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ple the creation of a FE mesh – is needed. The developed methods are mesh
independent. In the scope of this study, this advantage is proven by a vast
number of comparative FE calculations with different mesh refinements. The
FE calculation were carried out using the programm system I-Deas Master Series 11 with linear and quadratic 4-node and 8-node shell elements,
respectively. Some selected results of this study are presented in Fig. 9 for a
[±4510 ]s GF/PP multilayered composite plate with a circular cut-out (diameter ∅ = 30 mm) under a plate-bending load Mx = 1000 Nm/m.
Fig. 9. Shear distortion on laminate top surface for different FE mesh refinements
(linear 4-node shell elements)
It is obvious that there is a great influence of the number of elements at the
edge of the notch, i. e. the mesh density (q. v. Fig. 9). Generally the parameter
studies on the influence of the FE mesh density lead to the conclusion, that in
all cases there is a great influence on the stress and strain fields in the vicinity
of the notch. In the case presented here, more than 360 elements on the notch
edge are needed to at least qualitatively follow the curve of the analytically
calculated strains, and even 1440 elements are not enough to quantitatively
reach the analytical results. To overcome this disadvantage of the FE analysis, it is planned to combine the developed semi-analytical mesh-independent
calculation methods (for the local stress concentration analysis) with the FE
method (for the global structural analysis) by the means of analytical super
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