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Description
  • Dvourozměrná rovnice pro příčné vibrace elastoplastické desky je odvozena z obecné trojrozměrné soustavy s von Misesovým tenzorovým modelem plasticity s jedinou mezí tečení v pětirozměrném prostoru deviátorů. Dimenzionální redukce vede na trojrozměrný Prandtlův-Išlinského model s kontinuálním rozložením mezí tečení a explicitně danou váhovou funkcí. Výsledná parciální diferenciální rovnice je řešena pomocí viskózních aproximací a metody monotonie. (cs)
  • A two-dimensional equation for transversal vibrations of an elastoplastic plate is derived from a general three-dimensional system with a single yield tensorial von Mises plasticity model in the five-dimensional deviatoric space. It leads after dimensional reduction to a multiyield three-dimensional Prandtl-Ishlinskii hysteresis model whose weight function is explicitly given. The resulting partial differential equation with hysteresis is solved by means of viscous approximations and a monotonicity argument.
  • A two-dimensional equation for transversal vibrations of an elastoplastic plate is derived from a general three-dimensional system with a single yield tensorial von Mises plasticity model in the five-dimensional deviatoric space. It leads after dimensional reduction to a multiyield three-dimensional Prandtl-Ishlinskii hysteresis model whose weight function is explicitly given. The resulting partial differential equation with hysteresis is solved by means of viscous approximations and a monotonicity argument. (en)
Title
  • Small strain oscillations of an elestoplastic Kirchhoff plate
  • Knitání pružně plastické Kirchhoffovy desky při malých deformacích (cs)
  • Small strain oscillations of an elestoplastic Kirchhoff plate (en)
skos:prefLabel
  • Small strain oscillations of an elestoplastic Kirchhoff plate
  • Knitání pružně plastické Kirchhoffovy desky při malých deformacích (cs)
  • Small strain oscillations of an elestoplastic Kirchhoff plate (en)
skos:notation
  • RIV/67985840:_____/08:00322127!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 395375
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/08:00322127
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Prandtl-Ishlinskii operator; tensorial von Mises plasticity model; viscous approximations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [976512908523]
http://linked.open...i/riv/nazevZdroje
  • ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 88
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Sprekels, J.
  • Guenther, R.
http://linked.open...ain/vavai/riv/wos
  • 000254555100004
http://linked.open...n/vavai/riv/zamer
issn
  • 0044-2267
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