The effects of three-dimensional multi-particle arrangements on the mechanical behavior and damage initiation of particle-reinforced MMCs
Source abstract
Abstract
A study of particle-reinforced metal-matrix composites (MMCs) by three-dimensional multi-inclusion unit cells is presented. It employs cube-shaped cells containing some 20 randomly positioned spherical inclusions to approximate statistically homogeneous arrangements of elastic particles embedded in an elastoplastic matrix. Three-dimensional simple periodic arrays as well as two-dimensional arrangements of particles in a matrix are considered for comparison. Uniaxial tensile loading is modeled and results for the macroscale and microscale mechanical responses are evaluated in terms of ensemble and phase averages. To assess damage initiation by particle fracture the maximum principal stresses in the elastic inclusions are used to calculate fracture probabilities by using Weibull statistics. Clear differences between multi-particle models and simple periodic arrangements as well as between planar and three-dimensional models are found in terms of the overall moduli, of the phase averages and standard deviations of the microscale stress and strain fields, and of the particle fracture probabilities.
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Research context
OpenAlex topics: Composite Material Mechanics · Rock Mechanics and Modeling · Aluminum Alloys Composites Properties
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References (39)
Show source-provided references
1. The determination of the elastic field of an ellipsoidal inclusion and related problems10.1098/rspa.1957.0133 ↗
2. The overall elastoplastic behavior of multiphase materials with isotropic components10.1007/BF01274241 ↗
3. Nonlinear composites
4. A thermo-elasto-plastic constitutive law for inhomogeneous materials based on an incremental Mori–Tanaka approach10.1016/S0045-7949(98)00208-9 ↗
5. Plastic flow in ductile materials containing a cubic array of rigid spheres10.1016/0749-6419(91)90035-W ↗
6. Effects of particle morphology and spacing on the strain fields in a plastically deforming matrix10.1016/1359-6454(95)00209-X ↗
7. Microstructural design of composites using the homogenization method and digital images
8. Effects of thermal residual stresses and fiber packing on deformation of metal-matrix composites10.1016/0956-7151(93)90186-V ↗
9. Particle fracture simulation in non-uniform microstructures of metal-matrix composites10.1016/S1359-6454(97)00289-9 ↗
10. Modeling of phase arrangement effects in high speed tool steels
11. Effective properties of composite materials with periodic microstructure10.1016/S0045-7825(98)00227-8 ↗
12. Representative volume element size for elastic composites10.1016/S0022-5096(97)00016-1 ↗
13. A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids
14. Mechanical behavior of two-phase materials investigated by the finite element method10.1016/0921-5093(95)09891-7 ↗
15. Comparison between three-dimensional and two-dimensional statistics-based unit cell models for particle reinforced MMCs10.1088/0965-0393/9/2/301 ↗
16. Microstructural factors controlling the strength and ductility of particle reinforced metal-matrix composites10.1016/S0022-5096(97)00038-0 ↗
17. Weibull modeling of particle cracking in metal matrix composites10.1016/0956-7151(95)90152-3 ↗
18. Particle cleavage and ductile crack growth in a two-phase composite on a microscale10.1016/S0927-0256(98)00039-1 ↗
19. Fracture of brittle particles in a ductile matrix10.1007/BF00018353 ↗
20. Reconstruction of the structure of dispersions10.1006/jcis.1996.4675 ↗
21. Fiber packing and elastic properties of a tranversely random unidirectional glass/epoxy composite10.1016/S0266-3538(99)00152-9 ↗
22. Analysis of composite materials10.1115/1.3167081 ↗
23. Elementary micromechanics of heterogeneous media
24. A micromechanics-based nonlocal constitutive equation and estimates of respesentative volume element size for elastic composites10.1016/0022-5096(96)00007-5 ↗
25. Damage initiation under transverse loading of unidirectional composites with arbitrarily distributed fibers10.1016/S0266-3538(98)00122-5 ↗
26. Correlation of microstructure variability and local stress field in two-phase materials10.1016/0921-5093(94)90497-9 ↗
27. Bounding of effective elastoplastic response of random composite
28. Micromechanical investigations of arrangement effects in particle reinforced metal matrix composites10.1016/0927-0256(94)90141-4 ↗
29. Analysis of tensile properties for a whisker-reinforced metal-matrix composite10.1016/0956-7151(90)90048-L ↗
30. Weissenbek E. Finite element modeling of discontinuously reinforced metal matrix composites vol. 18(164). Düsseldorf: VDI, 1994.
31. Böhm HJ. A short introduction to basic aspects of continuum micromechanics. CDL-FMD report 3. Vienna (Austria): Vienna University of Technology, 1998.
32. A statistical distribution function of wide applicability10.1115/1.4010337 ↗
33. A variational approach to the theory of the elastic behavior of multiphase materials10.1016/0022-5096(63)90060-7 ↗
34. Random heterogeneous media10.1115/1.3119494 ↗
35. Average stress in matrix and average elastic energy of materials with misfitting inclusions10.1016/0001-6160(73)90064-3 ↗
36. Solutions for effective shear properties in three phase sphere and cylinder models10.1016/0022-5096(79)90032-2 ↗
37. Hashin–Shtrikman bounds on the Poisson ratio of a composite material10.1016/0093-6413(92)90085-O ↗
38. Particulate fracture during deformation of a spray formed metal-matrix composite10.1007/BF02646597 ↗
39. Influence of reinforcement fracture on the cyclic stress–strain curve of metal matrix composites10.1016/0956-7151(95)00096-E ↗