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Solution of contact problems for Gao beam and elastic foundation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73587509" target="_blank" >RIV/61989592:15310/18:73587509 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1177/1081286517732382" target="_blank" >http://dx.doi.org/10.1177/1081286517732382</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1177/1081286517732382" target="_blank" >10.1177/1081286517732382</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Solution of contact problems for Gao beam and elastic foundation

  • Original language description

    This paper presents mathematical formulations and a solution for contact problems that concern the nonlinear beam published by Gao (Nonlinear elastic beam theory with application in contact problems and variational approaches, Mech Res Commun 1996; 23: 11-17) and an elastic foundation. The beam is subjected to a vertical and also axial loading. The elastic deformable foundation is considered at a distance under the beam. The contact is modeled as static, frictionless and using the normal compliance contact condition. In comparison with the usual contact problem formulations, which are based on variational inequalities, we are able to derive for our problem a nonlinear variational equation. Solution of this problem is realized by means of the so-called control variational method. The main idea of this method is to transform the given contact problem to an optimal control problem, which can provide the requested solution. Finally, some results including numerical examples are offered to illustrate the usefulness of the presented solution method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    MATHEMATICS AND MECHANICS OF SOLIDS

  • ISSN

    1081-2865

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    15

  • Pages from-to

    473-488

  • UT code for WoS article

    000429895300015

  • EID of the result in the Scopus database

    2-s2.0-85044132035