Concurrent multiscale modeling of three dimensional crack and dislocation propagation

Benchmarking the penetration-resistance efficiency of multilayer graphene sheets due to spacing the graphene layers

“…It should be mentioned that, except in the areas of direct contact between surfaces (where the effect of friction is modeled with the inclusion of some impacts), in the above equations, the viscous friction force f D i is uniformly applied to the atoms inside the IVs and UVs [27]. A same strategy could be observed in [28].…”

Mechanical Properties of Nanoclay and Nanoclay Reinforced Polymers: A Review

“…The coupling of molecular space to continuum domain is accomplished through bridging domain methods which can be recognized as the main challenge of these methods. Transferring structure‐property relations from molecular level to continuum level is considered as the most challenging issue in multi‐scale modeling of nanocomposites where it is necessary to conciliate encountered length and time scales over several orders of magnitudes . Recently, a multi‐scale model bridging length and time scales from molecular to continuum levels wherein nanoscale simulations obtained from MDs were homogenized to a continuum constitutive model for resin .…”

Multiscale dynamic fracture behavior of the carbon nanotube reinforced concrete under impact loading

“…Unfortunately, classical continuum theories cannot predict such complex behavior and more advanced methods should be adopted. Recently, several advanced computational methods such as meshfree [11][12][13][14][15] and multiscale methods were developed for fracture analysis [16,17] and crack propagation [18,19] in homogenous and heterogeneous materials. They estimated the material properties at the finer scales and used them as input parameters for the coarser one.…”