Boundary conditions resulting from cylindrical and longitudinal periodicities

LI, S, KYAW, Si and JONES, A (2014). Boundary conditions resulting from cylindrical and longitudinal periodicities. Computers & Structures, 133, 122-130.

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Abstract

Materials with patterned microstructures can be represented by a unit cell within which micromechanical stresses can be analysed. This approach, with accurate boundary conditions, allows huge savings to be made in computation time without affecting the accuracy of the results. In this paper, sets of boundary conditions for unit cells with periodicity in axial and circumferential directions are derived. These are verified by analysis of circular and hexagonal rods subjected to thermal loading, uniform tension or uniform torsion. The analysis of a thermal barrier coating system with a periodic oxide interface is presented as an application of the boundary conditions.

Item Type:	Article
Uncontrolled Keywords:	Unit cells; Periodic boundary conditions; Finite element analysis; Representative volume elements
Departments - Does NOT include content added after October 2018:	Faculty of Science, Technology and Arts > Department of Engineering and Mathematics
Page Range:	122-130
Depositing User:	Si Kyaw
Date Deposited:	23 Dec 2016 15:32
Last Modified:	18 Mar 2021 17:45
URI:	https://shura.shu.ac.uk/id/eprint/14271

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