Analysis of Berger nonlinear elastic static plate bending of rectangular plates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73621385" target="_blank" >RIV/61989592:15310/23:73621385 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.sagepub.com/doi/epub/10.1177/10812865231160245" target="_blank" >https://journals.sagepub.com/doi/epub/10.1177/10812865231160245</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/10812865231160245" target="_blank" >10.1177/10812865231160245</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analysis of Berger nonlinear elastic static plate bending of rectangular plates

Popis výsledku v původním jazyce

This paper deals with a nonlinear static plate model based on Berger theory, which is a specific case of a generalization of the Woinowsky-Krieger mathematical model of beam bending. It is considered a plate bending with forces acting in the middle plane of the plate and a contact problem with an elastic foundation, where the normal compliance condition is employed. A variational equation of the problem and a functional of the total potential energy corresponding to the variational equation are derived. Under additional assumptions on the data (e.g., clamped plate), the existence and uniqueness of the solution are proved. A numerical solution is based on the Galerkin method and Courant approximation. The theory is illustrated by a numerical example.

Název v anglickém jazyce

Analysis of Berger nonlinear elastic static plate bending of rectangular plates

Popis výsledku anglicky

This paper deals with a nonlinear static plate model based on Berger theory, which is a specific case of a generalization of the Woinowsky-Krieger mathematical model of beam bending. It is considered a plate bending with forces acting in the middle plane of the plate and a contact problem with an elastic foundation, where the normal compliance condition is employed. A variational equation of the problem and a functional of the total potential energy corresponding to the variational equation are derived. Under additional assumptions on the data (e.g., clamped plate), the existence and uniqueness of the solution are proved. A numerical solution is based on the Galerkin method and Courant approximation. The theory is illustrated by a numerical example.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

MATHEMATICS AND MECHANICS OF SOLIDS

ISSN

1081-2865

e-ISSN

1741-3028

Svazek periodika

28

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

33

Strana od-do

2458-2490

Kód UT WoS článku

000985972800001

EID výsledku v databázi Scopus

2-s2.0-85159110849