Semi-Analytical Method for Computing Effective Thermoelastic Properties in Fiber-Reinforced Composite Materials
Source abstract
Abstract
Effective elastic and thermal properties for isotropic or transversely isotropic thermoelastic fibrous composite materials are obtained. Fibers are distributed with the same periodicity along the two perpendicular directions to the fiber orientation. The periodic cell of the composite has a square or hexagonal distribution. Perfect contact between the fiber and the matrix is presented. The effective properties are calculated using a semi-analytical method. The semi-analytical method consists of obtaining the differential equations that describe the local problems using the Asymptotic Homogenization Method. Then, these equations are solved using the Finite Element Method. Effective elastic coefficient (C¯), effective thermal expansion coefficient (α¯) and the effective thermal conductivity (κ¯) are obtained. The numerical results are compared with the semi-analytical solution and with results reported by other authors. Additionally, the effective properties for a fiber with an elliptical cross section are calculated. Distributions of the fiber’s cross section with different orientations are also studied. A MATLAB program for computing the effective coefficients is presented.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Tecnologico de Monterrey, Escuela de Ingeniería y Ciencias, Carr. Av Lago de Guadalupe KM 3.5, Margarita Maza de Juárez, Cd López Mateos 52926, Mexico
References (32)
Show source-provided references
1. Mechanical properties of composite material reinforcing by natural-synthetic fibers
2. Numerical and analytical approaches for calculating the effective thermo-mechanical properties of three-phase composites10.1080/01495730701415665 ↗
3. Semi-analytical method for computing effective properties in elastic composite under imperfect contact10.1016/j.ijsolstr.2012.11.001 ↗
4. Determination of thermal expansion coefficients for unidirectional fiber-reinforced composites10.1016/j.cja.2014.03.010 ↗
5. Thermoelastic properties of fiber composites with imperfect interface10.1016/0167-6636(90)90051-G ↗
6. Computation of effective properties in elastic composites under imperfect contact with different inclusion shapes10.1002/mma.3956 ↗
7. Modeling of elastic transversaly isotropic composite using the asymptotic homogenization method. Some comparisons with other models10.1016/S0167-577X(02)00632-8 ↗
8. Closed-form thermoelastic moduli of a periodic three-phase fiber-reinforced composite10.1080/014957390967730 ↗
9. Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents. II: Piezoelectric and hexagonal symmetry10.1016/S0022-5096(01)00006-0 ↗
10. Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents—I. Elastic and square symmetry10.1016/S0167-6636(00)00059-4 ↗
11. Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents—II. Piezoelectric and square symmetry10.1016/S0167-6636(00)00060-0 ↗
12. Overall properties of piezocomposite materials 1–310.1016/S0167-577X(00)00285-8 ↗
13. Asymptotic homogenization of composite materials and structures10.1115/1.3090830 ↗
14. Modeling the elastic properties of carbon nanotube array/polymer composites10.1016/j.compscitech.2005.07.020 ↗
15. David Müzel, S., Bonhin, E.P., Guimarães, N.M., and Guidi, E.S. (2020). Application of the Finite Element Method in the Analysis of Composite Materials: A Review. Polymers, 12.10.3390/polym12040818 ↗
16. Gabbert, U., Kari, S., Bohn, N., and Berger, H. (2010). Numerical homogenization and optimization of smart composite materials. Mechanics and Model-Based Control of Smart Materials and Structures, Springer.10.1007/978-3-211-99484-9_7 ↗
17. Sensitivity and randomness in homogenization of periodic fiber-reinforced composites via the response function method10.1016/j.ijsolstr.2008.10.003 ↗
18. Iterative scheme in determination of the probabilistic moments of the structural response in the Stochastic perturbation-based Boundary Element Method10.1016/j.compstruc.2015.01.017 ↗
19. Closed-Form Expressions for the Effective Coefficients of Fiber-Reinforced Composite with Transversely Isotropic Constituents—I Elastic and Hexagonal Symmetry10.1016/S0022-5096(01)00006-0 ↗
20. Interphase effect on the effective magneto-electro-elastic properties for three-phase fiber-reinforced composites by a semi-analytical approach10.1016/j.ijengsci.2020.103310 ↗
21. Tapia, M., Espinosa-Almeyda, Y., Rodríguez-Ramos, R., and Otero, J.A. (2021). Computation of Effective Elastic Properties Using a Three-Dimensional Semi-Analytical Approach for Transversely Isotropic Nanocomposites. Appl. Sci., 11.10.3390/app11041867 ↗
22. Tu, Z., Mao, J., Han, X., and He, Z. (2019). Prediction model for the anisotropic thermal conductivity of a 2.5-d braided ceramic matrix composite with thin-wall structure. Appl. Sci., 9.10.3390/app9050875 ↗
23. Thermo-elastic Model for Multidirectional Coated-Fiber Composites: Traction Formulation10.1016/0266-3538(90)90061-9 ↗
24. Two approaches for the evaluation of the effective properties of elastic composite with parallelogram periodic cells10.1016/j.ijengsci.2012.03.020 ↗
25. Nowacki, W. (1975). Dynamic Problems of Thermoelasticity, Springer Science & Business Media.
26. Bakhvalov, N.S., and Panasenko, G. (2012). Homogenisation: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials, Springer Science & Business Media.
27. Bensoussan, A., Lions, J.L., and Papanicolaou, G. (1978). Asymptotic Analysis for Periodic Structures, AMS Chelsea Publishing.
28. Sánchez-Palencia, E. (1980). Non-homogeneous media and vibration theory. Lect. Notes Phys., 127.
29. Zienkiewicz, O.C., Taylor, R.L., and Zhu, J.Z. (2005). The Finite Element Method: Its Basis and Fundamentals, Elsevier.
30. Chandrupatla, T., and Belegundu, A. (2012). Introduction to Finite Elements in Engineering, Pearson Education. [4th ed.].
31. Kwon, Y., and Bang, H. (2000). The Finite Element Method Using Matlab, CRC Press. [2nd ed.].
32. Avellaneda, R., Rodríguez-Alemán, S., and Otero, J. (2021, June 08). Result Tables for Thermoelastic Composite Materials, 2021. Available online: https://osf.io/9qr3t.