, complex variable method, conformal mapping
Milestones
Received: 18 April 2018
Revised: 13 August 2018
Accepted: 18 August 2018
Published: 13 December 2018
Authors
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
Shanghai
China
Liang Chen
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