On smoothness of solutions to structural problems and physical interpretation of weak formulation

On smoothness of solutions to structural problems and physical interpretation of weak formulation

Typical structural modelling solutions are classified and described in the paper based on an approach that is more interpretative than formal. A special emphasis is placed on weak formulation and its physical interpretation which, in the authors’ opinion, is lacking in the literature. The attention...

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Main Authors: Josip Dvornik, Krešimir Fresl, Damir Lazarević, Antonia Jaguljnjak Lazarević
Format: Article
Language:English
Published: Croatian Association of Civil Engineers 2019-03-01
Series:Građevinar
Online Access:https://doi.org/10.14256/JCE.2583.2018
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spelling doaj-0a603e46b43d4efdb2dbefed93f24f5d2020-11-25T02:40:48ZengCroatian Association of Civil EngineersGrađevinar0350-24651333-90952019-03-017103.18719510.14256/JCE.2583.2018218245On smoothness of solutions to structural problems and physical interpretation of weak formulationJosip Dvornik0Krešimir Fresl1Damir Lazarević2Antonia Jaguljnjak Lazarević3Sveučilište u Zagrebu, Građevinski fakultetSveučilište u Zagrebu, Građevinski fakultetSveučilište u Zagrebu, Građevinski fakultetSveučilište u Zagrebu, Rudarsko-geološko-naftni fakultetTypical structural modelling solutions are classified and described in the paper based on an approach that is more interpretative than formal. A special emphasis is placed on weak formulation and its physical interpretation which, in the authors’ opinion, is lacking in the literature. The attention is also drawn to approximation mistakes, caused by insisting on excessive smoothness of solutions. These considerations are backed by examples. It is hoped that the paper will contribute to understanding the essence of approximation of practical models in civil engineering, while clearly pointing to the power of weak formulation - the foundation of approximation procedures.https://doi.org/10.14256/JCE.2583.2018
collection DOAJ
language English
format Article
sources DOAJ
author Josip Dvornik
Krešimir Fresl
Damir Lazarević
Antonia Jaguljnjak Lazarević
spellingShingle Josip Dvornik
Krešimir Fresl
Damir Lazarević
Antonia Jaguljnjak Lazarević
On smoothness of solutions to structural problems and physical interpretation of weak formulation
Građevinar
author_facet Josip Dvornik
Krešimir Fresl
Damir Lazarević
Antonia Jaguljnjak Lazarević
author_sort Josip Dvornik
title On smoothness of solutions to structural problems and physical interpretation of weak formulation
title_short On smoothness of solutions to structural problems and physical interpretation of weak formulation
title_full On smoothness of solutions to structural problems and physical interpretation of weak formulation
title_fullStr On smoothness of solutions to structural problems and physical interpretation of weak formulation
title_full_unstemmed On smoothness of solutions to structural problems and physical interpretation of weak formulation
title_sort on smoothness of solutions to structural problems and physical interpretation of weak formulation
publisher Croatian Association of Civil Engineers
series Građevinar
issn 0350-2465
1333-9095
publishDate 2019-03-01
description Typical structural modelling solutions are classified and described in the paper based on an approach that is more interpretative than formal. A special emphasis is placed on weak formulation and its physical interpretation which, in the authors’ opinion, is lacking in the literature. The attention is also drawn to approximation mistakes, caused by insisting on excessive smoothness of solutions. These considerations are backed by examples. It is hoped that the paper will contribute to understanding the essence of approximation of practical models in civil engineering, while clearly pointing to the power of weak formulation - the foundation of approximation procedures.
url https://doi.org/10.14256/JCE.2583.2018
work_keys_str_mv AT josipdvornik onsmoothnessofsolutionstostructuralproblemsandphysicalinterpretationofweakformulation
AT kresimirfresl onsmoothnessofsolutionstostructuralproblemsandphysicalinterpretationofweakformulation
AT damirlazarevic onsmoothnessofsolutionstostructuralproblemsandphysicalinterpretationofweakformulation
AT antoniajaguljnjaklazarevic onsmoothnessofsolutionstostructuralproblemsandphysicalinterpretationofweakformulation
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