Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures
In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/23/8425 |
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| author | Shahriar Dastjerdi Bekir Akgöz Ömer Civalek |
| author_facet | Shahriar Dastjerdi Bekir Akgöz Ömer Civalek |
| author_sort | Shahriar Dastjerdi |
| collection | DOAJ |
| description | In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research. |
| first_indexed | 2024-03-09T17:42:42Z |
| format | Article |
| id | doaj.art-810dd92fff99493789a66dc3f717d9c7 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T17:42:42Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-810dd92fff99493789a66dc3f717d9c72023-11-24T11:28:01ZengMDPI AGMaterials1996-19442022-11-011523842510.3390/ma15238425Viscoelasticity in Large Deformation Analysis of Hyperelastic StructuresShahriar Dastjerdi0Bekir Akgöz1Ömer Civalek2Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, TurkeyDivision of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, TurkeyDivision of Mechanics, Civil Engineering Department, Akdeniz University, Antalya 07070, TurkeyIn this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.https://www.mdpi.com/1996-1944/15/23/8425nonlinear hyperelastic materialviscoelasticitysemi-analytical polynomial methodlarge deformation |
| spellingShingle | Shahriar Dastjerdi Bekir Akgöz Ömer Civalek Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures Materials nonlinear hyperelastic material viscoelasticity semi-analytical polynomial method large deformation |
| title | Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures |
| title_full | Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures |
| title_fullStr | Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures |
| title_full_unstemmed | Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures |
| title_short | Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures |
| title_sort | viscoelasticity in large deformation analysis of hyperelastic structures |
| topic | nonlinear hyperelastic material viscoelasticity semi-analytical polynomial method large deformation |
| url | https://www.mdpi.com/1996-1944/15/23/8425 |
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