Broese, Carsten ; Tsakmakis, Charalampos ; Üngör, Özer (2025)
Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain.
In: Mathematics and Mechanics of Solids, 2024, 29 (1)
doi: 10.26083/tuprints-00027141
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
The Euler–Bernoulli beam bending theory in engineering mechanics assumes that the material behavior is isotropic elastic and that plane cross sections remain plane and rigid. It is well-known that this theory suffers from inconsistencies that, e.g., the shear strain is always vanishing, whereas the shear stress does not vanish. In recent work, consistent Euler–Bernoulli beam theories in classical and explicit gradient elasticities were accomplished by assuming the constitutive response to be anisotropic elastic, subject to internal constraints. This approach is extended in the present paper to get consistent Euler–Bernoulli beam theory for gradient elasticity based on Laplacians of stress and strain. The developed beam theory is employed to discuss bending of cantilever beams.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2025 |
| Autor(en): | Broese, Carsten ; Tsakmakis, Charalampos ; Üngör, Özer |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain |
| Sprache: | Englisch |
| Publikationsjahr: | 1 Februar 2025 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | Januar 2024 |
| Ort der Erstveröffentlichung: | Thousand Oaks, California, USA |
| Verlag: | SAGE Publications |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Mathematics and Mechanics of Solids |
| Jahrgang/Volume einer Zeitschrift: | 29 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.26083/tuprints-00027141 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/27141 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | The Euler–Bernoulli beam bending theory in engineering mechanics assumes that the material behavior is isotropic elastic and that plane cross sections remain plane and rigid. It is well-known that this theory suffers from inconsistencies that, e.g., the shear strain is always vanishing, whereas the shear stress does not vanish. In recent work, consistent Euler–Bernoulli beam theories in classical and explicit gradient elasticities were accomplished by assuming the constitutive response to be anisotropic elastic, subject to internal constraints. This approach is extended in the present paper to get consistent Euler–Bernoulli beam theory for gradient elasticity based on Laplacians of stress and strain. The developed beam theory is employed to discuss bending of cantilever beams. |
| Freie Schlagworte: | Consistent Euler–Bernoulli beam theory, implicit gradient elasticity, constitutive law based on Laplacians of stress and strain, bending of cantilever beam, limiting responses |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-271412 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau 600 Technik, Medizin, angewandte Wissenschaften > 624 Ingenieurbau und Umwelttechnik |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 30 Sep 2024 12:14 |
| Letzte Änderung: | 01 Okt 2024 06:09 |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
- Consistent Euler–Bernoulli beam theory in statics for gradient elasticity based on Laplacians of stress and strain. (deposited 30 Sep 2024 12:14) [Gegenwärtig angezeigt]
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