A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics.
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| Title: | A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics. |
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| Authors: | Castañar, Inocencio1 (AUTHOR), Codina, Ramon1,2 (AUTHOR), Baiges, Joan1,2 (AUTHOR) joan.baiges@upc.edu |
| Source: | International Journal for Numerical Methods in Engineering. 5/30/2023, Vol. 124 Issue 10, p2341-2366. 26p. |
| Subjects: | Strains & stresses (Mechanics), Energy function, Strain energy, Solids |
| Abstract: | In this work a new methodology for finite strain solid dynamics problems for stress accurate analysis including the incompressible limit is presented. In previous works, the authors have presented the stabilized mixed displacement/pressure formulation to deal with the incompressibility constraint in finite strain solid dynamics. To this end, the momentum equation is complemented with a constitutive law for the pressure which emerges from the deviatoric/volumetric decomposition of the strain energy function for any hyperelastic material model. The incompressible limit is attained automatically depending on the material bulk modulus. This work exploits the concept of mixed methods to formulate stable displacement/pressure/deviatoric stress finite elements. The final goal is to design a finite element technology able to tackle simultaneously problems which may involve incompressible behavior together with a high degree of accuracy of the stress field. The variational multi‐scale stabilization technique and, in particular, the orthogonal subgrid scale method allows the use of equal‐order interpolations. These stabilization procedures lead to discrete problems which are fully stable, free of volumetric locking, stress oscillations and pressure fluctuations. Numerical benchmarks show that the results obtained compare very favorably with those obtained with the corresponding stabilized mixed displacement/pressure formulation. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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: 162897441 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Castañar%2C+Inocencio%22">Castañar, Inocencio</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Codina%2C+Ramon%22">Codina, Ramon</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Baiges%2C+Joan%22">Baiges, Joan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> joan.baiges@upc.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Engineering%22">International Journal for Numerical Methods in Engineering</searchLink>. 5/30/2023, Vol. 124 Issue 10, p2341-2366. 26p. – 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="%22Energy+function%22">Energy function</searchLink><br /><searchLink fieldCode="DE" term="%22Strain+energy%22">Strain energy</searchLink><br /><searchLink fieldCode="DE" term="%22Solids%22">Solids</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work a new methodology for finite strain solid dynamics problems for stress accurate analysis including the incompressible limit is presented. In previous works, the authors have presented the stabilized mixed displacement/pressure formulation to deal with the incompressibility constraint in finite strain solid dynamics. To this end, the momentum equation is complemented with a constitutive law for the pressure which emerges from the deviatoric/volumetric decomposition of the strain energy function for any hyperelastic material model. The incompressible limit is attained automatically depending on the material bulk modulus. This work exploits the concept of mixed methods to formulate stable displacement/pressure/deviatoric stress finite elements. The final goal is to design a finite element technology able to tackle simultaneously problems which may involve incompressible behavior together with a high degree of accuracy of the stress field. The variational multi‐scale stabilization technique and, in particular, the orthogonal subgrid scale method allows the use of equal‐order interpolations. These stabilization procedures lead to discrete problems which are fully stable, free of volumetric locking, stress oscillations and pressure fluctuations. Numerical benchmarks show that the results obtained compare very favorably with those obtained with the corresponding stabilized mixed displacement/pressure formulation. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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: 10.1002/nme.7213 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 2341 Subjects: – SubjectFull: Strains & stresses (Mechanics) Type: general – SubjectFull: Energy function Type: general – SubjectFull: Strain energy Type: general – SubjectFull: Solids Type: general Titles: – TitleFull: A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Castañar, Inocencio – PersonEntity: Name: NameFull: Codina, Ramon – PersonEntity: Name: NameFull: Baiges, Joan IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 05 Text: 5/30/2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 00295981 Numbering: – Type: volume Value: 124 – Type: issue Value: 10 Titles: – TitleFull: International Journal for Numerical Methods in Engineering Type: main |
| ResultId | 1 |
