Journal ArticleDOI
Elastic Moduli of Composites Reinforced by Multiphase Particles
Martin L. Dunn,Hassel Ledbetter +1 more
TLDR
In this paper, a theoretical approach is proposed to estimate the elastic moduli of three-phase composites consisting of a matrix phase reinforced by two-phase particles, based on a simple extension to nondilute concentrations of the mechanical concentration factors obtained from the recent analysis of the average elastic fields in a double inclusion by Hori and Nemat-Nasser (1993).Abstract:
A theoretical approach is proposed to estimate the elastic moduli of three-phase composites consisting of a matrix phase reinforced by two-phase particles. The theoretical predictions are based on a simple extension to nondilute concentrations of the mechanical concentration factors obtained from the recent analysis of the average elastic fields in a double inclusion by Hori and Nemat-Nasser (1993). The proposed micromechanics theory can account for the effects of shapes and concentrations of both the particles and the dispersed phase in the particles. Theoretical estimates of the concentration factors and the effective elastic moduli are obtained in closed form and are diagonally symmetric and fall within the Hashin-Shtrikman-Walpole bounds for all cases considered. The theoretical predictions are in excellent agreement with experimental results obtained from pulse-echo and rod-resonance measurements of the elastic moduli of a three-phase composite consisting of an aluminum matrix reinforced by mullite/alumina particles.read more
Citations
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Journal ArticleDOI
Modeling of the mechanical properties of nanoparticle/polymer composites
TL;DR: In this paper, a continuum-based elastic micromechanics model is developed for silica nanoparticle/polyimide composites with various polyimide interfacial treatments.
Journal ArticleDOI
Mechanical properties of carbon nanotube/polymer composites
TL;DR: A new method for evaluating the elastic properties of the interfacial region is developed by examining the fracture behavior of carbon nanotube reinforced poly (methyl methacrylate) matrix composites under tension using molecular dynamics simulations.
Journal ArticleDOI
Electric energy density of dielectric nanocomposites
TL;DR: In this paper, the authors analyzed the effective permittivity, breakdown strength, and electric energy density of dielectric nanocomposites using an effective medium approximation, modeling the nanocompositionite as a three-phase material by the double-inclusion method.
Journal ArticleDOI
Thermo-mechanical properties of LLDPE/SiO2 nanocomposites
TL;DR: In this paper, two series of linear low density polyethylene (LLDPE)/SiO2 nanocomposites were prepared, and the effect of nanoparticles on crystallinity, and hence to the morphology of the materials was studied.
Journal ArticleDOI
Characterizing elastic properties of carbon nanotubes/polyimide nanocomposites using multi-scale simulation
TL;DR: In this article, the elastic properties of carbon nanotubes (CNTs) reinforced polyimide nanocomposites using a multi-scale simulation approach were characterized using a transverse isotropic solid.
References
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Journal ArticleDOI
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
Journal ArticleDOI
The Elastic Behaviour of a Crystalline Aggregate
TL;DR: The connection between the elastic behavior of an aggregate and a single crystal is considered in this article, with special reference to the theories of Voigt, Reuss, and Huber and Schmid.
Journal ArticleDOI
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
Journal ArticleDOI
A variational approach to the theory of the elastic behaviour of multiphase materials
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
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Average stress in matrix and average elastic energy of materials with misfitting inclusions
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