DESIGN OF FRAME-LIKE PERIODIC SOLIDS FOR ISOTROPIC SYMMETRY BY MEMBER SIZING

作者：Theerakittayakorn K; Suttakul P; Sam P; Nanakorn P^*

来源：Journal of Mechanics, 2017, 33(1): 41-54.

DOI：10.1017/jmech.2016.58

• Periodic solid
• Effective elastic property
• Isotropic symmetry
• Closed form

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.

• 出版日期2017-2