TY - JOUR
T1 - A quest for 2D lattice materials for actuation
AU - Pronk (student), T. N.
AU - Ayas, C.
AU - Tekõglu, C.
PY - 2017
Y1 - 2017
N2 - In the last two decades, most of the studies in shape morphing technology have focused on the Kagome lattice materials, which have superior properties such as in-plane isotropy, high specific stiffness and strength, and low energy requirement for actuation of its members. The Kagome lattice is a member of the family of semi-regular tessellations of the plane. Two fundamental questions naturally arise: i-) What makes a lattice material suitable for actuation? ii-) Are there other tessellations more effective than the Kagome lattice for actuation? The present paper tackles both questions, and provides a clear answer to the first one by comparing an alternative lattice material, the hexagonal cupola, with the Kagome lattice in terms of mechanical/actuation properties. The second question remains open, but, hopefully easier to challenge owing to a newly-discovered criterion: for an n-dimensional (n=2,3) in-plane isotropic lattice material to be suitable for actuation, its pin-jointed equivalent must obey the generalised Maxwell's rule, and must possess M=3(n−1) non strain-producing finite kinematic mechanisms.
AB - In the last two decades, most of the studies in shape morphing technology have focused on the Kagome lattice materials, which have superior properties such as in-plane isotropy, high specific stiffness and strength, and low energy requirement for actuation of its members. The Kagome lattice is a member of the family of semi-regular tessellations of the plane. Two fundamental questions naturally arise: i-) What makes a lattice material suitable for actuation? ii-) Are there other tessellations more effective than the Kagome lattice for actuation? The present paper tackles both questions, and provides a clear answer to the first one by comparing an alternative lattice material, the hexagonal cupola, with the Kagome lattice in terms of mechanical/actuation properties. The second question remains open, but, hopefully easier to challenge owing to a newly-discovered criterion: for an n-dimensional (n=2,3) in-plane isotropic lattice material to be suitable for actuation, its pin-jointed equivalent must obey the generalised Maxwell's rule, and must possess M=3(n−1) non strain-producing finite kinematic mechanisms.
KW - Actuators
KW - Cellular solids
KW - Finite element method
KW - Lattice materials
KW - Static/kinematic determinacy
UR - http://www.scopus.com/inward/record.url?scp=85019590832&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2017.05.007
DO - 10.1016/j.jmps.2017.05.007
M3 - Article
AN - SCOPUS:85019590832
SN - 0022-5096
VL - 105
SP - 199
EP - 216
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
ER -