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http://dx.doi.org/10.7734/COSEIK.2014.27.4.239

Periodic Mesh Generation for Composite Structures using Polyhedral Finite Elements  

Sohn, Dongwoo (Division of Mechanical and Energy Systems Engineering, College of Engineering, Korea Maritime and Ocean University)
Park, Jong Youn (Product Solution Research Group, Steel Solution Center, POSCO)
Cho, Young-Sam (Division of Mechanical and Automotive Engineering, College of Engineering, Wonkwang University)
Lim, Jae Hyuk (Satellite Structure Department, Korea Aerospace Research Institute)
Lee, Haengsoo (Faculty of Mechanical Engineering, Ulsan College)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.27, no.4, 2014 , pp. 239-245 More about this Journal
Abstract
Finite element modeling of composite structures may be cumbersome due to complex distributions of reinforcements. In this paper, an efficient scheme is proposed that can generate periodic meshes for the composite structures. Regular meshes with hexahedral finite elements are first prepared, and the elements are then trimmed to fit external surfaces of reinforcements in the composite structures. The trimmed hexahedral finite elements located at interfaces between the matrix and the reinforcements correspond to polyhedral finite elements, which allow an arbitrary number of nodes and faces in the elements. Because the trimming process is consistently conducted by means of consistent algorithms, the elements of the reinforcements are automatically compatible with those of the matrices. With the additional consideration of periodicity of reinforcements in a representative volume element(RVE), the proposed scheme provides periodic meshes in an efficient manner, which are compatible for each pair of periodic boundaries of the RVE. Therefore, periodic boundary conditions for the RVE are enforced straightforwardly. Numerical examples demonstrate the effectiveness of the proposed scheme for finite element modeling of complex composite structures.
Keywords
polyhedral finite elements; composite structures; periodic mesh generation; periodic boundary conditions;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Kim, H.-G. (2014) A Study on the Development of Shape Functions of Polyhedral Finite Elements, Journal of the Computational Structural Engineering Institute of Korea, 27, pp.183-189.   과학기술학회마을   DOI   ScienceOn
2 Lorensen, W.E., Cline, H.E. (1987) Marching Cubes: A High Resolution 3D Surface Construction Algorithm, ACM SIGGRAPH Computer Graphics, 21, pp.163-169.   DOI
3 Martin, S., Kaufmann, P., Botsch, M., Wicke, M., Gross, M. (2008) Polyhedral Finite Elements using Harmonic Basis Functions, Computer Graphics Forum, 27, pp.1521-1529.   DOI   ScienceOn
4 Oliveira, J.A., Pinho-da-Cruz, J., Teixeira-Dias, F. (2009) Asymptotic Homogenisation in Linear Elasticity. Part II: Finite Element Procedures and Multiscale Applications, Computational Materials Science, 45, pp.1081-1096.   DOI   ScienceOn
5 Pinho-da-Cruz, J., Oliveira, J.A., Teixeira-Dias, F. (2009) Asymptotic Homogenisation in Linear Elasticity. Part I: Mathematical Formulation and Finite Element Modelling, Computational Materials Science, 45, pp.1073-1080.   DOI   ScienceOn
6 Rashid, M.M., Selimotic, M. (2006) A Three-Dimensional Finite Element Method with Arbitrary Polyhedral Elements, International Journal for Numerical Methods in Engineering, 67, pp.226-252.   DOI   ScienceOn
7 Bishop, J.E. (2014) A Displacement-based Finite Element Formulation for General Polyhedral using Harmonic Shape Functions, International Journal for Numerical Methods in Engineering, 97, pp.1-31.   DOI   ScienceOn
8 Sohn, D., Han, J., Cho, Y.-S., Im, S. (2013) A Finite Element Scheme with the aid of a New Carving Technique Combined with Smoothed Integration, Computer Methods in Applied Mechanics and Engineering, 254, pp.42-60.   DOI   ScienceOn
9 Reis, F.J.P., Andrade Pires, F.M. (2014) A Mortar based Approach for the Enforcement of Periodic Boundary Conditions on Arbitrarily Generated Meshes, Computer Methods in Applied Mechanics and Engineering, 274, pp.168-191.   DOI   ScienceOn
10 Sohn, D., Cho, Y.-S., Im, S. (2012) A Novel Scheme to Generate Meshes with Hexahedral Elements and Poly-pyramid Elements: The Carving Technique, Computer Methods in Applied Mechanics and Engineering, 201-204, pp.208-227.   DOI   ScienceOn
11 Wang, X.F., Wang, X.W., Zhou, G.M., Zhou, C.W. (2007) Multi-scale Analyses of 3D Woven Composite based on Periodicity Boundary Conditions, Journal of Composite Materials, 41, pp.1773-1788.   DOI
12 Fritzen, F., Bohlke, T., Schnack, E. (2009) Periodic Three-dimensional Mesh Generation for Crystalline Aggregates based on Voronoi Tessellations, Computational Mechanics, 43, pp.701-713.   DOI
13 Yun, S.-H. (2000) The Finite Element Analysis for Calculations of Equivalent Elastic Constants using the Homogenization Method, Journal of the Computational Structural Engineering Institute of Korea, 13, pp.51-61.   과학기술학회마을
14 Chung, P.W., Tamma, K.K., Namburu, R.R. (2001) Asymptotic Expansion Homogenization for Heterogeneous Media: Computational Issues and Applications, Composites: Part A, 32, pp.1291-1301.   DOI   ScienceOn
15 Fritzen, F., Bohlke, T. (2011) Periodic Threedimensional Mesh Generation for Particle Reinforced Composites with Application to Metal Matrix Composites, International Journal of Solids and Structures, 48, pp.706-718.   DOI   ScienceOn