Abstract
This work concerns a multiscale analysis of nano-reinforced heterogeneous materials. Such materials exhibit surface effects that must be taken into account in the homogenization procedure. In this study, a coherent imperfect interface model was employed to characterize the jumps of mechanical properties through the interface region between the matrix and the nanofillers. As the hypothesis of scale separation was adopted, a generalized self-consistent micromechanical scheme was employed for the determination of the homogenized elastic moduli. An explicit calculation for the determination of effective shear modulus is presented, together with a numerical application illustrating the surface effect. It is shown that the coherent imperfect interface model is capable of exploring the surface effect in nano-reinforced materials, as demonstrated experimentally in the literature.
Highlights
Composite or composite material consists of at least two elementary phases [1,2,3,4]
In the wake of the previous section’s presentation of the problem of the surface elasticity so that the jumps of mechanical values through the interface are almost equal to the jumps of the same values through the interface region, we present a general and systematic approach based on asymptotic analysis to establish imperfect interface models
We offer the choice of surface elastic properties κs and μs for numerical application
Summary
Composite or composite material consists of at least two elementary phases [1,2,3,4]. Perhaps the most widely discussed aspect of nanocomposites is the existence of a disturbed region of the matrix surrounding the nanoinclusions, called the interface region, due to the nature of adhesion between the elementary phases in the nanocomposite. This observation has been made in the literature in a range of experimental [10,11] and numerical [12,13] works.
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