Predicting nanoscale thermal transport in dielectrics requires models, such as the Boltzmann equation (BTE), that account for phonon boundary scattering structures with complex geometries. Although BTE has been validated against several key experiments, its computational expense limits applicability. Here, we demonstrate use of an analytic reduced-order model predicting conductivity dimensional...

We develop a reduced-order model for thin plates made of hard magnetorheological elastomers (hard-MREs), which are composed hard-magnetic particles embedded in polymeric matrix. First, we propose new magnetic potential, as an alternative to existing torque-based 3D continuum theory hard-MREs, obtained by reformulating the remnant magnetization deformed hard-MRE body. Specifically, magnetization...

Based on credibilistic value-at-risk (CVaR) of regularfuzzy variable, we introduce a new CVaR reduction method fortype-2 fuzzy variables. The reduced fuzzy variables arecharacterized by parametric possibility distributions. We establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. The convex properties of second order moments with ...