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Closed-Form Analysis of Stress and Deformation in Functionally Graded Multi-Layer Hyperelastic Cylinders Under Internal Pressure.

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Title: Closed-Form Analysis of Stress and Deformation in Functionally Graded Multi-Layer Hyperelastic Cylinders Under Internal Pressure.
Authors: Sarlakian, Elaheh1 (AUTHOR), Askari-Sedeh, Mahdi1,2 (AUTHOR), Ostadrahimi, Alireza1,2 (AUTHOR), Choi, Eunsoo2 (AUTHOR) ostadrahimi.86@gmail.com, Baniassadi, Majid1 (AUTHOR), Baghani, Mostafa1 (AUTHOR) baghani@ut.ac.ir
Source: Materials (1996-1944). Jun2026, Vol. 19 Issue 12, p2642. 20p.
Subjects: Functionally gradient materials, Analytical solutions, Deformations (Mechanics), Fluid pressure, Stress concentration, Finite element method
Abstract: This study presents a closed-form analytical solution for large-deformation pressure-induced stress and displacement fields in thick-walled, functionally graded (FG) hyperelastic polyvinyl chloride (PVC) cylinders subjected to internal pressure. The formulation inherently satisfies incompressibility—an aspect not guaranteed by standard finite element methods (FEMs)—and provides explicit expressions for all stress and deformation components. Using a Mooney–Rivlin model with an exponential–logarithmic gradation law, the study examines bi-layer and tri-layer configurations under varying property-changing scenarios. The governing equations are reduced to a single nonlinear scalar relation for the radial mapping constant, ensuring computational efficiency. Analytical predictions demonstrate excellent agreement with FEM results (errors < 1%) and recover homogeneous limits, and demonstrate that continuous gradation significantly reduces stress concentrations compared to discrete layering. The proposed model offers an efficient tool for designing pressure-resistant FG hyperelastic components for engineering applications such as pipes, hoses, biomedical devices, and protective casings. [ABSTRACT FROM AUTHOR]
Copyright of Materials (1996-1944) is the property of MDPI 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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  Data: Closed-Form Analysis of Stress and Deformation in Functionally Graded Multi-Layer Hyperelastic Cylinders Under Internal Pressure.
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  Data: &lt;searchLink fieldCode=&quot;JN&quot; term=&quot;%22Materials+%281996-1944%29%22&quot;&gt;Materials (1996-1944)&lt;/searchLink&gt;. Jun2026, Vol. 19 Issue 12, p2642. 20p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study presents a closed-form analytical solution for large-deformation pressure-induced stress and displacement fields in thick-walled, functionally graded (FG) hyperelastic polyvinyl chloride (PVC) cylinders subjected to internal pressure. The formulation inherently satisfies incompressibility—an aspect not guaranteed by standard finite element methods (FEMs)—and provides explicit expressions for all stress and deformation components. Using a Mooney–Rivlin model with an exponential–logarithmic gradation law, the study examines bi-layer and tri-layer configurations under varying property-changing scenarios. The governing equations are reduced to a single nonlinear scalar relation for the radial mapping constant, ensuring computational efficiency. Analytical predictions demonstrate excellent agreement with FEM results (errors &lt; 1%) and recover homogeneous limits, and demonstrate that continuous gradation significantly reduces stress concentrations compared to discrete layering. The proposed model offers an efficient tool for designing pressure-resistant FG hyperelastic components for engineering applications such as pipes, hoses, biomedical devices, and protective casings. [ABSTRACT FROM AUTHOR]
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  Data: &lt;i&gt;Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder&#39;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.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.3390/ma19122642
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 20
        StartPage: 2642
    Subjects:
      – SubjectFull: Functionally gradient materials
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Deformations (Mechanics)
        Type: general
      – SubjectFull: Fluid pressure
        Type: general
      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: Closed-Form Analysis of Stress and Deformation in Functionally Graded Multi-Layer Hyperelastic Cylinders Under Internal Pressure.
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            NameFull: Sarlakian, Elaheh
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            NameFull: Askari-Sedeh, Mahdi
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            NameFull: Choi, Eunsoo
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            NameFull: Baniassadi, Majid
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            – D: 15
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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