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The unsymmetric finite element formulation and variational incorrectness

  • Rajendran, S. (School of Mechanical and Aerospace Engineering, Nanyang Technological University)
  • Published : 2008.04.20

Abstract

Keywords

References

  1. Rajendran, S. and Liew, K.M. (2003), "A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic field", Int. J. Numer. Meth. Eng., 58, 1718-1748
  2. Rajendran, S. and Subramanian, S. (2004), "Mesh distortion sensitivity of 8-node plane elasticity elements based on parametric, metric, parametric-metric, and metric-parametric formulations", Struct. Engi. Mech., 17, 767-788 https://doi.org/10.12989/sem.2004.17.6.767
  3. Ooi, E.T., Rajendran, S. and Yeo, J.H. (2004), "A 20-node hexahedron element with enhanced distortion tolerance", Int. J. Numer. Meth. Eng., 60, 2501-2530 https://doi.org/10.1002/nme.1056
  4. Prathap, G. and Mukherjee, S. (2004), "Management-by-stress model of finite element computation", Research Report CM 0405, CSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore, November
  5. Liew, K.M., Rajendran, S. and Wang, J. (2006), "A quadratic plane triangular element immune to quadratic mesh distortions under quadratic displacement fields", Comput. Meth. Appl. Mech. Eng., 195, 1207-1223 https://doi.org/10.1016/j.cma.2005.04.012
  6. Prathap, G., Senthilkumar, V. and Manju, S. (2006), "Mesh distortion immunity of finite elements and the best-fit paradigm", Sadhana, 31, 505-514 https://doi.org/10.1007/BF02715909

Cited by

  1. Use of unsymmetric finite element method in impact analysis of composite laminates vol.47, pp.4, 2011, https://doi.org/10.1016/j.finel.2010.12.016