Vol. 11, No. 5, 2016

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ISSN: 1559-3959
Interface stress of orthotropic materials with a nanodefect under antiplane shear loading

Junhua Xiao, Chuanfu Shi, Yaoling Xu and Fucheng Zhang

Vol. 11 (2016), No. 5, 491–504
Abstract

A theoretical study is conducted on an orthotropic solid with a nanodefect (e.g., inclusion, hole, or crack) under far-field antiplane shear loading. A rigorous analytical solution of the stress fields is presented using the Gurtin–Murdoch surface/interface model and a conformal mapping technique. Several new and existing solutions are considered for the special and degenerated cases. The major results of the study are as follows:

  1. Interface stresses are greatly dependent on size when the size of a defect is at the nanometer scale, and the interface stresses approach the classical elasticity results when a defect has large characteristic dimensions.
  2. The interface effect of a nanodefect decreases with an increase in defect section aspect ratio.
  3. When the modulus of the defect (inclusion) increases, the interface effect decreases, i.e., the interface effect can be neglected when the inclusion is sufficiently hard.
Keywords
orthotropic materials, nanodefects, interface stresses, antiplane shear, Gurtin–Murdoch surface/interface model
Milestones
Received: 6 July 2015
Revised: 17 March 2016
Accepted: 22 March 2016
Published: 25 September 2016
Authors
Junhua Xiao
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province
Yanshan University
Qinhuangdao, 066004
China
Chuanfu Shi
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province
Yanshan University
Qinhuangdao, 066004
China
Yaoling Xu
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province
Yanshan University
Qinhuangdao, 066004
China
Fucheng Zhang
State Key Laboratory of Metastable Materials Science and Technology
Yanshan University
Qinhuangdao, 066004
China