Enhanced strength models for notched laminates with finite outer boundaries
Werner Hufenbach, Lothar Kroll, Martin Lepper, Paweł Kostka, Marta Czulak Institut für Leichtbau und Kunststofftechnik (ILK), Technische Universität Dresden, 01062 Dresden, Germany
Annals 3 No. 7, 2003 pages 255-259
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abstract For the practical design of notched fibre reinforced components, methods that consider finite anisotropic plates with a cutout are of special interest. The notch-induced stress concentrations lead to critical strains and frequently initiate catastrophic failure of the component. By selective fibre reinforcement of the matrix, a redistribution of the stress peaks relevant to failure can be achieved. In the course of this, the fibre orientation, besides the notch geometry, plays a decisive role. An anisotropic plate with finite dimensions and a hole in its center will be used here to analytically model stress concentrations. Unlike the infinite plate, this problem comprises a doubly connected outer area. A solution method has been developed for stress concentration problems of fibre-reinforced compounds based on the method of complex-valued stress functions combined with conformal mappings. Using the solution methods developed here, the whole calculation procedure was modified and extended in such a way, that even the influence of a finite outer boundary of the plate can be described. The consideration of the outer boundary is of high importance for practical problems, because then the essential influence of the notch size in dependence of the material, geometry and loading parameters can be also determined. Key words: anisotropy, plates, notch, stress concentration, finite outer boundary, conformal mapping