Finite element modelling of the interphase region on the mechanical behaviour of a composite containing micrometer sized spherical particles

Kim Ngoc Tran, Yan Ding, John Anthony Gear

Abstract


When a particle or filler is embedded into a polymer matrix, a third region is generated between the filler and matrix due to their chemical reaction between. This region is known as the interphase region. The properties of the interphase are affected by the material properties of the particles and the polymer matrix as well as the volume fraction of the composite. We implement the interphase mathematical model into the finite element method algorithm to investigate the effect of the interphase region on the deformation behaviour of the composite. The properties of the interphase at the matrix boundary are assumed to be smooth and continuous, while discontinuous at the particle boundary. The finite element algorithm employs Galerkin weak formulation with quadratic shape functions. The displacement, strain and stress of the composite are calculated along the radial axis originated from the centre of a particle. The finite element modelling results are presented.

References
  • Y. Ding, K. N. Tran, J. A. Gear, D. Mainwaring, and P. Murugaraj. Influence of the inetrphase between nanoparticle and matrix on Young's Mdulus of nanocomposite. Proceedings of the 2008 International Conference on Nanoscience and Nanotechnology, ICONN 2008, IEEE Cat. No. 08EX1890C, ISBN 1-4244-1504-7, Copyright 2008 IEEE, 28--31. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04639213
  • Z. Hashin and S. Shtrikman. A variational approach to the theory of the Elastic behaviour of mutiphase materials. Journal of the Mechanics and Physics of Solids 11, 1963, 127--140. doi:10.1016/0022-5096(63)90060-7
  • Z. Hashin and P. J. M Moteiro. An inverse method to determine the elastic properties of the interphase between the aggregate and the cement paste. Cement and Concerte Research 32, 2002, 1291--1300. doi:10.1016/S0008-8846(02)00792-5
  • N. Lombardo Effect of an inhomogenoueus interphase on the thermal expansion coefficient of a particulate composite. Composite Science and Technology 65, 2005, 909--919. doi:10.1016/j.compscitech.2005.05.006
  • J. Moczo and B. Pukanszky Polymer micro and nanocomposite: Structure, interactions, properties. Journal of Industrial and Engineering Chemistry 14, 2008, 535--563. doi:10.1016/j.jiec.2008.06.011
  • C. Sun, P. Saffarri, E. Ranade, K. Sadeghipour and G. Baran Finite Element analysis of elastic property bounds of a composite with randomly distributed particles. Composite Part A: Applied science and manufacturing 38, 2007, 80--86. doi:10.1016/j.compositesa.2006.01.010
  • K. N. Tran and Y. Ding The effect of interphase on the properties of a composite containing spherical particles. Mathematics and Statistics Research Report No. 2007/02, School of Mathematical and Geospatial Sciences, RMIT University, 2007, ISBN: 978 1 921166 70 9.
  • C. P. Tsui, C. Y. Tang and T. C. Le Finite element analysis of polymer composite filled by interphase coated particles. J. Material processing Technology 117, 2001, 105--110. doi:10.1016/S0924-0136(01)01117-7
  • C. Yang, H. Huh and T. H. Hahn. Evaluation of effective material peoperties of composite materials using FEM. J. Material processing Technology 140, 2003, 185--190. doi:10.1016/S0924-0136(03)00712-X

Keywords


FEM, nanocomposite, interphse, stress, strain

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v51i0.2526



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.