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Computational Homology, Connectedness, and Structure-Property Relations
Department of Mechanical Engineering, Brigham Young University, Provo UT
Department of Mathematics, Brigham Young University, Provo UT
Department of Materials Science and Engineering, Drexel University., Philadelphia, PA
Computers, Materials & Continua 2010, 15(2), 129-152. https://doi.org/10.3970/cmc.2010.015.129
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The effective properties of composite materials are often strongly related to the connectivity of the material components. Many structure metrics, and related homogenization theories, do not effectively account for this connectivity. In this paper, relationships between the topology, represented via homology theory, and the effective elastic response of composite plates is investigated. The study is presented in the context of popular structure metrics such as percolation theory and correlation functions.Keywords
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APA Style
Gerrard, D.D., Fullwood, D.T., Halverson, D.M., Niezgoda, S.R. (2010). Computational homology, connectedness, and structure-property relations. Computers, Materials & Continua, 15(2), 129-152. https://doi.org/10.3970/cmc.2010.015.129
Vancouver Style
Gerrard DD, Fullwood DT, Halverson DM, Niezgoda SR. Computational homology, connectedness, and structure-property relations. Comput Mater Contin. 2010;15(2):129-152 https://doi.org/10.3970/cmc.2010.015.129
IEEE Style
D.D. Gerrard, D.T. Fullwood, D.M. Halverson, and S.R. Niezgoda "Computational Homology, Connectedness, and Structure-Property Relations," Comput. Mater. Contin., vol. 15, no. 2, pp. 129-152. 2010. https://doi.org/10.3970/cmc.2010.015.129
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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