Assorted Remarks on Bending Measures and Energies for Plates and Shells, and Their Invariance Properties.
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| Title: | Assorted Remarks on Bending Measures and Energies for Plates and Shells, and Their Invariance Properties. |
|---|---|
| Authors: | Hanna, J. A.1 (AUTHOR) jhanna@unr.edu, Vitral, E.2 (AUTHOR) vitralfr@rose-hulman.edu |
| Source: | Journal of Elasticity. Feb2025, Vol. 157 Issue 1, p1-10. 10p. |
| Abstract: | In this note, we address several issues, including some raised in recent works and commentary, related to bending measures and energies for plates and shells, and certain of their invariance properties. We discuss overlaps and distinctions in results arising from two different definitions of stretching, correct an error and citation oversights in our prior work, reiterate some of the early history of dilation-invariant bending measures, and provide additional brief observations regarding the relative size of energetic terms and the symmetrization of bending measures. A particular point of emphasis is the distinction between dilation-invariant measures and a recently introduced non-dilation-invariant measure for shells and curved rods. In the course of this discussion, we provide a simpler presentation of the elementary, but much neglected, fact that the through-thickness derivative of tangential stretch of material near the mid-surface of a thin body is the product of the mid-surface stretch and change in curvature. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Elasticity 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 182316042 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Assorted Remarks on Bending Measures and Energies for Plates and Shells, and Their Invariance Properties. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hanna%2C+J%2E+A%2E%22">Hanna, J. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jhanna@unr.edu</i><br /><searchLink fieldCode="AR" term="%22Vitral%2C+E%2E%22">Vitral, E.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> vitralfr@rose-hulman.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Elasticity%22">Journal of Elasticity</searchLink>. Feb2025, Vol. 157 Issue 1, p1-10. 10p. – Name: Abstract Label: Abstract Group: Ab Data: In this note, we address several issues, including some raised in recent works and commentary, related to bending measures and energies for plates and shells, and certain of their invariance properties. We discuss overlaps and distinctions in results arising from two different definitions of stretching, correct an error and citation oversights in our prior work, reiterate some of the early history of dilation-invariant bending measures, and provide additional brief observations regarding the relative size of energetic terms and the symmetrization of bending measures. A particular point of emphasis is the distinction between dilation-invariant measures and a recently introduced non-dilation-invariant measure for shells and curved rods. In the course of this discussion, we provide a simpler presentation of the elementary, but much neglected, fact that the through-thickness derivative of tangential stretch of material near the mid-surface of a thin body is the product of the mid-surface stretch and change in curvature. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Elasticity 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=182316042 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10659-024-10107-3 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Titles: – TitleFull: Assorted Remarks on Bending Measures and Energies for Plates and Shells, and Their Invariance Properties. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hanna, J. A. – PersonEntity: Name: NameFull: Vitral, E. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 03743535 Numbering: – Type: volume Value: 157 – Type: issue Value: 1 Titles: – TitleFull: Journal of Elasticity Type: main |
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