Size-dependent and microinertia effects on statics and dynamics based on the modified couple stress theory with arbitrary boundary conditions.
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| Title: | Size-dependent and microinertia effects on statics and dynamics based on the modified couple stress theory with arbitrary boundary conditions. |
|---|---|
| Authors: | Yang, Zuokun1 (AUTHOR), Zhou, Fuqi1 (AUTHOR), Chu, Liangliang1,2 (AUTHOR) chull_620@whut.edu.cn, Dui, Guansuo3 (AUTHOR) |
| Source: | Acta Mechanica. Apr2024, Vol. 235 Issue 4, p2305-2321. 17p. |
| Subjects: | Strains & stresses (Mechanics), Statics, Mechanical loads, Free vibration, Inertia (Mechanics), Stress waves |
| Abstract: | In this work, we discuss size-dependent and microinertia effects on the static and dynamic performances of a microscale model based on the microinertia-based modified couple stress theory, a non-classical continuum theory capable of capturing the behavior of size dependence and frequency dispersion characteristics. In the framework of the variational statement, a microscale structure model is developed and the governing equations of equilibrium as well as all boundary conditions for statics and dynamics are reformulated. The developed theory is imposed to tackle microstructure-dependent Timoshenko beam model in two distinct scale parameters: the material length scale parameter is utilized to determine the size dependence and the microinertia length scale parameter is employed to describe the higher-order microrotation relation. The generally valid closed-form analytic expressions are obtained and suitable for various formats of boundaries and mechanical loads. As case studies, the predicted trends agree with those observed within the framework of the modified couple stress theory. Results indicate that the material microlength scale parameter strengthens the static deformations, while the microinertia length scale parameter weakens the dynamic frequencies. In addition, boundary conditions are also an important aspect in statics and dynamics as well as the mechanical response predicted by non-classical continuum theories. [ABSTRACT FROM AUTHOR] |
| Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 176757782 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Size-dependent and microinertia effects on statics and dynamics based on the modified couple stress theory with arbitrary boundary conditions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yang%2C+Zuokun%22">Yang, Zuokun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhou%2C+Fuqi%22">Zhou, Fuqi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chu%2C+Liangliang%22">Chu, Liangliang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> chull_620@whut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Dui%2C+Guansuo%22">Dui, Guansuo</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Apr2024, Vol. 235 Issue 4, p2305-2321. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Statics%22">Statics</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+loads%22">Mechanical loads</searchLink><br /><searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Inertia+%28Mechanics%29%22">Inertia (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+waves%22">Stress waves</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, we discuss size-dependent and microinertia effects on the static and dynamic performances of a microscale model based on the microinertia-based modified couple stress theory, a non-classical continuum theory capable of capturing the behavior of size dependence and frequency dispersion characteristics. In the framework of the variational statement, a microscale structure model is developed and the governing equations of equilibrium as well as all boundary conditions for statics and dynamics are reformulated. The developed theory is imposed to tackle microstructure-dependent Timoshenko beam model in two distinct scale parameters: the material length scale parameter is utilized to determine the size dependence and the microinertia length scale parameter is employed to describe the higher-order microrotation relation. The generally valid closed-form analytic expressions are obtained and suitable for various formats of boundaries and mechanical loads. As case studies, the predicted trends agree with those observed within the framework of the modified couple stress theory. Results indicate that the material microlength scale parameter strengthens the static deformations, while the microinertia length scale parameter weakens the dynamic frequencies. In addition, boundary conditions are also an important aspect in statics and dynamics as well as the mechanical response predicted by non-classical continuum theories. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00707-023-03836-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 2305 Subjects: – SubjectFull: Strains & stresses (Mechanics) Type: general – SubjectFull: Statics Type: general – SubjectFull: Mechanical loads Type: general – SubjectFull: Free vibration Type: general – SubjectFull: Inertia (Mechanics) Type: general – SubjectFull: Stress waves Type: general Titles: – TitleFull: Size-dependent and microinertia effects on statics and dynamics based on the modified couple stress theory with arbitrary boundary conditions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yang, Zuokun – PersonEntity: Name: NameFull: Zhou, Fuqi – PersonEntity: Name: NameFull: Chu, Liangliang – PersonEntity: Name: NameFull: Dui, Guansuo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00015970 Numbering: – Type: volume Value: 235 – Type: issue Value: 4 Titles: – TitleFull: Acta Mechanica Type: main |
| ResultId | 1 |
