Resin-mineral composite materials, as a class of important engineering materials, possess excellent mechanical properties and broad application prospects. The accurate prediction of their equivalent elastic constants is crucial for the design and application of these materials. This paper aims to delve into the equivalent elastic constants of resin-mineral composite materials, providing new insights for the design of these composites by combining theoretical analysis and experimental investigation. Initially, the homogenization concept of composite materials and Eshelby’s equivalent inclusion theory are employed to theoretically analyze the internal stress field of the composites, yielding explicit expressions for the equivalent elastic constants of resin-mineral composite materials. Subsequently, a series of resin-mineral composite specimens with varying volume fractions of constituent materials are fabricated and subjected to elastic property tests. The results indicate that the discrepancy between the experimental and theoretical equivalent elastic constants is approximately 10%, which substantiates the reliability of the theoretical analysis process. Finally, the influence of steel fiber and aggregate volume fractions on the equivalent elastic constants of resin-mineral composite materials is analyzed. These findings are of significant importance for optimizing the design of composite materials and enhancing their application performance.
XinSFanY. Research on the static and dynamic characteristics of the bed of resin-mineral composite material processing center. Machine Tool & Hydraulics2014; 42(21): 172–177.
2.
LiYWuTLiW. Micromechanical properties and damage mechanism of fiber-reinforced resin-mineral composite materials. J Funct Mater2024; 55(10): 10127–10141.
3.
HeZQinF. Prediction of the overall effective elastic constants of rubber powder cement concrete based on equivalent inclusion theory. New Building Materials2016; 43(06): 25–28.
4.
LiuXLiZZhaiF. Research on deformation and elastic constants of SiO2f/SiO2 fabric composite materials. Aeronautical Manufacturing Technology2018; 61(09): 92–95.
5.
HuDZengYZhangL, et al.Prediction of macroscopic elastic constants and modal test research of 2D woven SiC/SiC ceramic matrix composite materials. Propulsion Technology2018; 39(02): 465–472.
6.
XuYJZhangWHWangHB. Prediction of effective elastic modulus of plain weave multiphase and multilayer silicon carbide ceramic matrix composite. Mater Sci Technol2008; 24(4):435–442.
7.
L VLM SAC M PL, et al.A novel micromechanical model based on the rule of mixtures to estimate effective elastic properties of circular fiber composites. Appl Compos Mater2022; 29(4):1715–1731.
8.
PenceTJWinemanA. On some connections between equivalent single material and mixture theory models for fiber reinforced hyperelastic materials. Int J Non Lin Mech2012; 47(2):285–292.
9.
WangYQinQ. A generalized self consistent model for effective elastic moduli of human dentine. Compos Sci Technol2006; 67(7):1553–1560.
10.
ZhouZChenM. Prediction of equivalent elastic modulus of lattice reinforced core with cavities using multi-level equivalent mori-tanaka method. J Compos Mater2018; 35(12): 3517–3525.
11.
AmdadulMSushenK. Evaluation of elastic properties of graphene nanoplatelet/epoxy nanocomposites. Mater Today Proc. 2021; 44(P1): 735.
12.
ДанилаевМПКарандашовСАКуклинВА, et al.Evaluation of the effective mechanical properties of a particle-reinforced polymer composite with low-modulus inclusions. Phys Mesomech2024; 27(5): 578–591.
13.
LiHHuangHWangR, et al.Prediction method for elastic modulus of resin-mineral composites considering the effects of pores and interfacial transition zones. Arch Appl Mech2024; 94: 2859–2876.
14.
JavadinejadMMashayekhiMKarevanM, et al.Using the equivalent fiber approach in two-scale modeling of the elastic behavior of carbon nanotube/epoxy nanocomposite. Nanomaterials2018; 8(9):696.
15.
DouglasEJ. The elastic field outside an ellipsoidal inclusion. Proc R Soc Lond1959; 252: 561–569.
16.
ShahSMaiarùM. Computational micromechanics-based model for transverse strength analysis of composites. Int J Multiscale Comput Eng2023; 21(6): 77–97.
17.
TamuraNHasunumaKSaitoT, et al.Mechanical and thermal properties of porous nanocellulose/polymer composites: influence of the polymer chemical structure and porosity. ACS Omega2024; 9(17): 19560–19565.
18.
LeeSHongCJiW. In situ micromechanical analysis of discontinuous fiber-reinforced composite material based on DVC strain and fiber orientation fields. Compos B Eng2022; 247(0): 110361.
19.
DuLYanJLuX, et al.Basalt fiber reinforced polypropylene composite materials based on digimat RVE. Plastics Science and Technology2024; 52(11): 125–129.
20.
ZhangCWangYHuangZ. Equivalent elastic constants of transversely isotropic matrix composite materials. Appl Math Mech2018; 39(07): 750–765.
21.
SunCTVaidyaRS. Prediction of composite properties from a representative volume element. Compos Sci Technol1996; 56(2): 171–179.
22.
PrakashCGhoshS. A self-consistent homogenization framework for dynamic mechanical behavior of fiber reinforced composites. Mech Mater2022; 166(0): 104222.
23.
LiaoGLiXZouP, et al.Prediction of equivalent elastic constants of tungsten wire reinforced zirconium-based bulk amorphous composite materials based on homogenization method. Chin J Nonferrous Metals2014; 24(06): 1449–1458.
24.
YanJYangSHeS. Magnetic strain model of Terfenol-D composite materials based on eshelby's equivalent inclusion theory. Mater Sci Technol2002; 54(02): 196–198.
HuangSYuanZ. Strain concentration factor of heterogeneous materials and analytical influence functions based on eshelby tensor. Theoretical and Applied Mechanics Letters2024; 14(4):100542.
27.
YangWMingJXiaoG, et al.Average eshelby tensor of an arbitrarily shaped inclusion from convexity to non-convexity: effective elastic properties of composites. Int J Solid Struct2023; 269: 112183.
28.
HuMXuGHuS. Research on equivalent elastic modulus of gravel soil based on eshelby tensor and mori-tanaka equivalent method. Rock Soil Mech2013; 34(05): 1437–1448.
29.
YaoL. Prediction of elastic modulus of rubber particle asphalt mixture based on composite material model. Highway Traffic Science and Technology2013; 9(10): 181–183.
30.
Kumar JhaNKumarSTyagiA, et al.Finite element and micromechanical analysis of glass/epoxy laminated composite with different orientations. Mater Today Proc2020; 28(Pt 3):1899–1903.
31.
DengFXuLChiY, et al.Calculation of effective elastic modulus of hybrid fiber concrete based on homogenization theory. J Chin Ceram Soc2019; 47(02): 161–170.
32.
Standard for test methods of mechanical properties of normal concrete. Beijing: China Architecture & Building Press, 2016.
33.
GouHZhuHZhouH, et al.Enhancement of ultra-high performance concrete by oriented distribution of steel fibers. J Chin Ceram Soc2020; 48(11): 1756–1764.
34.
OuyangXShiCShiJ, et al.Compressive mechanical properties and elastic modulus prediction of ultra-high performance concrete. J Chin Ceram Soc2021; 49(02): 296–304.
35.
ChenYFengJZhuT, et al.Toughening mechanism of concrete under different aggregate volume fractions and microscopic fracture simulation. J Compos Mater2022; 39(10): 4972–4987.
