TY - JOUR
T1 - Transverse rigidity is prestress stability
AU - Gortler, Steven J.
AU - Holmes-Cerfon, Miranda
AU - Theran, Louis
N1 - Funding Information:
Miranda Holmes-Cerfon acknowledges support from the Alfred P. Sloan Foundation .
Publisher Copyright:
© 2022
PY - 2022/12/15
Y1 - 2022/12/15
N2 - Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call “transverse rigidity”. We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called “prestress stability”. Indeed this leads to a novel interpretation of the prestress condition.
AB - Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call “transverse rigidity”. We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called “prestress stability”. Indeed this leads to a novel interpretation of the prestress condition.
KW - Prestress stability
KW - Rigidity Theory
KW - Second-order rigidity
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U2 - 10.1016/j.dam.2022.07.019
DO - 10.1016/j.dam.2022.07.019
M3 - Article
AN - SCOPUS:85138152342
SN - 0166-218X
VL - 322
SP - 439
EP - 441
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
ER -