Abstract
The objective of this study was to determine the overall thermal elastic behavior of composites by homogenization method. The results obtained were compared with those by other well-known methods such as mean field method, self-consistent method and etc. A good agreement is achieved and thus a reliable method for predicting the effective behavior of composite is presented. It is very easy to extend this method to multi-phase composite. The material properties determined here include elastic modulus, Poisson ratio and thermal expansion coefficient (CTE).
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References
T Mori and K Tanaka. Average Stress in Matrix and Average Elastic Energy of Materials With Misfitting Inclusions.Acta Metallurgica et Materialia, 1973, 21:571–574.
R Hill. A Self-Consistent Mechanics of Composite Materials.J. Mech. Phys. Solids, 1965, 13:213
R Mclaughlin. A Study of the Differential Scheme for Composite Materials,Int. J. Engng. Sci., 1977, 15:237
Mohammad Mohammadi-Aghdam.Micro-Mechanics of Unidirectional Metal Matrix Composites [Ph. D Dissertation]. University of Bristol, UK, 1999
Jose Miranda GUEDES and Noboru KIKUCHI. Preprocessing and Postprocessing for Materials Based on the Homogenization Method With Adaptive Finite Element Methods.Computer Methods in Applied Mechanics and Engineering, 1990, 83:143–198, North-Holland
C C Chamis. Simplified Composite Micromechanics Equations for Hygral, Thermal and Mechanical Properties.SAMPE Quarterly, April 1984:14–23
Kikuchi N. An Optimal-Design Method of Microstructure Using the Homogenization Method.Transactions of the Materials Research Society of Japan, 1994, 16:461–466
Hassani B, Hinton E. A Review of Homogenization and Topology Optimization I-Homogenization Theory for Media With Periodic Structure.Computers & Structures, 1998, 69(6):707–717
Hassani B, Hinton E. A Review of Homogenization and Topology Optimization III-Topology Optimization Using Optimality Criteria. COMPUTERS & STRUCTURES, 1998, 69(6):739–756
O C Zienkiewicz and R L Taylor.The Finite Element Method. Fourth Edition, London: McGraw-Hill, 1989
Wang Maocheng, Shao Min.The Basic Principles and Numerical Methods of Finite Element Method. Beijing: Tsinghua University Press, 1997
Schapery R A. Thermal Expansion Coefficients of Composite Materials Based on Energy Principles.Journal of Composite Materials, 1968, 2:380–384
O Pirgon, GH Wostenholm and B Yates. Thermal Expansion at Elevated Temperatures IV. Carbon-fiber Composites.J. Phys. D: Appl. Phys., 1973, 6(3):309–321
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Supported by the National High-Tech Foundation (863) (No. 2003AA305920)
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Aiqing, N., Jihui, W. Prediction of the overall elastic behavior of composites by homogenization method. J. Wuhan Univ. Technol.-Mat. Sci. Edit. 20, 74–77 (2005). https://doi.org/10.1007/BF02835033
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DOI: https://doi.org/10.1007/BF02835033