Abstract
A new inverse homogenization procedure is applied to design graded fiber reinforced shafts subject to local stress criteria. The method is based on new multiscale stress criteria given by macrostress modulation functions. The modulation functions quantify the intensity of local stress fluctuations at the scale of the microstructure due to the imposed macroscopic stress. The method is carried out for long cylindrical shafts reinforced with stiff cylindrical elastic fibers with generators parallel to the shaft. Benchmark examples are presented for shaft cross sections that possess reentrant corners typically seen in lap joints and junctions of struts.
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Lipton, R., Stuebner, M. (2006). Design of Fiber Reinforced Shafts Subject to Local Stress Constraints Through Inverse Homogenization. In: Bendsøe, M.P., Olhoff, N., Sigmund, O. (eds) IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Solid Mechanics and Its Applications, vol 137. Springer, Dordrecht . https://doi.org/10.1007/1-4020-4752-5_49
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DOI: https://doi.org/10.1007/1-4020-4752-5_49
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