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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F10%3A00167269%21RIV11-GA0-21110___
rdf:type
skos:Concept n15:Vysledek
dcterms:description
Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential expression. This paper presents analytical solutions of the one-dimensional localization problem under certain special nonuniform stress distributions. The one-dimensional problem can be interpreted as describing either a tensile bar with a variable cross section or a beam subjected to a nonuniform bending moment. Explicit as well as implicit gradient formulations are considered. The evolution of the plastic strain profile and the shape of the load-displacement diagram are investigated. It is shown that even if the local constitutive law exhibits softening right from the onset of yielding, the global load-displacement diagram has a hardening part. The interplay between the internal length scales characterizing the material and the geometry is discussed. Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential expression. This paper presents analytical solutions of the one-dimensional localization problem under certain special nonuniform stress distributions. The one-dimensional problem can be interpreted as describing either a tensile bar with a variable cross section or a beam subjected to a nonuniform bending moment. Explicit as well as implicit gradient formulations are considered. The evolution of the plastic strain profile and the shape of the load-displacement diagram are investigated. It is shown that even if the local constitutive law exhibits softening right from the onset of yielding, the global load-displacement diagram has a hardening part. The interplay between the internal length scales characterizing the material and the geometry is discussed.
dcterms:title
Softening Gradient Plasticity: Analytical Study of Localization Under Nonuniform Stress Softening Gradient Plasticity: Analytical Study of Localization Under Nonuniform Stress
skos:prefLabel
Softening Gradient Plasticity: Analytical Study of Localization Under Nonuniform Stress Softening Gradient Plasticity: Analytical Study of Localization Under Nonuniform Stress
skos:notation
RIV/68407700:21110/10:00167269!RIV11-GA0-21110___
n3:aktivita
n17:P n17:Z
n3:aktivity
P(GA106/08/1508), Z(MSM6840770003)
n3:cisloPeriodika
1
n3:dodaniDat
n12:2011
n3:domaciTvurceVysledku
n16:9932003 n16:4695046 n16:8216118
n3:druhVysledku
n14:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
288235
n3:idVysledku
RIV/68407700:21110/10:00167269
n3:jazykVysledku
n9:eng
n3:klicovaSlova
plasticity; regularization; gradient theories; strain softening; strain localization
n3:klicoveSlovo
n10:strain%20localization n10:gradient%20theories n10:regularization n10:plasticity n10:strain%20softening
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[D34E2341CDB0]
n3:nazevZdroje
International Journal for Multiscale Computational Engineering
n3:obor
n8:JN
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:projekt
n5:GA106%2F08%2F1508
n3:rokUplatneniVysledku
n12:2010
n3:svazekPeriodika
8
n3:tvurceVysledku
Vondřejc, Jaroslav Jirásek, Milan Zeman, Jan
n3:wos
000275277600004
n3:zamer
n19:MSM6840770003
s:issn
1543-1649
s:numberOfPages
24
n13:organizacniJednotka
21110