Micromechanics-Based Elastoplastic Modeling of Functionally Graded Materials with Pairwise Particle Interactions
Publication: Journal of Engineering Mechanics
Volume 145, Issue 5
Abstract
To understand the inelastic behavior of functionally graded materials (FGMs) containing aluminum particles in high-density polyethylene (HDPE), a micromechanics-based elastoplastic model was developed. It was assumed that the particle phase was in a linearly elastic state while the matrix phase could be in a plastic stage. The corresponding yield function for the matrix phase was investigated, where the pairwise interaction term and probabilistic spatial distribution of particles were used to accommodate the gradation of particle volume fraction. Accordingly, the overall elastoplastic stress-strain response was established through homogenization of the stress and strain fields. The modeling prediction was validated with experiments on a specific functionally graded material. Good agreement was observed between the model and experimental results. In this paper, the effect of various particle distribution functions and relative material stiffness on the elastoplastic behavior of FGMs is addressed and discussed.
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Acknowledgments
This study was sponsored by the National Science Foundation (IIP 1738802) for the industry-university cooperative project with Schüco USA and CMMI (1762891) and the Air Force Office of Scientific Research (AFOSR-FA9550-14-C-0058), whose support is gratefully acknowledged. The authors appreciate Dr. Liming Li for his help in the experimental tests. The authors also appreciate the support of the Henry Mitchell Weitzner Research Fund and the Pao Research Gift, which have been and will be used in research of roofing materials for solar energy applications and technologies.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 5 • May 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jul 3, 2018
Accepted: Oct 18, 2018
Published online: Mar 15, 2019
Published in print: May 1, 2019
Discussion open until: Aug 15, 2019
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