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Computational Homology, Connectedness, and Structure-Property Relations

Dustin D. Gerrard1, David T. Fullwood1, Denise M. Halverson2, Stephen R. Niezgoda3

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

Abstract

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.

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Cite This Article

D. D. . Gerrard, D. T. . Fullwood, D. M. . Halverson and S. . Niezgoda, "Computational homology, connectedness, and structure-property relations," Computers, Materials & Continua, vol. 15, no.2, pp. 129–152, 2010.



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