Sideris, Stergios - Alexandros (2021)
Static and Dynamic Analysis of a Simple Model of Explicit Gradient Elasticity.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00019203
Ph.D. Thesis, Primary publication, Publisher's Version
Abstract
Gradient elasticity has developed into an important area of continuum mechanics with numerous applications in engineering mechanics, structural analysis, experimental and computational mechanics. The present thesis is concerned with a simple model of explicit gradient elasticity. The aim is to provide a comprehensive insight into the basic properties of this model, by solving several problems in statics and dynamics. The problems include one - dimensional and two - dimensional (bending) loading conditions. Especially, use is made of a consistent Euler - Bernoulli beam theory and of different versions of Hamilton's principle. Moreover, a method is presented for determining the critical load in buckling problems. The investigations highlight, among others, the effect of non - classical boundary conditions and of non - classical material parameters.
| Item Type: | Ph.D. Thesis | ||||
|---|---|---|---|---|---|
| Erschienen: | 2021 | ||||
| Creators: | Sideris, Stergios - Alexandros | ||||
| Type of entry: | Primary publication | ||||
| Title: | Static and Dynamic Analysis of a Simple Model of Explicit Gradient Elasticity | ||||
| Language: | English | ||||
| Referees: | Tsakmakis, Prof. Dr. Charalampos ; Sadiki, Prof. Dr. Amsini | ||||
| Date: | 2021 | ||||
| Place of Publication: | Darmstadt | ||||
| Collation: | v, 105 Seiten | ||||
| Refereed: | 1 July 2021 | ||||
| DOI: | 10.26083/tuprints-00019203 | ||||
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19203 | ||||
| Abstract: | Gradient elasticity has developed into an important area of continuum mechanics with numerous applications in engineering mechanics, structural analysis, experimental and computational mechanics. The present thesis is concerned with a simple model of explicit gradient elasticity. The aim is to provide a comprehensive insight into the basic properties of this model, by solving several problems in statics and dynamics. The problems include one - dimensional and two - dimensional (bending) loading conditions. Especially, use is made of a consistent Euler - Bernoulli beam theory and of different versions of Hamilton's principle. Moreover, a method is presented for determining the critical load in buckling problems. The investigations highlight, among others, the effect of non - classical boundary conditions and of non - classical material parameters. |
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| Status: | Publisher's Version | ||||
| URN: | urn:nbn:de:tuda-tuprints-192038 | ||||
| Classification DDC: | 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering | ||||
| Divisions: | 13 Department of Civil and Environmental Engineering Sciences 13 Department of Civil and Environmental Engineering Sciences > Mechanics 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics |
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| Date Deposited: | 26 Jul 2021 08:51 | ||||
| Last Modified: | 03 Aug 2021 06:01 | ||||
| PPN: | |||||
| Referees: | Tsakmakis, Prof. Dr. Charalampos ; Sadiki, Prof. Dr. Amsini | ||||
| Refereed / Verteidigung / mdl. Prüfung: | 1 July 2021 | ||||
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| Suche nach Titel in: | TUfind oder in Google | ||||
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