A new polyhedral element for the analysis of hexahedral-dominant finite element models and its application to nonlinear solid mechanics problems
A hexahedral-dominant finite element mesh can be easily constructed by cutting regular hexahedral elements in a simple block with CAD surfaces representing outer surfaces of a geometric model. Polyhedral elements with straight edges but possibly non-planar faces are generated at the domain boundarie...
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| Vydané v: | Computer methods in applied mechanics and engineering Ročník 324; s. 248 - 277 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Amsterdam
Elsevier B.V
01.09.2017
Elsevier BV |
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| ISSN: | 0045-7825, 1879-2138 |
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| Abstract | A hexahedral-dominant finite element mesh can be easily constructed by cutting regular hexahedral elements in a simple block with CAD surfaces representing outer surfaces of a geometric model. Polyhedral elements with straight edges but possibly non-planar faces are generated at the domain boundaries, while regular hexahedral elements remain in the interior region. Shape functions for polyhedral elements are derived from moving least square approximation based on a tetrahedral subdivision of polyhedral domains by a centroid-based subdivision technique. The polyhedral shape functions in this study have similar properties to conventional finite element shape functions in terms of continuity and completeness within elements, compatibility across inter-element boundaries and the Kronecker-delta property. Furthermore, the present approach using hexahedral-dominant meshes with polyhedral elements at domain boundaries is successfully applied to solve large deformation problems of hyperelastic and elastic–plastic materials. |
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| AbstractList | A hexahedral-dominant finite element mesh can be easily constructed by cutting regular hexahedral elements in a simple block with CAD surfaces representing outer surfaces of a geometric model. Polyhedral elements with straight edges but possibly non-planar faces are generated at the domain boundaries, while regular hexahedral elements remain in the interior region. Shape functions for polyhedral elements are derived from moving least square approximation based on a tetrahedral subdivision of polyhedral domains by a centroid-based subdivision technique. The polyhedral shape functions in this study have similar properties to conventional finite element shape functions in terms of continuity and completeness within elements, compatibility across inter-element boundaries and the Kronecker-delta property. Furthermore, the present approach using hexahedral-dominant meshes with polyhedral elements at domain boundaries is successfully applied to solve large deformation problems of hyperelastic and elastic–plastic materials. |
| Author | Nguyen-Hoang, Son Kim, Hyun-Gyu Sohn, Dongwoo |
| Author_xml | – sequence: 1 givenname: Son surname: Nguyen-Hoang fullname: Nguyen-Hoang, Son organization: Department of Mechanical & Automotive Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, South Korea – sequence: 2 givenname: Dongwoo surname: Sohn fullname: Sohn, Dongwoo organization: Division of Mechanical Engineering, College of Engineering, South Korea Maritime and Ocean University, 727 Taejong-ro, Yeongdo-gu, Busan 49112, South Korea – sequence: 3 givenname: Hyun-Gyu surname: Kim fullname: Kim, Hyun-Gyu email: khg@seoultech.ac.kr organization: Department of Mechanical & Automotive Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, South Korea |
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| Keywords | Hyperelastic materials Trimmed hexahedral elements Moving least square approximation Polyhedral elements Large deformations |
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| SubjectTerms | Approximation Boundary element method CAD Computer aided design Continuity (mathematics) Elastic deformation Elastoplasticity Finite element analysis Finite element method Hyperelastic materials Large deformations Mathematical analysis Mathematical models Moving least square approximation Polyhedra Polyhedral elements Shape functions Solid mechanics Solid modeling Studies Trimmed hexahedral elements |
| Title | A new polyhedral element for the analysis of hexahedral-dominant finite element models and its application to nonlinear solid mechanics problems |
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