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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00360070%21RIV12-AV0-67985840
rdf:type
n10:Vysledek skos:Concept
dcterms:description
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.
dcterms: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
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
skos:notation
RIV/67985840:_____/11:00360070!RIV12-AV0-67985840
n10:predkladatel
n17:ico%3A67985840
n3:aktivita
n13:P n13:Z
n3:aktivity
P(GAP201/10/2315), Z(AV0Z10190503)
n3:cisloPeriodika
4
n3:dodaniDat
n11:2012
n3:domaciTvurceVysledku
n19:6410847
n3:druhVysledku
n14:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n20:predkladatel
n3:idSjednocenehoVysledku
198637
n3:idVysledku
RIV/67985840:_____/11:00360070
n3:jazykVysledku
n8:eng
n3:klicovaSlova
shape memory alloys; thermomechanics; existence result; blowup in finite time
n3:klicoveSlovo
n7:shape%20memory%20alloys n7:existence%20result n7:thermomechanics n7:blowup%20in%20finite%20time
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[E2D60A3D7B20]
n3:nazevZdroje
Mathematics and Mechanics of Solids
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n16:GAP201%2F10%2F2315
n3:rokUplatneniVysledku
n11:2011
n3:svazekPeriodika
16
n3:tvurceVysledku
Stefanelli, U. Krejčí, Pavel
n3:wos
000291587900001
n3:zamer
n5:AV0Z10190503
s:issn
1081-2865
s:numberOfPages
17
n12:doi
10.1177/1081286510386935