Asymptotically correct isoenergetic formulation of geometrically nonlinear anisotropic plates.
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| Title: | Asymptotically correct isoenergetic formulation of geometrically nonlinear anisotropic plates. |
|---|---|
| Authors: | Pathak, Anup Kumar1 (AUTHOR) 2018mez0015@iitrpr.ac.in, Singh, Satwinder Jit1 (AUTHOR), Padhee, Srikant Sekhar1 (AUTHOR) |
| Source: | Mechanics of Advanced Materials & Structures. Dec2024, Vol. 31 Issue 29, p12265-12287. 23p. |
| Subjects: | Shear strain, Surface plates, Shearing force, Correction factors, Computational complexity |
| Abstract: | In the present work, a new displacement-based Equivalent Single Layer (ESL) plate theory has been developed using the Variational Asymptotic Method (VAM) and the principle of isoenergetics. In contrast to the existing assumption-based ESL plate theories, the proposed VAM-based plate theory is devoid of any presuppositions. The VAM decouples the 3D plate problem into a 1D through the thickness analysis and a 2D planar problem. Closed form solutions have been obtained for the 1D problem in terms of 2D displacement variables and their higher-order derivatives. The complexity involving higher-order derivatives of 2D displacement variables has been simplified through the isoenergetic principle ensuring a similar rate of convergence for strains as well as displacements. Solutions for various field variables have been compared against the benchmark problems available in the literature and 3D FEA. These comparisons demonstrate the accuracy, efficiency, and versatility of the present methodology. Key contributions of the present work are (a) First principles-based derivation of the reduced-order 2D plate model from the 3D model energy. (b) The plane stress condition as well as the quadratic variation of transverse shear stress and strain are natural outcomes of the present mathematical framework. (c) This leads to zero tangential traction boundary conditions on the plate surface. (d) The effectiveness of capturing higher-order behavior at lower-order results in simplified analysis, reduced computational complexity and increased efficiency. [ABSTRACT FROM AUTHOR] |
| Copyright of Mechanics of Advanced Materials & Structures is the property of Taylor & Francis Ltd 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.) | |
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| Header | DbId: egs DbLabel: Engineering Source An: 181626425 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Asymptotically correct isoenergetic formulation of geometrically nonlinear anisotropic plates. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pathak%2C+Anup+Kumar%22">Pathak, Anup Kumar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 2018mez0015@iitrpr.ac.in</i><br /><searchLink fieldCode="AR" term="%22Singh%2C+Satwinder+Jit%22">Singh, Satwinder Jit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Padhee%2C+Srikant+Sekhar%22">Padhee, Srikant Sekhar</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mechanics+of+Advanced+Materials+%26+Structures%22">Mechanics of Advanced Materials & Structures</searchLink>. Dec2024, Vol. 31 Issue 29, p12265-12287. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Shear+strain%22">Shear strain</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+plates%22">Surface plates</searchLink><br /><searchLink fieldCode="DE" term="%22Shearing+force%22">Shearing force</searchLink><br /><searchLink fieldCode="DE" term="%22Correction+factors%22">Correction factors</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+complexity%22">Computational complexity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In the present work, a new displacement-based Equivalent Single Layer (ESL) plate theory has been developed using the Variational Asymptotic Method (VAM) and the principle of isoenergetics. In contrast to the existing assumption-based ESL plate theories, the proposed VAM-based plate theory is devoid of any presuppositions. The VAM decouples the 3D plate problem into a 1D through the thickness analysis and a 2D planar problem. Closed form solutions have been obtained for the 1D problem in terms of 2D displacement variables and their higher-order derivatives. The complexity involving higher-order derivatives of 2D displacement variables has been simplified through the isoenergetic principle ensuring a similar rate of convergence for strains as well as displacements. Solutions for various field variables have been compared against the benchmark problems available in the literature and 3D FEA. These comparisons demonstrate the accuracy, efficiency, and versatility of the present methodology. Key contributions of the present work are (a) First principles-based derivation of the reduced-order 2D plate model from the 3D model energy. (b) The plane stress condition as well as the quadratic variation of transverse shear stress and strain are natural outcomes of the present mathematical framework. (c) This leads to zero tangential traction boundary conditions on the plate surface. (d) The effectiveness of capturing higher-order behavior at lower-order results in simplified analysis, reduced computational complexity and increased efficiency. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mechanics of Advanced Materials & Structures is the property of Taylor & Francis Ltd 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: 10.1080/15376494.2024.2319106 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 12265 Subjects: – SubjectFull: Shear strain Type: general – SubjectFull: Surface plates Type: general – SubjectFull: Shearing force Type: general – SubjectFull: Correction factors Type: general – SubjectFull: Computational complexity Type: general Titles: – TitleFull: Asymptotically correct isoenergetic formulation of geometrically nonlinear anisotropic plates. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pathak, Anup Kumar – PersonEntity: Name: NameFull: Singh, Satwinder Jit – PersonEntity: Name: NameFull: Padhee, Srikant Sekhar IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 12 Text: Dec2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 15376494 Numbering: – Type: volume Value: 31 – Type: issue Value: 29 Titles: – TitleFull: Mechanics of Advanced Materials & Structures Type: main |
| ResultId | 1 |
