FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2133136670> ?p ?o ?g. }

• W2133136670 endingPage "186" @default.
• W2133136670 startingPage "161" @default.
• W2133136670 abstract "We address the number of solutions in constrained Elastica, i.e. the number of forms and tensions possibly adopted by steady rods or sheets enclosed in a prescribed box. Our main result refers to sheets making contact with the compressing plates at their extremities only. For these so-called folds, we provide the first demonstration of uniqueness of solution. This result is obtained by combining direct methods that are focused on definite families of solutions and global methods that address the structure of the set of solutions in the parameter space. While the first methods are specific to Elastica, the latter are not and may be applied to other kinds of systems. We then address the origins of the multiplicity of solutions in more general configurations and find two of them: geometrical non-linearity; freedom in the distribution of the length of flat contacts. The former gives rise to two free-standing fold solutions beyond buckling; the latter yields multiple buckling thresholds and thus multiple elastic responses to compression. Altogether, these results improve the non-local analysis of Elastica and clarify the reasons for unique or multiple buckling thresholds in constrained configurations. Moreover, fold uniqueness appears very useful for saving computational times in the numerical quest for solutions, for detecting parasitic solutions in simulations, for establishing the robustness of the Euler’s model and for clarifying the role of friction. On a more general ground, our study provides non-local methods for determining the conditions for bifurcation in constrained systems involving a free energy." @default.
• W2133136670 created "2016-06-24" @default.
• W2133136670 creator A5017350777 @default.
• W2133136670 creator A5049411157 @default.
• W2133136670 date "2004-06-01" @default.
• W2133136670 modified "2023-10-16" @default.
• W2133136670 title "Uniqueness of solutions for constrained Elastica" @default.
• W2133136670 cites W1561307122 @default.
• W2133136670 cites W1967320546 @default.
• W2133136670 cites W1982132243 @default.
• W2133136670 cites W1989314826 @default.
• W2133136670 cites W2000788945 @default.
• W2133136670 cites W2010162682 @default.
• W2133136670 cites W2011807201 @default.
• W2133136670 cites W2021591685 @default.
• W2133136670 cites W2040439431 @default.
• W2133136670 cites W2056657320 @default.
• W2133136670 cites W2064725227 @default.
• W2133136670 cites W2078925777 @default.
• W2133136670 cites W2088917895 @default.
• W2133136670 cites W3101682876 @default.
• W2133136670 cites W4210992751 @default.
• W2133136670 cites W4248874792 @default.
• W2133136670 doi "https://doi.org/10.1016/j.physd.2003.12.013" @default.
• W2133136670 hasPublicationYear "2004" @default.
• W2133136670 type Work @default.
• W2133136670 sameAs 2133136670 @default.
• W2133136670 citedByCount "29" @default.
• W2133136670 countsByYear W21331366702013 @default.
• W2133136670 countsByYear W21331366702014 @default.
• W2133136670 countsByYear W21331366702015 @default.
• W2133136670 countsByYear W21331366702016 @default.
• W2133136670 countsByYear W21331366702017 @default.
• W2133136670 countsByYear W21331366702018 @default.
• W2133136670 countsByYear W21331366702019 @default.
• W2133136670 countsByYear W21331366702020 @default.
• W2133136670 countsByYear W21331366702021 @default.
• W2133136670 countsByYear W21331366702022 @default.
• W2133136670 countsByYear W21331366702023 @default.
• W2133136670 crossrefType "journal-article" @default.
• W2133136670 hasAuthorship W2133136670A5017350777 @default.
• W2133136670 hasAuthorship W2133136670A5049411157 @default.
• W2133136670 hasConcept C104317684 @default.
• W2133136670 hasConcept C121332964 @default.
• W2133136670 hasConcept C127413603 @default.
• W2133136670 hasConcept C134306372 @default.
• W2133136670 hasConcept C158622935 @default.
• W2133136670 hasConcept C185592680 @default.
• W2133136670 hasConcept C2524010 @default.
• W2133136670 hasConcept C2777021972 @default.
• W2133136670 hasConcept C2781349735 @default.
• W2133136670 hasConcept C28826006 @default.
• W2133136670 hasConcept C33923547 @default.
• W2133136670 hasConcept C41008148 @default.
• W2133136670 hasConcept C55493867 @default.
• W2133136670 hasConcept C62520636 @default.
• W2133136670 hasConcept C63479239 @default.
• W2133136670 hasConcept C66938386 @default.
• W2133136670 hasConcept C73586568 @default.
• W2133136670 hasConcept C85476182 @default.
• W2133136670 hasConceptScore W2133136670C104317684 @default.
• W2133136670 hasConceptScore W2133136670C121332964 @default.
• W2133136670 hasConceptScore W2133136670C127413603 @default.
• W2133136670 hasConceptScore W2133136670C134306372 @default.
• W2133136670 hasConceptScore W2133136670C158622935 @default.
• W2133136670 hasConceptScore W2133136670C185592680 @default.
• W2133136670 hasConceptScore W2133136670C2524010 @default.
• W2133136670 hasConceptScore W2133136670C2777021972 @default.
• W2133136670 hasConceptScore W2133136670C2781349735 @default.
• W2133136670 hasConceptScore W2133136670C28826006 @default.
• W2133136670 hasConceptScore W2133136670C33923547 @default.
• W2133136670 hasConceptScore W2133136670C41008148 @default.
• W2133136670 hasConceptScore W2133136670C55493867 @default.
• W2133136670 hasConceptScore W2133136670C62520636 @default.
• W2133136670 hasConceptScore W2133136670C63479239 @default.
• W2133136670 hasConceptScore W2133136670C66938386 @default.
• W2133136670 hasConceptScore W2133136670C73586568 @default.
• W2133136670 hasConceptScore W2133136670C85476182 @default.
• W2133136670 hasIssue "3-4" @default.
• W2133136670 hasLocation W21331366701 @default.
• W2133136670 hasLocation W21331366702 @default.
• W2133136670 hasLocation W21331366703 @default.
• W2133136670 hasOpenAccess W2133136670 @default.
• W2133136670 hasPrimaryLocation W21331366701 @default.
• W2133136670 hasRelatedWork W2153163137 @default.
• W2133136670 hasRelatedWork W2163891442 @default.
• W2133136670 hasRelatedWork W2369390809 @default.
• W2133136670 hasRelatedWork W2566715599 @default.
• W2133136670 hasRelatedWork W2949403936 @default.
• W2133136670 hasRelatedWork W2952139525 @default.
• W2133136670 hasRelatedWork W3023806604 @default.
• W2133136670 hasRelatedWork W37710062 @default.
• W2133136670 hasRelatedWork W4386195282 @default.
• W2133136670 hasRelatedWork W571281153 @default.
• W2133136670 hasVolume "192" @default.
• W2133136670 isParatext "false" @default.
• W2133136670 isRetracted "false" @default.
• W2133136670 magId "2133136670" @default.

• next