Abstract
An inverse analysis method based on nonlinear finite element analysis is developed to find an optimized morphology of periodic microstructure for improving the macroscopic mechanical properties in duplex elastoplastic solids. Here a gradient-based computational optimization method and two types of homogenization methods are employed. In this study, the optimization problem is defined as the maximization of the sum of macroscopic external works for several macroscopic deformation modes, enabling us to obtain a high strength material. The morphologic strengthening effect is discussed through a comparison with experiments and classical theories.
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Acknowledgments
This research was supported by the Japan Science and Technology Agency under collaborative research based on industrial demand “Heterogeneous Structure Control: Towards Innovative Development of Metallic Structural Materials” and Grant-in-Aid for Young Scientists (No. 25102711, 25820359).
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Watanabe, I., Nakamura, G., Yuge, K., Setoyama, D., Iwata, N. (2015). Maximization of Strengthening Effect of Microscopic Morphology in Duplex Steels. In: Altenbach, H., Matsuda, T., Okumura, D. (eds) From Creep Damage Mechanics to Homogenization Methods. Advanced Structured Materials, vol 64. Springer, Cham. https://doi.org/10.1007/978-3-319-19440-0_24
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DOI: https://doi.org/10.1007/978-3-319-19440-0_24
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