On the variable length scale parameter for agglomeration of nanoparticles in nanocomposites

Since nanocomposites have recently been used in a wide range of industries, scientists are becoming increasingly interested in simulating these kinds of materials. Engineers are interested in outcomes that match simulations of nanocomposites. Examining the impact of nanoparticle aggregation in computations is one step in accurately modeling a reinforced nanocomposite. With regard to size-dependent continuum modeling, this work aims to evaluate the dynamic behavior of small-scaled composites reinforced with carbon nanotubes (CNTs) in light of CNT aggregations. In the simulation of nanotube-reinforced micro- or nanocomposite, taking into account one or more length scale parameters—which are typically thought to have a constant value—is crucial. This work is innovative in that it examines how nanoparticle aggregation affects nanocomposite structure while considering a variable length scale parameter. We address and solve an example using the modified couple stress theory (MCST). The effectiveness of employing the length scale parameter (LSP) of MCST is confirmed by conducting a comparison between the outcomes of the proposed strategy and experimental and molecular dynamic (MD) simulation results. A curved microbeam is examined for the problem, and the impact of alterations in the agglomeration parameters is investigated in detail.