Matches in SemOpenAlex for { <https://semopenalex.org/work/W4210572246> ?p ?o ?g. }
- W4210572246 endingPage "1631" @default.
- W4210572246 startingPage "1610" @default.
- W4210572246 abstract "We consider bifurcations from the homogeneous solution of a circular or square hyperelastic sheet that is subjected to equibiaxial stretching under either force- or displacement-controlled edge conditions. We derive the condition for axisymmetric necking and show, for the class of strain-energy functions considered, that the critical stretch for necking is greater than the critical stretch for the Treloar–Kearsley (TK) instability and less than the critical stretch for the limiting-point instability. An amplitude equation for the bifurcated necking solution is derived through a weakly nonlinear analysis and is used to show that necking initiation is generally sub-critical. Abaqus simulations are conducted to verify the bifurcation conditions and the expectation that the TK instability should occur first under force control, but when the edge displacement is controlled, the TK instability is suppressed, and it is the necking instability that will be observed. It is also demonstrated that axisymmetric necking follows a growth/propagation process typical of all such localization problems." @default.
- W4210572246 created "2022-02-08" @default.
- W4210572246 creator A5032888378 @default.
- W4210572246 creator A5070109882 @default.
- W4210572246 creator A5084356403 @default.
- W4210572246 date "2022-02-01" @default.
- W4210572246 modified "2023-10-12" @default.
- W4210572246 title "Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching" @default.
- W4210572246 cites W1526427100 @default.
- W4210572246 cites W1579111234 @default.
- W4210572246 cites W1963966586 @default.
- W4210572246 cites W1973492135 @default.
- W4210572246 cites W1983717484 @default.
- W4210572246 cites W1992627230 @default.
- W4210572246 cites W1993773448 @default.
- W4210572246 cites W1993831487 @default.
- W4210572246 cites W1994930212 @default.
- W4210572246 cites W1996003856 @default.
- W4210572246 cites W1997761289 @default.
- W4210572246 cites W2007232628 @default.
- W4210572246 cites W2012695701 @default.
- W4210572246 cites W2017947864 @default.
- W4210572246 cites W2023465090 @default.
- W4210572246 cites W2024782515 @default.
- W4210572246 cites W2031029842 @default.
- W4210572246 cites W2031608599 @default.
- W4210572246 cites W2035299876 @default.
- W4210572246 cites W2035323883 @default.
- W4210572246 cites W2039783659 @default.
- W4210572246 cites W2041384383 @default.
- W4210572246 cites W2042725097 @default.
- W4210572246 cites W2048475647 @default.
- W4210572246 cites W2053277575 @default.
- W4210572246 cites W2054619113 @default.
- W4210572246 cites W2054992112 @default.
- W4210572246 cites W2057337333 @default.
- W4210572246 cites W2062991838 @default.
- W4210572246 cites W2063773125 @default.
- W4210572246 cites W2064216797 @default.
- W4210572246 cites W2067882648 @default.
- W4210572246 cites W2071353234 @default.
- W4210572246 cites W2071500996 @default.
- W4210572246 cites W2071601178 @default.
- W4210572246 cites W2090010157 @default.
- W4210572246 cites W2095458418 @default.
- W4210572246 cites W2114210129 @default.
- W4210572246 cites W2116045599 @default.
- W4210572246 cites W2116379499 @default.
- W4210572246 cites W2124076764 @default.
- W4210572246 cites W2131344095 @default.
- W4210572246 cites W2135461343 @default.
- W4210572246 cites W2146380551 @default.
- W4210572246 cites W2149230508 @default.
- W4210572246 cites W2236240701 @default.
- W4210572246 cites W2280614790 @default.
- W4210572246 cites W2309987763 @default.
- W4210572246 cites W2324845317 @default.
- W4210572246 cites W2530627330 @default.
- W4210572246 cites W2561887658 @default.
- W4210572246 cites W2577279194 @default.
- W4210572246 cites W2780224615 @default.
- W4210572246 cites W2795272248 @default.
- W4210572246 cites W2796431080 @default.
- W4210572246 cites W2796711434 @default.
- W4210572246 cites W2890966594 @default.
- W4210572246 cites W2900470337 @default.
- W4210572246 cites W2921964282 @default.
- W4210572246 cites W2990216844 @default.
- W4210572246 cites W3025763405 @default.
- W4210572246 cites W3027050674 @default.
- W4210572246 cites W3055256847 @default.
- W4210572246 cites W3105442671 @default.
- W4210572246 cites W3108846666 @default.
- W4210572246 cites W3111682237 @default.
- W4210572246 cites W3114718540 @default.
- W4210572246 cites W3142771954 @default.
- W4210572246 cites W352436377 @default.
- W4210572246 cites W4244138646 @default.
- W4210572246 cites W2048851698 @default.
- W4210572246 doi "https://doi.org/10.1177/10812865211072897" @default.
- W4210572246 hasPublicationYear "2022" @default.
- W4210572246 type Work @default.
- W4210572246 citedByCount "5" @default.
- W4210572246 countsByYear W42105722462022 @default.
- W4210572246 countsByYear W42105722462023 @default.
- W4210572246 crossrefType "journal-article" @default.
- W4210572246 hasAuthorship W4210572246A5032888378 @default.
- W4210572246 hasAuthorship W4210572246A5070109882 @default.
- W4210572246 hasAuthorship W4210572246A5084356403 @default.
- W4210572246 hasBestOaLocation W42105722461 @default.
- W4210572246 hasConcept C119001679 @default.
- W4210572246 hasConcept C121332964 @default.
- W4210572246 hasConcept C135628077 @default.
- W4210572246 hasConcept C147370603 @default.
- W4210572246 hasConcept C159985019 @default.
- W4210572246 hasConcept C192562407 @default.
- W4210572246 hasConcept C207821765 @default.
- W4210572246 hasConcept C33026886 @default.