OPTIMIZATION DESIGN OF COMPOSITE PLATES WITH HOLES FOR INCREASED STRENGTH

Unlike in engineering structures, in nature, holes in bones are not normally involved in failure. This may be partly due to special material orthotropy distribution pattern in the vicinity of the hole. Material orthotropies have a dramatic influence on the strength of composite plates with holes. In this paper, a procedure for optimally determining the material orthotropies around a hole in a composite plate is presented. The material is assumed to have constant transversely isotropic elastic properties. Piecewise bilinear interpolation functions formed by quadrilateral elements are used to represent continuous material orthotropy distribution. Normalized Tsai-Wu failure index is minimized through genetic algorithm-based two-step optimization technique. The results show that the strength reduction due to hole in a composite plate can be dramatically alleviated by material orthotropy optimization near the hole. The optimized material orthotropies are similar in pattern to those found in bone around a foramen (blood vessel hole).

[1]  Raphael T. Haftka,et al.  Optimization of axisymmetric elastic modulus distributions around a hole for increased strength , 2003 .

[2]  R. Haftka,et al.  Arresting Cracks in Bone-like Composites , 2003 .

[3]  Jinhua Huang,et al.  Optimization design of plates with holes by mimicking bones through nonaxisymmetric functionally graded material , 2003 .

[4]  R. Haftka,et al.  OPTIMIZATION DESIGN OF INHOMOGENEOUS ISOTROPIC PLATES WITH HOLES BY MIMICKING BONES , 2002 .

[5]  M. Y. Kaltakci Stress concentrations and failure criteria in anisotropic plates with circular holes subjected to tension or compression , 1996 .

[6]  Srinivas Kodiyalam,et al.  Optimization of tow fiber paths for composite design , 1995 .

[7]  D. Barton,et al.  Experimentally determined microcracking around a circular hole in a flat plate of bone: comparison with predicted stresses. , 1995, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[8]  S. Gunderson,et al.  The Use of Preformed Holes for Increased Strength and Damage Tolerance of Advanced Composites , 1993 .

[9]  M. W. Hyer,et al.  Use of curvilinear fiber format in composite structure design , 1991 .

[10]  Michael W. Hyer,et al.  Innovative design of composite structures: The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes , 1990 .

[11]  Michael W. Hyer,et al.  Stresses in Pin-Loaded Orthotropic Plates: Photoelastic Results , 1985 .

[12]  Guriĭ Nikolaevich Savin,et al.  Stress concentration around holes , 1961 .