Advanced FEM Modelling

  • Maria Augusta Neto
  • Ana Amaro
  • Luis Roseiro
  • José Cirne
  • Rogério Leal


This chapter presents a discussion on some modelling techniques for the stress analyses of solids and structures. Mesh symmetry, rigid elements and constraint equations, mesh compatibility, modelling of offsets, supports and connections between elements with different mathematical bases are all covered. Advanced modelling of laminated composite materials are also presented.


Stiffness Matrix Shell Element Orthotropic Material Global Coordinate System Slave Node 
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  1. 1.
    Liu GR, Quek SS (2003) The finite element method: a practical course. Butterworth-Heinemann, BurlingtonGoogle Scholar
  2. 2.
    Knupp PM (2007) Remarks on mesh quality. Paper presented at the 45th AIAA aerospace sciences meeting and exhibit, Reno, 7–10 Jan 2007Google Scholar
  3. 3.
    Sousa L, Veríssimo P, Ambrósio J (2008) Development of generic multibody road vehicle models for crashworthiness. Multibody Sys Dyn 19(1–2):133–158. doi: 10.1007/s11044-007-9093-z CrossRefzbMATHGoogle Scholar
  4. 4.
    Robinson J (1987) CRE method of element testing and the Jacobian shape parameters. Eng Comput 4(2):113–118. doi: 10.1108/eb023689 CrossRefGoogle Scholar
  5. 5.
    Lee N-S, Bathe K-J (1993) Effects of element distortions on the performance of isoparametric elements. Int J Numer Methods Eng 36(20):3553–3576. doi: 10.1002/nme.1620362009 CrossRefzbMATHGoogle Scholar
  6. 6.
    Bathe K-J (1996) Finite element procedures. Prentice HallGoogle Scholar
  7. 7.
    Zienkiewicz OC, Taylor RL (2000) The finite element method. Butterworth-Heinemann, R&D Inc. Boston, MA, USAGoogle Scholar
  8. 8.
    ADINA R & D I (2014) User’s manal. R&D Inc., BostonGoogle Scholar
  9. 9.
    Vaz M, de Souza Neto EA, Munoz-Rojas PA (2011) Advanced computational materials modeling: from classical to multi-scale techniques. WileyGoogle Scholar
  10. 10.
    Shabana AA (2005) Dynamics of multibody systems. Cambridge University Press, CambridgeCrossRefzbMATHGoogle Scholar
  11. 11.
    Reddy JN (1997) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, Boca RatonzbMATHGoogle Scholar
  12. 12.
    Bunsell AR, Renard J (2005) Fundamentals of fibre reinforced composite materials. Taylor & Francis, BristolCrossRefGoogle Scholar
  13. 13.
    Hyer MW (1998) Stress analysis of fiber-reinforced composite materials. Mechanical engineering. WCB/McGraw-Hill, BostonGoogle Scholar
  14. 14.
    Reddy B, Reddy A, Kumar J, Reddy K (2012) Bending analysis of laminated composite plates using finite element method. Int J Eng Sci Technol 4(2):177–190CrossRefGoogle Scholar
  15. 15.
    Reddy JN (2003) Mechanics of laminated composites plates and shells: theory and analysis. CRC Press, Boca RetonGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Maria Augusta Neto
    • 1
  • Ana Amaro
    • 1
  • Luis Roseiro
    • 2
  • José Cirne
    • 3
  • Rogério Leal
    • 3
  1. 1.CEMUC - Centre for Mechanical EngineeringUniversity of CoimbraCoimbraPortugal
  2. 2.Department of Mechanical EngineeringPolytechnic Institute of CoimbraCoimbraPortugal
  3. 3.Department of Mechanical EngineeringUniversity of CoimbraCoimbraPortugal

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