Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100446075> ?p ?o ?g. }
- W3100446075 endingPage "339" @default.
- W3100446075 startingPage "313" @default.
- W3100446075 abstract "In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by the parent (austenite) phase and a region occupied by the product (martensite) phase, which can occur in two variants (twins). The model, first proposed by Kohn and Müller (Philos Mag A 66(5):697–715, 1992), is defined by the following functional: $$mathcal (E)(u) = 2pibeta||u(0,cdot)||^2_{dot H^{1/2}([0,h])} + int_{0}^{L} dx int_0^h dy, big( |u_x|^2 + frac{varepsilon}2|u_{yy}| big),$$ where $${u:[0,L]times[0,h] to mathbb{R}}$$ is periodic in y and $${u_{y} = pm1}$$ almost everywhere. Conti (Cont Mech Therm 17(6):469–476, 2006) proved that if $${beta gtrsim varepsilon L/h^2}$$ and $${(varepsilon/L)^{1/3}lesssim h/L}$$ , then the minimal specific energy scales like $${sim min{(varepsilonbeta/L)^{1/2}, (varepsilon/L)^{2/3}}}$$ , as $${(varepsilon/L) to 0}$$ . In the regime $${(varepsilonbeta/L)^{1/2}ll (varepsilon/L)^{2/3}}$$ , we improve Conti’s results, by computing exactly the minimal energy and by proving that minimizers are periodic one-dimensional sawtooth functions." @default.
- W3100446075 created "2020-11-23" @default.
- W3100446075 creator A5017451822 @default.
- W3100446075 creator A5060718297 @default.
- W3100446075 date "2011-11-16" @default.
- W3100446075 modified "2023-09-26" @default.
- W3100446075 title "Striped Periodic Minimizers of a Two-Dimensional Model for Martensitic Phase Transitions" @default.
- W3100446075 cites W1661985997 @default.
- W3100446075 cites W1772841853 @default.
- W3100446075 cites W1966779513 @default.
- W3100446075 cites W1970612242 @default.
- W3100446075 cites W1990829398 @default.
- W3100446075 cites W2005291935 @default.
- W3100446075 cites W2015993522 @default.
- W3100446075 cites W2018117350 @default.
- W3100446075 cites W2026132129 @default.
- W3100446075 cites W2033875024 @default.
- W3100446075 cites W2034500244 @default.
- W3100446075 cites W2036445404 @default.
- W3100446075 cites W2048130711 @default.
- W3100446075 cites W2049635189 @default.
- W3100446075 cites W2051651396 @default.
- W3100446075 cites W2062546867 @default.
- W3100446075 cites W2063049213 @default.
- W3100446075 cites W2065545288 @default.
- W3100446075 cites W2066181993 @default.
- W3100446075 cites W2067519679 @default.
- W3100446075 cites W2069552330 @default.
- W3100446075 cites W2072973024 @default.
- W3100446075 cites W2076008129 @default.
- W3100446075 cites W2109846132 @default.
- W3100446075 cites W2122477669 @default.
- W3100446075 cites W2132488183 @default.
- W3100446075 cites W2147465668 @default.
- W3100446075 cites W2151733572 @default.
- W3100446075 cites W2163055580 @default.
- W3100446075 cites W3104212518 @default.
- W3100446075 doi "https://doi.org/10.1007/s00220-011-1374-y" @default.
- W3100446075 hasPublicationYear "2011" @default.
- W3100446075 type Work @default.
- W3100446075 sameAs 3100446075 @default.
- W3100446075 citedByCount "16" @default.
- W3100446075 countsByYear W31004460752013 @default.
- W3100446075 countsByYear W31004460752014 @default.
- W3100446075 countsByYear W31004460752015 @default.
- W3100446075 countsByYear W31004460752016 @default.
- W3100446075 countsByYear W31004460752017 @default.
- W3100446075 countsByYear W31004460752018 @default.
- W3100446075 countsByYear W31004460752019 @default.
- W3100446075 countsByYear W31004460752020 @default.
- W3100446075 countsByYear W31004460752021 @default.
- W3100446075 countsByYear W31004460752022 @default.
- W3100446075 countsByYear W31004460752023 @default.
- W3100446075 crossrefType "journal-article" @default.
- W3100446075 hasAuthorship W3100446075A5017451822 @default.
- W3100446075 hasAuthorship W3100446075A5060718297 @default.
- W3100446075 hasBestOaLocation W31004460752 @default.
- W3100446075 hasConcept C114614502 @default.
- W3100446075 hasConcept C121332964 @default.
- W3100446075 hasConcept C177731217 @default.
- W3100446075 hasConcept C186370098 @default.
- W3100446075 hasConcept C2524010 @default.
- W3100446075 hasConcept C26873012 @default.
- W3100446075 hasConcept C33923547 @default.
- W3100446075 hasConcept C37914503 @default.
- W3100446075 hasConcept C57691317 @default.
- W3100446075 hasConcept C62520636 @default.
- W3100446075 hasConceptScore W3100446075C114614502 @default.
- W3100446075 hasConceptScore W3100446075C121332964 @default.
- W3100446075 hasConceptScore W3100446075C177731217 @default.
- W3100446075 hasConceptScore W3100446075C186370098 @default.
- W3100446075 hasConceptScore W3100446075C2524010 @default.
- W3100446075 hasConceptScore W3100446075C26873012 @default.
- W3100446075 hasConceptScore W3100446075C33923547 @default.
- W3100446075 hasConceptScore W3100446075C37914503 @default.
- W3100446075 hasConceptScore W3100446075C57691317 @default.
- W3100446075 hasConceptScore W3100446075C62520636 @default.
- W3100446075 hasIssue "2" @default.
- W3100446075 hasLocation W31004460751 @default.
- W3100446075 hasLocation W31004460752 @default.
- W3100446075 hasLocation W31004460753 @default.
- W3100446075 hasLocation W31004460754 @default.
- W3100446075 hasOpenAccess W3100446075 @default.
- W3100446075 hasPrimaryLocation W31004460751 @default.
- W3100446075 hasRelatedWork W1502924496 @default.
- W3100446075 hasRelatedWork W2019434046 @default.
- W3100446075 hasRelatedWork W2035400912 @default.
- W3100446075 hasRelatedWork W2091300528 @default.
- W3100446075 hasRelatedWork W2595366339 @default.
- W3100446075 hasRelatedWork W2605487712 @default.
- W3100446075 hasRelatedWork W2952980437 @default.
- W3100446075 hasRelatedWork W3103870748 @default.
- W3100446075 hasRelatedWork W3204040146 @default.
- W3100446075 hasRelatedWork W4381621130 @default.
- W3100446075 hasVolume "309" @default.
- W3100446075 isParatext "false" @default.
- W3100446075 isRetracted "false" @default.
- W3100446075 magId "3100446075" @default.