About: Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires     Goto   Sponge   Distinct   Permalink

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  • We provide an existence theory for the full thermomechanical quasi-static evolution of a shape memory wire described by the Souza–Auricchio constitutive model. The analysis requires some mild restriction on the choice of the thermomechanical coupling term in the expression on the free energy of the material. This restriction slightly deviates from the original Souza–Auricchio modeling frame, while still being compatible with real situations. We additionally show that, by imposing no such restriction, the original Souza–Auricchio model is ill-posed.
  • We provide an existence theory for the full thermomechanical quasi-static evolution of a shape memory wire described by the Souza–Auricchio constitutive model. The analysis requires some mild restriction on the choice of the thermomechanical coupling term in the expression on the free energy of the material. This restriction slightly deviates from the original Souza–Auricchio modeling frame, while still being compatible with real situations. We additionally show that, by imposing no such restriction, the original Souza–Auricchio model is ill-posed. (en)
Title
  • Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires
  • Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires (en)
skos:prefLabel
  • Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires
  • Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires (en)
skos:notation
  • RIV/67985840:_____/11:00360070!RIV12-AV0-67985840
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP201/10/2315), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 198637
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/11:00360070
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • shape memory alloys; thermomechanics; existence result; blowup in finite time (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [E2D60A3D7B20]
http://linked.open...i/riv/nazevZdroje
  • Mathematics and Mechanics of Solids
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Stefanelli, U.
http://linked.open...ain/vavai/riv/wos
  • 000291587900001
http://linked.open...n/vavai/riv/zamer
issn
  • 1081-2865
number of pages
http://bibframe.org/vocab/doi
  • 10.1177/1081286510386935
is http://linked.open...avai/riv/vysledek of
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