About: Existence and non-existence for the full thermomechanical Souza

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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (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	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP201/10/2315), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Krejčí, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	198637
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00360070
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	shape memory alloys; thermomechanics; existence result; blowup in finite time (en)
http://linked.open.../riv/klicoveSlovo	thermomechanics blowup in finite time existence result shape memory alloys
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	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematické modelování procesů v hysterézních materiálech
http://linked.open...UplatneniVysledku	2011
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	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	1081-2865
number of pages	17 (xsd:int)
http://bibframe.org/vocab/doi	10.1177/1081286510386935
is http://linked.open...avai/riv/vysledek of	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

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