Transverse rigidity is prestress stability

Steven J. Gortler; Miranda Holmes-Cerfon; Louis Theran

doi:10.1016/j.dam.2022.07.019

Transverse rigidity is prestress stability

Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	439-441
Number of pages	3
Journal	Discrete Applied Mathematics
Volume	322
DOIs	https://doi.org/10.1016/j.dam.2022.07.019
State	Published - Dec 15 2022

Keywords

Prestress stability
Rigidity Theory
Second-order rigidity

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.1016/j.dam.2022.07.019

Cite this

@article{ee514aafb862461a84c2fe1e3694a819,

title = "Transverse rigidity is prestress stability",

abstract = "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.",

keywords = "Prestress stability, Rigidity Theory, Second-order rigidity",

author = "Gortler, {Steven J.} and Miranda Holmes-Cerfon and Louis Theran",

note = "Publisher Copyright: {\textcopyright} 2022",

year = "2022",

month = dec,

day = "15",

doi = "10.1016/j.dam.2022.07.019",

language = "English (US)",

volume = "322",

pages = "439--441",

journal = "Discrete Applied Mathematics",

issn = "0166-218X",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Transverse rigidity is prestress stability

AU - Gortler, Steven J.

AU - Holmes-Cerfon, Miranda

AU - Theran, Louis

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

UR - http://www.scopus.com/inward/record.url?scp=85138152342&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85138152342&partnerID=8YFLogxK

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 -

Transverse rigidity is prestress stability

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this