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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2017, Vol. 38 ›› Issue (5): 220579-220579.doi: 10.7527/S1000-6893.2017.220579

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Prediction of FRP stiffness based on a new implementation of homogenization method

GAO Tao1, QI Wenkai1,2, SHEN Cheng1,2   

  1. 1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. Jiangsu Province Key Laboratory of Aerospace Power System, Nanjing 210016, China
  • Received:2016-06-30 Revised:2017-01-23 Online:2017-05-15 Published:2017-02-16
  • Supported by:

    Aeronautical Science Foundation of China (2013ZB52019);National Natural Science Foundation of China (11502110);Natural Science Foundation of Jiangsu Province of China (BK20150737);the Fundamental Research Funds for Central Universities (NJ20150005)

Abstract:

Based on a new implementation of asymptotic homogenization (AH) method, the macroscopic equivalent elastic properties of unidirectional fiber reinforced polymer (FRP) and the effect of fiber arrangement on the equivalent mechanical properties were predicted and discussed. This method can be easily implemented to obtain the effective elastic constants using commercial finite element analysis (FEA) software as a tool box, and nodal displacement field corresponding to the unit strain field was applied with consideration of periodic boundary conditions. Compared to traditional homogenization methods this method significantly reduced the difficulty of implementation and simplified the calculation process. A comparison of several methods reveals that this implementation method is simple and the result obtained is accurate. The numerical results show:fiber reinforced polymer with hexagonal arrangement has transversely isotropic material behavior but FRP with square arrangement has orthotropic material behavior; a stiffness averageness procedure is required to obtain the transversely isotropic stiffness matrix of FRP; the fiber volume fraction has a significant but different effect on the equivalent elastic modulus of the two kinds of arrangement.

Key words: homogenization method, equivalent elastic properties, periodic boundary condition, finite element, fiber arrangement, composites

CLC Number: