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Description
  • Vypočteme exaktní horní mez pro velikost koeficientu tření zajišťující existenci řešení statické kontaktní úlohy s coulombovským třením. Přístup je založen na obecném existenčním výsledku platném za předpokladu, že koeficient tření je omezen jistou konstantou závislosti na dvou speciálních odhadech pro poloprostor. Tyto konstanty počítáme pro ortotropní materiál ve dvourozměrném prostoru za pomoci parciální Fourierovy transformace řešení příslušného Lamého systému. Nová mez pro ortotropní materiál je významně větší než stará používaná pro obecný materiál, je-li materiál blízký izotropnímu s kladnou Poissonovou konstantou. Pro jisté případy nová mez může výrazně překročit jedničku. (cs)
  • We calculate an exact upper bound for the magnitude of the coefficient of friction that ensures the existence of a solution to a static contact problem with Coulomb friction. The approach is based on a general existence result that is valid under the assumption that the coefficient of friction is bounded by a certain constant depending on the constants in two special trace type estimates for a half space domain. We calculate these constants for orthotropic material and two space dimensions with the help of a representation for a partial Fourier transform of the solution to the corresponding system of elasticity equations. The results is compared to the formula for general anisotropic material. The new bound for orthotropic material is significantly larger than the old one for general material, if the material is close to an isotropic material with Poisson ration greater than zero. For some cases the new bound can be even larger than one.
  • We calculate an exact upper bound for the magnitude of the coefficient of friction that ensures the existence of a solution to a static contact problem with Coulomb friction. The approach is based on a general existence result that is valid under the assumption that the coefficient of friction is bounded by a certain constant depending on the constants in two special trace type estimates for a half space domain. We calculate these constants for orthotropic material and two space dimensions with the help of a representation for a partial Fourier transform of the solution to the corresponding system of elasticity equations. The results is compared to the formula for general anisotropic material. The new bound for orthotropic material is significantly larger than the old one for general material, if the material is close to an isotropic material with Poisson ration greater than zero. For some cases the new bound can be even larger than one. (en)
Title
  • Solvability of Static Contact Problems with Coulomb Friction for Orthotropic Material
  • Řešitelnost statické kontaktní úlohy s coulombovským třením pro ortotropní materiál (cs)
  • Solvability of Static Contact Problems with Coulomb Friction for Orthotropic Material (en)
skos:prefLabel
  • Solvability of Static Contact Problems with Coulomb Friction for Orthotropic Material
  • Řešitelnost statické kontaktní úlohy s coulombovským třením pro ortotropní materiál (cs)
  • Solvability of Static Contact Problems with Coulomb Friction for Orthotropic Material (en)
skos:notation
  • RIV/67985840:_____/08:00311091!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1075402), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 395841
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/08:00311091
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • contact problem; Coulomb friction; orthotropic elasticity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E6201BA2F679]
http://linked.open...i/riv/nazevZdroje
  • Journal of Elasticity
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 93
http://linked.open...iv/tvurceVysledku
  • Jarušek, Jiří
  • Eck, C.
http://linked.open...ain/vavai/riv/wos
  • 000258656200006
http://linked.open...n/vavai/riv/zamer
issn
  • 0374-3535
number of pages
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