Feasiblity study of a direct second order finite element method for structures analysis

The classical modelizations used in structures analysis fail for singular situations which give high gradients. All numerical methods lead then to inaccurate or instable results, due to the geometrical and/or loading singularities.High gradients zones (even very localized) are precisely damaging areas, especially responsible for fatigue collapses. Therefore, it seems of particularly interest to introduce a better modelization in order to eliminate the mentioned difficulties, ensuring at the same way a complete compatibility in complex structures analysis.