Alber, Hans-Dieter ; Broese, Carsten ; Tsakmakis, Charalampos ; Beskos, Dimitri (2018)
Non-Conventional Thermodynamics and Models of Gradient Elasticity.
In: Entropy, 20 (3)
doi: 10.3390/e20030179
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange derivative of the free energy with respect to the strain. The present paper aims at developing a first version of gradient elasticity of non-Toupin–Mindlin’s type, i.e., a theory employing Cauchy stress tensors, which are not necessarily expressed as Euler–Lagrange derivatives. This is accomplished in the framework of non-conventional thermodynamics. A one-dimensional boundary value problem is solved in detail in order to illustrate the differences of the present theory with Toupin–Mindlin’s gradient elasticity theory.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2018 |
| Autor(en): | Alber, Hans-Dieter ; Broese, Carsten ; Tsakmakis, Charalampos ; Beskos, Dimitri |
| Art des Eintrags: | Bibliographie |
| Titel: | Non-Conventional Thermodynamics and Models of Gradient Elasticity |
| Sprache: | Englisch |
| Publikationsjahr: | 2018 |
| Verlag: | MDPI |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Entropy |
| Jahrgang/Volume einer Zeitschrift: | 20 |
| (Heft-)Nummer: | 3 |
| DOI: | 10.3390/e20030179 |
| URL / URN: | https://doi.org/10.3390/e20030179 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange derivative of the free energy with respect to the strain. The present paper aims at developing a first version of gradient elasticity of non-Toupin–Mindlin’s type, i.e., a theory employing Cauchy stress tensors, which are not necessarily expressed as Euler–Lagrange derivatives. This is accomplished in the framework of non-conventional thermodynamics. A one-dimensional boundary value problem is solved in detail in order to illustrate the differences of the present theory with Toupin–Mindlin’s gradient elasticity theory. |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik |
| 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: | 02 Aug 2024 12:33 |
| Letzte Änderung: | 02 Aug 2024 12:33 |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
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Non-Conventional Thermodynamics and Models of Gradient Elasticity. (deposited 18 Mär 2018 20:55)
- Non-Conventional Thermodynamics and Models of Gradient Elasticity. (deposited 02 Aug 2024 12:33) [Gegenwärtig angezeigt]
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