Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours
Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unifi...
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| Autor*in: |
Romano, Giovanni [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Anmerkung: |
© Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Continuum mechanics and thermodynamics - Springer Berlin Heidelberg, 1989, 30(2018), 3 vom: 14. Feb., Seite 641-655 |
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| Übergeordnetes Werk: |
volume:30 ; year:2018 ; number:3 ; day:14 ; month:02 ; pages:641-655 |
| Links: |
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| DOI / URN: |
10.1007/s00161-018-0631-0 |
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| 520 | |a Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. | ||
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10.1007/s00161-018-0631-0 doi (DE-627)OLC2073832970 (DE-He213)s00161-018-0631-0-p DE-627 ger DE-627 rakwb eng 530 VZ Romano, Giovanni verfasserin aut Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. Nonlocal elasticity Nanostructures Distributions Strain-driven model Stress-driven model Boundary effects Limit estimates Luciano, Raimondo aut Barretta, Raffaele (orcid)0000-0002-8535-0581 aut Diaco, Marina aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 30(2018), 3 vom: 14. Feb., Seite 641-655 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:30 year:2018 number:3 day:14 month:02 pages:641-655 https://doi.org/10.1007/s00161-018-0631-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 30 2018 3 14 02 641-655 |
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10.1007/s00161-018-0631-0 doi (DE-627)OLC2073832970 (DE-He213)s00161-018-0631-0-p DE-627 ger DE-627 rakwb eng 530 VZ Romano, Giovanni verfasserin aut Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. Nonlocal elasticity Nanostructures Distributions Strain-driven model Stress-driven model Boundary effects Limit estimates Luciano, Raimondo aut Barretta, Raffaele (orcid)0000-0002-8535-0581 aut Diaco, Marina aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 30(2018), 3 vom: 14. Feb., Seite 641-655 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:30 year:2018 number:3 day:14 month:02 pages:641-655 https://doi.org/10.1007/s00161-018-0631-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 30 2018 3 14 02 641-655 |
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10.1007/s00161-018-0631-0 doi (DE-627)OLC2073832970 (DE-He213)s00161-018-0631-0-p DE-627 ger DE-627 rakwb eng 530 VZ Romano, Giovanni verfasserin aut Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. Nonlocal elasticity Nanostructures Distributions Strain-driven model Stress-driven model Boundary effects Limit estimates Luciano, Raimondo aut Barretta, Raffaele (orcid)0000-0002-8535-0581 aut Diaco, Marina aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 30(2018), 3 vom: 14. Feb., Seite 641-655 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:30 year:2018 number:3 day:14 month:02 pages:641-655 https://doi.org/10.1007/s00161-018-0631-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 30 2018 3 14 02 641-655 |
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10.1007/s00161-018-0631-0 doi (DE-627)OLC2073832970 (DE-He213)s00161-018-0631-0-p DE-627 ger DE-627 rakwb eng 530 VZ Romano, Giovanni verfasserin aut Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. Nonlocal elasticity Nanostructures Distributions Strain-driven model Stress-driven model Boundary effects Limit estimates Luciano, Raimondo aut Barretta, Raffaele (orcid)0000-0002-8535-0581 aut Diaco, Marina aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 30(2018), 3 vom: 14. Feb., Seite 641-655 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:30 year:2018 number:3 day:14 month:02 pages:641-655 https://doi.org/10.1007/s00161-018-0631-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 30 2018 3 14 02 641-655 |
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10.1007/s00161-018-0631-0 doi (DE-627)OLC2073832970 (DE-He213)s00161-018-0631-0-p DE-627 ger DE-627 rakwb eng 530 VZ Romano, Giovanni verfasserin aut Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. Nonlocal elasticity Nanostructures Distributions Strain-driven model Stress-driven model Boundary effects Limit estimates Luciano, Raimondo aut Barretta, Raffaele (orcid)0000-0002-8535-0581 aut Diaco, Marina aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 30(2018), 3 vom: 14. Feb., Seite 641-655 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:30 year:2018 number:3 day:14 month:02 pages:641-655 https://doi.org/10.1007/s00161-018-0631-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 30 2018 3 14 02 641-655 |
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Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours |
| abstract |
Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
| abstractGer |
Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
| abstract_unstemmed |
Abstract Nonlocal elasticity is addressed in terms of integral convolutions for structural models of any dimension, that is bars, beams, plates, shells and 3D continua. A characteristic feature of the treatment is the recourse to the theory of generalised functions (distributions) to provide a unified presentation of previous proposals. Local-nonlocal mixtures are also included in the analysis. Boundary effects of convolutions on bounded domains are investigated, and analytical evaluations are provided in the general case. Methods for compensation of boundary effects are compared and discussed with a comprehensive treatment. Estimates of limit behaviours for extreme values of the nonlocal parameter are shown to give helpful information on model properties, allowing for new comments on previous proposals. Strain-driven and stress-driven models are shown to emerge by swapping the mechanical role of input and output fields in the constitutive convolution, with stress-driven elastic model leading to well-posed problems. Computations of stress-driven nonlocal one-dimensional elastic models are performed to exemplify the theoretical results. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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| title_short |
Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours |
| url |
https://doi.org/10.1007/s00161-018-0631-0 |
| remote_bool |
false |
| author2 |
Luciano, Raimondo Barretta, Raffaele Diaco, Marina |
| author2Str |
Luciano, Raimondo Barretta, Raffaele Diaco, Marina |
| ppnlink |
130799327 |
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| doi_str |
10.1007/s00161-018-0631-0 |
| up_date |
2024-07-03T19:58:30.967Z |
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