Application of a layerwise theory for efficient topology optimization of laminate structure

Abstract

This research applies a layerwise theory to topologically optimize laminate composite. As laminate composite structures are consisted of many thin layers, some limitations exist in analyzing and optimizing based on linear plate or shell theory. To overcome these limitations and problems, various layerwise theories have been developed. Thus, more accurate solutions can be efficiently obtained by these layerwise theories. In this research, one of the layerwise theory is applied to topologically optimize laminate structures. In the forward analysis for structural displacements, it is possible to efficiently conduct a numerical analysis and the sensitivity analysis in topology optimization. By solving several numerical examples, we observed that the directions of optimal layouts are different from each other depending on the type of load applied. Also, various design shapes were drawn to complement the difference in stiffness due to the rotation of each layer. In addition, an analysis of how the various combinations of angles and their position affect the stiffness was also discussed in this study.