Matches in SemOpenAlex for { <https://semopenalex.org/work/W2051268780> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2051268780 endingPage "61" @default.
- W2051268780 startingPage "53" @default.
- W2051268780 abstract "Abstract It is now well-known that when an infinitely long hyperelastic membrane tube free from any imperfections is inflated, a transcritical-type bifurcation may take place that corresponds to the sudden formation of a localized bulge. When the membrane tube is subjected to localized wall-thinning, the bifurcation curve would “unfold” into the turning-point type with the lower branch corresponding to uniform inflation in the absence of imperfections, and the upper branch to bifurcated states with larger amplitude. In this paper stability of bulged configurations corresponding to both branches is investigated with the use of the spectral method. It is shown that under pressure control and with respect to axi-symmetric perturbations, configurations corresponding to the lower branch are stable but those corresponding to the upper branch are unstable. Stability or instability is established by demonstrating the non-existence or existence of an unstable eigenvalue (an eigenvalue with a positive real part). This is achieved by constructing the Evans function that depends only on the spectral parameter. This function is analytic in the right half of the complex plane where its zeroes correspond to the unstable eigenvalues of the generalized spectral problem governing spectral instability. We show that due to the fact that the skew-symmetric operator J involved in the Hamiltonian formulation of the basic equations is onto, the zeroes of the Evans function can only be located on the real axis of the complex plane. We also comment on the connection between spectral (linear) stability and nonlinear (Lyapunov) stability." @default.
- W2051268780 created "2016-06-24" @default.
- W2051268780 creator A5041998777 @default.
- W2051268780 creator A5084356403 @default.
- W2051268780 date "2014-07-01" @default.
- W2051268780 modified "2023-09-23" @default.
- W2051268780 title "Stability of an inflated hyperelastic membrane tube with localized wall thinning" @default.
- W2051268780 cites W1965709657 @default.
- W2051268780 cites W1982022398 @default.
- W2051268780 cites W1987521411 @default.
- W2051268780 cites W2006499665 @default.
- W2051268780 cites W2019835734 @default.
- W2051268780 cites W2026853732 @default.
- W2051268780 cites W2030992357 @default.
- W2051268780 cites W2054619113 @default.
- W2051268780 cites W2062991838 @default.
- W2051268780 cites W2080263396 @default.
- W2051268780 cites W2081145489 @default.
- W2051268780 cites W2128778444 @default.
- W2051268780 cites W2187070651 @default.
- W2051268780 cites W2321514107 @default.
- W2051268780 cites W3157093441 @default.
- W2051268780 cites W4213132260 @default.
- W2051268780 cites W4246090481 @default.
- W2051268780 doi "https://doi.org/10.1016/j.ijengsci.2014.02.031" @default.
- W2051268780 hasPublicationYear "2014" @default.
- W2051268780 type Work @default.
- W2051268780 sameAs 2051268780 @default.
- W2051268780 citedByCount "31" @default.
- W2051268780 countsByYear W20512687802015 @default.
- W2051268780 countsByYear W20512687802016 @default.
- W2051268780 countsByYear W20512687802017 @default.
- W2051268780 countsByYear W20512687802018 @default.
- W2051268780 countsByYear W20512687802019 @default.
- W2051268780 countsByYear W20512687802020 @default.
- W2051268780 countsByYear W20512687802021 @default.
- W2051268780 countsByYear W20512687802022 @default.
- W2051268780 countsByYear W20512687802023 @default.
- W2051268780 crossrefType "journal-article" @default.
- W2051268780 hasAuthorship W2051268780A5041998777 @default.
- W2051268780 hasAuthorship W2051268780A5084356403 @default.
- W2051268780 hasBestOaLocation W20512687802 @default.
- W2051268780 hasConcept C112972136 @default.
- W2051268780 hasConcept C119857082 @default.
- W2051268780 hasConcept C121332964 @default.
- W2051268780 hasConcept C135628077 @default.
- W2051268780 hasConcept C147370603 @default.
- W2051268780 hasConcept C159985019 @default.
- W2051268780 hasConcept C18903297 @default.
- W2051268780 hasConcept C192562407 @default.
- W2051268780 hasConcept C2777551473 @default.
- W2051268780 hasConcept C2781353100 @default.
- W2051268780 hasConcept C41008148 @default.
- W2051268780 hasConcept C57879066 @default.
- W2051268780 hasConcept C86803240 @default.
- W2051268780 hasConcept C97355855 @default.
- W2051268780 hasConceptScore W2051268780C112972136 @default.
- W2051268780 hasConceptScore W2051268780C119857082 @default.
- W2051268780 hasConceptScore W2051268780C121332964 @default.
- W2051268780 hasConceptScore W2051268780C135628077 @default.
- W2051268780 hasConceptScore W2051268780C147370603 @default.
- W2051268780 hasConceptScore W2051268780C159985019 @default.
- W2051268780 hasConceptScore W2051268780C18903297 @default.
- W2051268780 hasConceptScore W2051268780C192562407 @default.
- W2051268780 hasConceptScore W2051268780C2777551473 @default.
- W2051268780 hasConceptScore W2051268780C2781353100 @default.
- W2051268780 hasConceptScore W2051268780C41008148 @default.
- W2051268780 hasConceptScore W2051268780C57879066 @default.
- W2051268780 hasConceptScore W2051268780C86803240 @default.
- W2051268780 hasConceptScore W2051268780C97355855 @default.
- W2051268780 hasLocation W20512687801 @default.
- W2051268780 hasLocation W20512687802 @default.
- W2051268780 hasOpenAccess W2051268780 @default.
- W2051268780 hasPrimaryLocation W20512687801 @default.
- W2051268780 hasRelatedWork W1994103032 @default.
- W2051268780 hasRelatedWork W2011052271 @default.
- W2051268780 hasRelatedWork W2051268780 @default.
- W2051268780 hasRelatedWork W2051270029 @default.
- W2051268780 hasRelatedWork W2082293200 @default.
- W2051268780 hasRelatedWork W2137307547 @default.
- W2051268780 hasRelatedWork W2380293314 @default.
- W2051268780 hasRelatedWork W2943188944 @default.
- W2051268780 hasRelatedWork W4285802202 @default.
- W2051268780 hasRelatedWork W4317433637 @default.
- W2051268780 hasVolume "80" @default.
- W2051268780 isParatext "false" @default.
- W2051268780 isRetracted "false" @default.
- W2051268780 magId "2051268780" @default.
- W2051268780 workType "article" @default.