Matematický model pseudointeraktivní soustavy: 1D těleso na nelineárním podloží - I. Teoretické aspekty

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004906" target="_blank" >RIV/61989592:15310/07:00004906 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical Model of Pseudointeractive set: 1D Body on Non-linear Subsoil - I. Theoretical Aspects

Popis výsledku v původním jazyce

Mathematical model of pseudointeractive set of an elastic body (beam, plate) and subsoil for a special class of linear and non-linear response functions has been introduced. Brief review of the fundamental mathematical apparatus used for the analysis ofthe resulting non-linear boundary-value problem has been given and discussed. Some of the typical statements concerning solvability of the model problem having form of linear and non-linear coercive and semi-coercive variational equation or inequality have been formulated, including sketches and remarks to their proofs. The emphasis has been focused on the semi-coercive case representing the typical problem of a free (unattached) body lying on a 'unilateral' subsoil defined by non-linear response function. Extra conditions of solvability have been formulated in the semi-coercive cases. The decomposition of Sobolev function space of kinematically admissible displacements into a cone of rigid displacement and its negative polar cone of di

Název v anglickém jazyce

Mathematical Model of Pseudointeractive set: 1D Body on Non-linear Subsoil - I. Theoretical Aspects

Popis výsledku anglicky

Mathematical model of pseudointeractive set of an elastic body (beam, plate) and subsoil for a special class of linear and non-linear response functions has been introduced. Brief review of the fundamental mathematical apparatus used for the analysis ofthe resulting non-linear boundary-value problem has been given and discussed. Some of the typical statements concerning solvability of the model problem having form of linear and non-linear coercive and semi-coercive variational equation or inequality have been formulated, including sketches and remarks to their proofs. The emphasis has been focused on the semi-coercive case representing the typical problem of a free (unattached) body lying on a 'unilateral' subsoil defined by non-linear response function. Extra conditions of solvability have been formulated in the semi-coercive cases. The decomposition of Sobolev function space of kinematically admissible displacements into a cone of rigid displacement and its negative polar cone of di

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2007

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Engineering Mechanics

ISSN

1802-1484

e-ISSN

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Svazek periodika

14

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

15

Strana od-do

311-325

Kód UT WoS článku

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EID výsledku v databázi Scopus

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