Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs
In this work, the small-strain elastoplastic behavior of structures is analyzed using an improved nonlinear finite element formulation. In this framework, an eight-node quadrilateral finite element denoted PFR8 (Plane Fiber Rotation) that belongs to the set of elements with rotational degrees of fre...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2020-02-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2691 |
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| author | Ayoub Ayadi Kamel Meftah Lakhdar Sedira |
| author_facet | Ayoub Ayadi Kamel Meftah Lakhdar Sedira |
| author_sort | Ayoub Ayadi |
| collection | DOAJ |
| description | In this work, the small-strain elastoplastic behavior of structures is analyzed using an improved nonlinear finite element formulation. In this framework, an eight-node quadrilateral finite element denoted PFR8 (Plane Fiber Rotation) that belongs to the set of elements with rotational degrees of freedom is developed. Its formulation stems from the plane adaptation of the Space Fiber Rotation (SFR) concept that considers virtual rotations of nodal fiber within the element. This approach results in an enhancement of the displacement vector approximation. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. Newton-Raphson method has been used to solve the nonlinear equations. To assess the performance of the proposed element, benchmark problems are addressed and the results are compared with some analytical and numerical solutions from the literature. |
| format | Article |
| id | doaj-art-7d9b4cd079964e55824f4f6fbbdaacfa |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2020-02-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-7d9b4cd079964e55824f4f6fbbdaacfa2025-01-02T23:01:02ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932020-02-011452Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFsAyoub Ayadi0Kamel Meftah1Lakhdar Sedira2University of Biskra, Laboratoire de Génie Energétique et Matériaux, LGEM, Faculty of Sciences and Technology, Biskra, 07000, AlgeriaUniversity of Biskra, Laboratoire de Génie Energétique et Matériaux, LGEM, Faculty of Science and TechnologyUniversity of Biskra, Laboratoire de Génie Mécanique, LGM, Faculty of Sciences and Technology, Biskra, 07000, AlgeriaIn this work, the small-strain elastoplastic behavior of structures is analyzed using an improved nonlinear finite element formulation. In this framework, an eight-node quadrilateral finite element denoted PFR8 (Plane Fiber Rotation) that belongs to the set of elements with rotational degrees of freedom is developed. Its formulation stems from the plane adaptation of the Space Fiber Rotation (SFR) concept that considers virtual rotations of nodal fiber within the element. This approach results in an enhancement of the displacement vector approximation. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. Newton-Raphson method has been used to solve the nonlinear equations. To assess the performance of the proposed element, benchmark problems are addressed and the results are compared with some analytical and numerical solutions from the literature.https://www.fracturae.com/index.php/fis/article/view/2691Elasto-plasticityNonlinear analysisMembrane finite elementPlane Fiber RotationRotational DOFs |
| spellingShingle | Ayoub Ayadi Kamel Meftah Lakhdar Sedira Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs Fracture and Structural Integrity Elasto-plasticity Nonlinear analysis Membrane finite element Plane Fiber Rotation Rotational DOFs |
| title | Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs |
| title_full | Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs |
| title_fullStr | Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs |
| title_full_unstemmed | Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs |
| title_short | Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs |
| title_sort | elastoplastic analysis of plane structures using improved membrane finite element with rotational dofs |
| topic | Elasto-plasticity Nonlinear analysis Membrane finite element Plane Fiber Rotation Rotational DOFs |
| url | https://www.fracturae.com/index.php/fis/article/view/2691 |
| work_keys_str_mv | AT ayoubayadi elastoplasticanalysisofplanestructuresusingimprovedmembranefiniteelementwithrotationaldofs AT kamelmeftah elastoplasticanalysisofplanestructuresusingimprovedmembranefiniteelementwithrotationaldofs AT lakhdarsedira elastoplasticanalysisofplanestructuresusingimprovedmembranefiniteelementwithrotationaldofs |