A constitutive model has been developed to predict the elastic response of two dimensional balsa wood material with a distribution of cell geometries. Two planar triangular grids, each assumed to represent the structural network of an open cell foam material, are superimposed to model an overall cellular structure with a distribution of cell geometries. The elastic mixture theory is applied in conjunction with the micropolar elasticity theory to homogenize the cellular structure and to establish the overall constitutive relationship.
An Elastic Micropolar Mixture Theory Approach for Predicting Elastic Properties of Open Cell Foams
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Elangovan, S, Altan, BS, & Odegard, GM. "An Elastic Micropolar Mixture Theory Approach for Predicting Elastic Properties of Open Cell Foams." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 10: Mechanics of Solids and Structures, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 913-923. ASME. https://doi.org/10.1115/IMECE2007-41435
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