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Description
  • The paper presents analytical or semi-analytical solutions for the formation and evolution of localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. A variationally based formulation of explicit gradient plasticity with linear softening is used, and the ensuing jump conditions and boundary conditions are discussed. Three cases with different regularity of the stress distribution are considered, and the problem is converted to a dimensionless form. Relations linking the load level, size of the plastic zone, distribution of plastic strain and plastic elongation of the bar are derived and compared to another, previously analyzed gradient formulation.
  • The paper presents analytical or semi-analytical solutions for the formation and evolution of localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. A variationally based formulation of explicit gradient plasticity with linear softening is used, and the ensuing jump conditions and boundary conditions are discussed. Three cases with different regularity of the stress distribution are considered, and the problem is converted to a dimensionless form. Relations linking the load level, size of the plastic zone, distribution of plastic strain and plastic elongation of the bar are derived and compared to another, previously analyzed gradient formulation. (en)
Title
  • Localization Analysis of Variationally Based Gradient Plasticity Model
  • Localization Analysis of Variationally Based Gradient Plasticity Model (en)
skos:prefLabel
  • Localization Analysis of Variationally Based Gradient Plasticity Model
  • Localization Analysis of Variationally Based Gradient Plasticity Model (en)
skos:notation
  • RIV/68407700:21110/13:00199044!RIV14-GA0-21110___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/08/1508), P(GAP108/11/1243), P(GAP201/10/0357)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 85269
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21110/13:00199044
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Plasticity; Softening; Localization; Regularization; Variational formulation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [62BEAA84A99F]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Solids and Structures
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 50
http://linked.open...iv/tvurceVysledku
  • Jirásek, Milan
  • Zeman, Jan
  • Rokoš, Ondřej
http://linked.open...ain/vavai/riv/wos
  • 000311598800023
issn
  • 0020-7683
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.ijsolstr.2012.09.022
http://localhost/t...ganizacniJednotka
  • 21110
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