Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles
Source abstract
Abstract
The aim of presenting this paper is to evaluate the effective material properties of spherical particle reinforced composites for different volume fractions up to 60%. A numerical homogenization technique based on the finite element method (FEM) with representative volume element (RVE) was used to evaluate the effective material properties with periodic boundary conditions. The numerical approach is based on the FEM and it allows the extension of the composites with arbitrary geometrical inclusion configurations, providing a powerful tool for fast calculation of their effective material properties. Modified random sequential adsorption algorithm (RSA) was used to generate the three-dimensional RVE models of randomly distributed spherical particles. The effective material properties obtained using the numerical homogenization techniques were compared with different analytical methods and good agreement was achieved. Several investigations had been conducted to estimate the influence of the size of spherical particles and of the RVE on effective material properties of spherical particle reinforced composites.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (33)
Show source-provided references
1. A new approach to the application of Mori–Tanaka’s theory in composite materials10.1016/0167-6636(87)90005-6 ↗
2. An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites10.1016/j.ijsolstr.2005.03.016 ↗
3. Berger H, Kari S, Gabbert U, Rodriguez-Ramos R, Guinovart-Diaz R, Otero JA, et al. Unit cell models of piezoelectric fiber composites for numerical and analytical calculation of effective properties. J Smart Mater Struct, in press.10.1088/0964-1726/15/2/026 ↗
4. Finite element and asymptotic homogenization methods applied to smart material composites10.1007/s00466-003-0500-x ↗
5. Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements10.1016/S0927-0256(02)00248-3 ↗
6. Solutions for effective shear properties of three phase sphere and cylinder models10.1016/0022-5096(79)90032-2 ↗
7. Micromechanics-based variational estimates for a higher-order nonlocal constitutive equation and optimal choice of effective moduli of elastic composites10.1016/S0022-5096(99)00088-5 ↗
8. A micromechanics-based nonlocal constitutive equation and estimates of the representative volume element size for elastic composites
9. The determination of the elastic field of an ellipsoidal inclusion and related problems10.1098/rspa.1957.0133 ↗
10. The elastic field outside an ellipsoidal inclusion10.1098/rspa.1959.0173 ↗
11. Elastic inclusions and inhomogeneities
12. Representative volume element size for elastic composites: a numerical study10.1016/S0022-5096(97)00016-1 ↗
13. Fiber packing and elastic properties of transversely random unidirectional glass/epoxy composite10.1016/S0266-3538(99)00152-9 ↗
14. The elastic moduli of heterogeneous materials10.1115/1.3636446 ↗
15. A variational approach to the theory of elastic behaviour of multiphase materials10.1016/0022-5096(63)90060-7 ↗
16. A self-consistent mechanics of composite materials10.1016/0022-5096(65)90010-4 ↗
17. Numerical simulation of the effects of volume fraction, aspect ratio and fibre length distribution on the elastic and thermoelastic properties of short fibre composites10.1016/S0266-3538(02)00089-1 ↗
18. Determination of the size of the representative volume element for random composites: statistical and numerical approach10.1016/S0020-7683(03)00143-4 ↗
19. Numerical homogenization techniques applied to piezoelectric composites10.1121/1.1537710 ↗
20. A unified approach to predict overall properties of composite materials10.1016/j.matchar.2004.10.005 ↗
21. A numerical approximation to the elastic properties of sphere-reinforced composites10.1016/S0022-5096(02)00021-2 ↗
22. Direct numerical predictions for the elastic and thermo elastic properties of short fibre composites10.1016/S0266-3538(02)00106-9 ↗
23. Bounds on the elastic and transport properties of two-component composites10.1016/0022-5096(82)90022-9 ↗
24. New bounds on effective elastic moduli of two-component materials10.1098/rspa.1982.0044 ↗
25. Average stress in the matrix and average elastic energy of materials with misfitting inclusions10.1016/0001-6160(73)90064-3 ↗
26. Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle10.1002/zamm.19290090104 ↗
27. Elements of homogenization theory for inelastic solid mechanics
28. Random heterogeneous media: Microstructure and improved bounds on the effective properties10.1115/1.3119494 ↗
29. Effective stiffness tensor of composite media. II. Applications to isotropic dispersions10.1016/S0022-5096(97)00083-5 ↗
30. Morphology and effective properties of disordered heterogeneous media10.1016/S0020-7683(97)00142-X ↗
31. Torquato · 2002
32. Random sequential adsorption, series expansion and Monte Carlo simulation10.1016/S0378-4371(98)00028-4 ↗
33. Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper10.1002/andp.18892741206 ↗