journal article·2024-01-01Open access

A modified Halpin–Tsai model for predicting the elastic modulus of composite materials

Dong Zhou, Xiaoyan Tong, Hongjun Liu, Shengli Lv, T. S. Srivatsan, Xiaosheng Gao

AIP Advances· Volume 14· Issue 1

Abstract

Composite materials have been widely used in recent years due to an attractive combination of superior physical properties. Since the macroscopic properties of a composite material are determined by the microscopic structure of the bottom layers, it is critical to calculate the macroscopic elastic modulus of single-layer plates using the elastic modulus of the component material(s) in a scientific and effective manner. The traditional Halpin–Tsai model only considers two materials when calculating the macroscopic elastic modulus. This paper proposes an improved model considering three-phase components (fiber, matrix, and interface). A finite element representative volume element is created to determine the empirical parameter ξ, and its overall validity is established by comparing it with the experimental results. This improved model offers more convenience in predicting the macroscopic elastic modulus of a composite material and can even predict the overall mechanical properties based solely on the mechanical properties of the component material.
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Research context

OpenAlex topics: Composite Material Mechanics · Mechanical Behavior of Composites · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Aeronautics, Northwestern Polytechnical University 1 , Xi’an 710072, China

National Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University 2 , Xi’an 710065, China

Department of Mechanical Engineering, The University of Akron 3 , Akron, Ohio 44325, USA

References (29)

Show source-provided references
1. Micromechanical modeling and characterization of damage evolution in glass fiber epoxy matrix composites10.1016/j.mechmat.2016.05.006 ↗
2. Multiscale homogenization method for the prediction of elastic properties of fiber-reinforced composites10.1016/j.ijsolstr.2020.08.009 ↗
3. Comparative analysis of micromechanical models for the elastic composite laminae10.1016/j.compositesb.2019.106961 ↗
4. Assessment of simplified composite micromechanics using three-dimensional finite-element analysis10.1520/CTR10326J ↗
5. A unified energy approach to a class of micromechanics models for composite materials10.1007/bf02487185 ↗
6. Ueber die beziehung zwischen den beiden elasticittsconstanten isotroper Krper10.1002/andp.18892741206 ↗
7. Berechnung der fliessgrenze von mischkristallen auf grand der plastizitatsbedingung fun einkristalle10.1002/zamm.19290090104 ↗
8. On some variational principles in anisotropic and nonhomogeneous elasticity10.1016/0022-5096(62)90004-2 ↗
9. The determination of the elastic field of an ellipsoidal inclusion, and related problems10.1098/rspa.1957.0133 ↗
10. On the elastic moduli of some heterogeneous materials10.1016/0022-5096(65)90011-6 ↗
11. A self-consistent mechanics of composite materials10.1016/0022-5096(65)90010-4 ↗
12. Solutions for effective shear properties in three phase sphere and cylinder models10.1016/0022-5096(79)90032-2 ↗
13. Average stress in matrix and average elastic energy of materials with misfitting inclusions10.1016/0001-6160(73)90064-3 ↗
14. 1969
15. Comparison of experimental and theoretical transverse elastic modulus of carbon fibers10.1016/j.carbon.2006.01.026 ↗
16. 2014
17. Estimation of the reinforcement factor for calculating the transverse stiffness with the Halpin-Tsai equations using the finite element method10.1016/j.compstruct.2015.01.008 ↗
18. On the constant parameters of Halpin-Tsai equation10.1016/j.polymer.2016.10.049 ↗
19. Theoretical models for stiffness prediction of short fiber composites10.1016/j.matpr.2022.02.177 ↗
20. Using neural networks to modeling the transverse elasticity modulus of unidirectional composites10.1016/j.compositesb.2011.04.042 ↗
21. Recent advances of interphases in carbon fiber-reinforced polymer composites: A review10.1016/j.compositesb.2022.109639 ↗
22. Nano-analysis on the structure and chemical composition of the interphase region in carbon fiber composite10.1016/j.compositesa.2013.10.003 ↗
23. Load carrying characteristics of short fiber composites containing a heterogeneous interphase region10.1016/s0927-0256(00)00129-4 ↗
24. Lamina properties, lay-up configurations and loading conditions for a range of fiber-reinforced composite laminates10.1016/s0266-3538(98)00078-5 ↗
25. Prediction of composite properties from a representative volume element10.1016/0266-3538(95)00141-7 ↗
26. A new method for generating random fiber distributions for fiber reinforced composites10.1016/j.compscitech.2012.12.001 ↗
27. Efficient generator of random fiber distribution with diverse volume fractions by random fiber removal10.1016/j.compositesb.2018.12.042 ↗
28. Micro-mechanical analysis on random RVE size and shape in multiscale finite element modelling of unidirectional FRP composites10.1016/j.compstruct.2021.115081 ↗
29. Input data for test cases used in benchmarking triaxial failure theories of composites10.1177/0021998312449886 ↗