TY  - EJOU
AU  - Gerrard, Dustin D.  
AU  - Fullwood, David T.  
AU  - Halverson, Denise M.  
AU  - Niezgoda, Stephen R.  

TI  - Computational Homology, Connectedness, and Structure-Property Relations
T2  - Computers, Materials \& Continua

PY  - 2010
VL  - 15
IS  - 2
SN  - 1546-2226

AB  - 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.
KW  - Homology
KW  -  Topology
KW  -  Stiffness
KW  -  Microstructure

DO  - 10.3970/cmc.2010.015.129