Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach
The aim of the present work is to extend the two-phase local/nonlocal stress-driven integral model (SDM) to the case of nanobeams with internal discontinuities: as a matter of fact, the original formulation avoids the presence of any discontinuities. Consequently, here, for the first time, the probl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/11/10/2651 |
| _version_ | 1797513594455195648 |
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| author | Daniela Scorza Sabrina Vantadori Raimondo Luciano |
| author_facet | Daniela Scorza Sabrina Vantadori Raimondo Luciano |
| author_sort | Daniela Scorza |
| collection | DOAJ |
| description | The aim of the present work is to extend the two-phase local/nonlocal stress-driven integral model (SDM) to the case of nanobeams with internal discontinuities: as a matter of fact, the original formulation avoids the presence of any discontinuities. Consequently, here, for the first time, the problem of an internal discontinuity is addressed by using a convex combination of both local and nonlocal phases of the model by introducing a mixture parameter. The novel formulation here proposed was validated by considering six case studies involving different uncracked nanobeams by varying the constrains and the loading configurations, and the effect of nonlocality on the displacement field is discussed. Moreover, a centrally-cracked nanobeam, subjected to concentrated forces at the crack half-length, was studied. The size-dependent Mode I fracture behaviour of the cracked nanobeam was analysed in terms of crack opening displacement, energy release rate, and stress intensity factor, showing the strong dependency of the above fracture properties on both dimensionless characteristic length and mixture parameter values. |
| first_indexed | 2024-03-10T06:18:47Z |
| format | Article |
| id | doaj.art-05c90f97759b402ab057600028db66fe |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T06:18:47Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-05c90f97759b402ab057600028db66fe2023-11-22T19:24:36ZengMDPI AGNanomaterials2079-49912021-10-011110265110.3390/nano11102651Nanobeams with Internal Discontinuities: A Local/Nonlocal ApproachDaniela Scorza0Sabrina Vantadori1Raimondo Luciano2Department of Engineering, University of Naples Parthenope, Centro Direzionale Isola C4, 80143 Naples, ItalyDepartment of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, ItalyDepartment of Engineering, University of Naples Parthenope, Centro Direzionale Isola C4, 80143 Naples, ItalyThe aim of the present work is to extend the two-phase local/nonlocal stress-driven integral model (SDM) to the case of nanobeams with internal discontinuities: as a matter of fact, the original formulation avoids the presence of any discontinuities. Consequently, here, for the first time, the problem of an internal discontinuity is addressed by using a convex combination of both local and nonlocal phases of the model by introducing a mixture parameter. The novel formulation here proposed was validated by considering six case studies involving different uncracked nanobeams by varying the constrains and the loading configurations, and the effect of nonlocality on the displacement field is discussed. Moreover, a centrally-cracked nanobeam, subjected to concentrated forces at the crack half-length, was studied. The size-dependent Mode I fracture behaviour of the cracked nanobeam was analysed in terms of crack opening displacement, energy release rate, and stress intensity factor, showing the strong dependency of the above fracture properties on both dimensionless characteristic length and mixture parameter values.https://www.mdpi.com/2079-4991/11/10/2651energy release rateinternal discontinuitymixture parameternanobeamstress-driven integral modelstress intensity factor |
| spellingShingle | Daniela Scorza Sabrina Vantadori Raimondo Luciano Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach Nanomaterials energy release rate internal discontinuity mixture parameter nanobeam stress-driven integral model stress intensity factor |
| title | Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach |
| title_full | Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach |
| title_fullStr | Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach |
| title_full_unstemmed | Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach |
| title_short | Nanobeams with Internal Discontinuities: A Local/Nonlocal Approach |
| title_sort | nanobeams with internal discontinuities a local nonlocal approach |
| topic | energy release rate internal discontinuity mixture parameter nanobeam stress-driven integral model stress intensity factor |
| url | https://www.mdpi.com/2079-4991/11/10/2651 |
| work_keys_str_mv | AT danielascorza nanobeamswithinternaldiscontinuitiesalocalnonlocalapproach AT sabrinavantadori nanobeamswithinternaldiscontinuitiesalocalnonlocalapproach AT raimondoluciano nanobeamswithinternaldiscontinuitiesalocalnonlocalapproach |