Deformation pattern classification and energy absorption optimization of the eccentric body centered cubic lattice structures

2021 ◽  
Vol 212 ◽  
pp. 106813
Author(s):  
Puhao Li ◽  
Fan Yang ◽  
Yijie Bian ◽  
Siyuan Zhang ◽  
Lihua Wang
Keyword(s):  
Energy Absorption ◽  
Pattern Classification ◽  
Deformation Pattern ◽  
Lattice Structures ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Body Centered Cubic Lattice

MINIMAL KNOTTING NUMBERS

2009 ◽  
Vol 18 (08) ◽  
pp. 1159-1173 ◽  
Author(s):  
CASEY MANN ◽  
JENNIFER MCLOUD-MANN ◽  
RAMONA RANALLI ◽  
NATHAN SMITH ◽  
BENJAMIN MCCARTY
Keyword(s):  
The Body ◽  
Computer Algorithm ◽  
Face Centered Cubic ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
The Face ◽  
Face Centered ◽  
Body Centered Cubic Lattice

This article concerns the minimal knotting number for several types of lattices, including the face-centered cubic lattice (fcc), two variations of the body-centered cubic lattice (bcc-14 and bcc-8), and simple-hexagonal lattices (sh). We find, through the use of a computer algorithm, that the minimal knotting number in sh is 20, in fcc is 15, in bcc-14 is 13, and bcc-8 is 18.

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