Tsakmakis, Charalampos ; Broese, Carsten ; Sideris, Stergios Alexandros (2024)
Dynamics in Explicit Gradient Elasticity: Material Frame-Indifference, Boundary Conditions and Consistent Euler–Bernoulli Beam Theory.
In: Materials, 2024, 17 (8)
doi: 10.26083/tuprints-00027334
Article, Secondary publication, Publisher's Version
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Dynamics in Explicit Gradient Elasticity: Material Frame-Indifference, Boundary Conditions and Consistent Euler–Bernoulli Beam Theory |
| Language: | English |
| Date: | 13 May 2024 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | 11 April 2024 |
| Place of primary publication: | Basel |
| Publisher: | MDPI |
| Journal or Publication Title: | Materials |
| Volume of the journal: | 17 |
| Issue Number: | 8 |
| Collation: | 33 Seiten |
| DOI: | 10.26083/tuprints-00027334 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| Abstract: | The paper is concerned with the boundary conditions of explicit gradient elasticity of Mindlin’s type in dynamics. It has been argued in an earlier paper that acceleration terms should not be present in the boundary tractions because of objectivity arguments. This is discussed in the present paper in more detail, and it is supplemented by assuming the validity of the principle of material frame indifference. Furthermore, new examples are discussed in order to illustrate that significant differences exist in the responses predicted by boundary tractions with and without acceleration terms. |
| Uncontrolled Keywords: | Mindlin’s gradient elasticity, extensions of Hamilton’s principle, boundary conditions, material frame-indifference, acceleration terms, consistent Euler–Bernoulli beam theory |
| Identification Number: | Artikel-ID: 1760 |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-273344 |
| Additional Information: | This article belongs to the Special Issue Computational Modelling and Design of Novel Engineering Materials (Second Edition) |
| Classification DDC: | 600 Technology, medicine, applied sciences > 624 Civil engineering and environmental protection engineering |
| Divisions: | 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics |
| Date Deposited: | 13 May 2024 12:58 |
| Last Modified: | 12 Sep 2024 06:25 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/27334 |
| PPN: | 521332591 |
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