Finite Element Modeling of Composite Materials using Kinematic Constraints

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Oscar E. Ruiz
Merlin Barschke
David Uribe
Jens Jensen
Carlos López


Composite Materials, Geometric Constraints, Kinematic Constraints


The purpose of this article is to present simulations of the behavior of composite materials based on kinematic restrictions among the fibers themselves and among fibers and the surrounding resine. In the literature review the authors have found that the kinematic restrictions have not been fully exploited for modeling composite materials, probably due to their high computational expense. The purpose of this article is to show the implementation and results of such a model, by using a Finite Element Analysis of geometric restrictions prescribed to the resine and fiber nodes. Closed analytic descriptions on behavior of layered composite materials are very rare. Many approaches to describe layered composite material are based on the theory of functions [formula] and [fórmula], such as the Classic Layer Theory (CLT). These theories of functions contain strong simplifications of the material, in particular for woven composites. A hybrid approximation to model composite materials with Finite Elements (FEA) was developed by Sidhu and Averill and adapted by Li and Sherwood for composite materials woven with glass polypropylene. The present article presents a method to obtain values for the properties of the composed materials. Such values are used to simulate the reinforced woven fibers by applying layered elements in the ANSYS software. Our model requires less simplifications as compared with the theories [formula] and [fórmula]. In the present article, differing from the model Li and Sherwood, the weaving model is geometrically simulated. A Boundary Representation (B-Rep "Hand" model) with genus 1 (with complex geometry) was used to apply geometric restrictions to the layers resine, fiber, etc., showing to be appropriate to simulate complex structures. In the future, non linear properties of materials are to be considered, as well as to perform the required experimental work.

PACS: 88.30.mj, 81.05.Lg

MSC: 65L60, 53A17


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[1] R. M. J. S. Sidhu, R. C. Averill, M. Riaz and F. Pourboghrat. Finite element analysis of textile composite preform stamping. Composite Structures, ISSN 0263–8223, 52(3–4), 483–497 (2001).

[2] Xiang Li, James Sherwood, Lu Liu and Julie Chen. A material model for woven commingled glass-polypropylene composite fabrics using a hybrid finite element approach. International Journal of Materials and Product Technology, pISSN 0268–1900, eISSN 1741-5209, 21(1-2-3), 59–70 (2004).

[3] T. K. Varadan and S. Savithri. Laminated plates under uniformly distributed and concentrated loads. Journal of Applied Mechanics, ISSN 0021–8936, 59(1), 211–214 (1992).

[4] Mauricio V. Donadon, Brian G. Falzona, Lorenzo Iannuccia and John M. Hodgkinson. A 3-d micromechanical model for predicting the elastic behaviour of woven laminates. Composites Science and Technology, ISSN 0266–3538, 67(11–12), 2467–2477 (2007).

[5] K. Rohwer, S. Friedrichs and C.Wehmeyer. Analyzing Laminated Structures from Fibre-Reinforced Composite Material–An Assessment . Technische Mechanik, ISSN 0232 3869, 25(), 59–79 (2005). Referenced in 138

[6] A. Tabiei and Y. Jiang.Woven fabric composite material model with material nonlinearity for nonlinear finite element simulation. International Journal of Solids and Structures, ISSN 0020–7683, 36(18), 2757–2771 (1999).

[7] L. Li, S. M. Kim, S. H. Song, T. W. Ku, W. J. Song, J. Kim, M. K. Chong, J. W. Park and B. S. Kang. Finite element modeling and simulation for bending analysis of multi–layer printed circuit boards using woven fiber composite. Journalof Materials Processing Technology, ISSN 0924–0136, 201(1–3), 746–750 (2008).

[8] J. Cao, R. Akkerman, P. Boisse, J. Chen, H.S. Cheng, E. F. de Graaf, J. L. Gorczyca, P. Harrison, G. Hivet, J. Launay, W. Lee, L. Liud, S. V. Lomov, A. Long, E. de Luycker, F. Morestin, J. Padvoiskis, X.Q. Peng, J. Sherwood, Tz. Stoilova, X. M. Tao, I. Verpoest, A. Willems, J. Wiggers, T.X. Yu and B. Zhu. Characterization of mechanical behavior of woven fabrics: Experimental methods and benchmark results. Composites. Part A, Applied science and manufacturing, ISSN 1359–835X, 39(6), 1037–1053 (2008).

[9] Hansun Ryou, Kwansoo Chung and Woong-Ryeol Yu. Constitutive modeling of woven composites considering asymmetric/anisotropic, rate dependent, and nonlinear behavior. Composites. Part A, Applied science and manufacturing, ISSN 1359–835X, 38(12), 2500–2510 (2007).

[10] Isidor M. Djordjevic, Daniela R. Sekult and Momcilo M. Stevanovi. Non-linear elastic behaviour of carbon fibres of different structural and mechanical characteristic.Journal of the Serbian Chemical Society, ISSN 0352–5139, 72(5), 513–521 (2007).

[11] Ji Hoon Kim, Lee Myoung-Gyu, Ryou Hansun, Chung Kwansoo, Jae Ryoun Youn and Tae Jin Kang. Development of nonlinear constitutive laws for anisotropic and asymmetric fiber reinforced composites. Polymer Composites, ISSN 0272–8397, 29(2), 216–228 (2008).

[12] Kun Zhou, Xin Huang, Xi Wang, Yiying Tong, Mathieu Desbrun, Baining Guo and Heung-Yeung Shum. Mesh quilting for geometric texture synthesis. ACM Transactions on Graphics (TOG), ISSN 0730–0301, 25(3), 690–697 (2006).

[13] Documentation for ANSYS, 11.0 edition, 2007.