A lattice model based on polymer self-consistent field theory is developed to predict the equilibrium statistics of arbitrary polymer networks. For a given network topology, our approach uses moment propagators on a lattice to self-consistently construct the ensemble of polymer conformations and cross-link spatial probability distributions. Remarkably, the calculation can be performed "in the d...

Convolutional Neural Networks (CNNs) define an exceptionally powerful class of models for image classification, but the theoretical background and the understanding of how invariances to certain transformations are learned is limited. In a large scale screening with images modified by different affine and nonaffine transformations of varying magnitude, we analyzed the behavior of the CNN archit...

The fundamental instability responsible for the shear localization which results in shear bands in amorphous solids remains unknown despite an enormous amount of research, both experimental and theoretical. As this is the main mechanism for the failure of metallic glasses, understanding the instability is invaluable in finding how to stabilize such materials against the tendency to shear locali...

This article studies the robust bipartite consensus problems for heterogeneous nonlinear nonaffine discrete-time multiagent systems (MASs) with fixed and switching topologies against data dropout unknown disturbances. The controlled system’s virtual linear model is first developed by employing pseudopartial derivative technique, a distributed combined measurement error function established util...

The effect of cyclic shear deformation on structural relaxation and yielding in binary glasses was examined using molecular dynamics simulations. We studied a mixture slowly cooled from the liquid phase to about half glass transition temperature then periodically deformed at small strain amplitudes during thousands cycles. found that potential energy decays logarithmically upon increasing numbe...

This paper solves the problem of herding countless evaders by means a few robots. The objective is to steer all towards desired tracking reference while avoiding escapes. very challenging due highly complex repulsive evaders’ dynamics and underdetermined states control. We propose solution that based on Implicit Control novel dynamic assignment strategy select be directly controlled. former gen...