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Design of Frame-Like Periodic Solids for Isotropic Symmetry by Member Sizing

Published online by Cambridge University Press:  11 July 2016

K. Theerakittayakorn ,
P. Suttakul ,
P. Sam  and
P. Nanakorn
K. Theerakittayakorn
Affiliation:
School of Civil Engineering and TechnologySirindhorn International Institute of TechnologyThammasat UniversityPathumthani, Thailand
P. Suttakul
Affiliation:
School of Civil Engineering and TechnologySirindhorn International Institute of TechnologyThammasat UniversityPathumthani, Thailand
P. Sam
Affiliation:
School of Civil Engineering and TechnologySirindhorn International Institute of TechnologyThammasat UniversityPathumthani, Thailand
P. Nanakorn*
Affiliation:
School of Civil Engineering and TechnologySirindhorn International Institute of TechnologyThammasat UniversityPathumthani, Thailand
*
*Corresponding author ([email protected])
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Abstract

In this study, a methodology to design frame-like periodic solids for isotropic symmetry by appropriate sizing of unit-cell struts is presented. The methodology utilizes the closed-form effective elastic constants of 2D frame-like periodic solids with square symmetry and 3D frame-like periodic solids with cubic symmetry, derived using the homogenization method based on equivalent strain energy. By using the closed-form effective elastic constants, an equation to enforce isotropic symmetry can be analytically constructed. Thereafter, the equation can be used to determine relative unit-cell strut sizes that are required for isotropic symmetry. The methodology is tested with 2D and 3D frame-like periodic solids with some common unit-cell topologies. Satisfactory results are observed.

Keywords

Periodic solidEffective elastic propertyIsotropic symmetryClosed form
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. 41 - 54
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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