The safe design of primary load-bearing structures requires accurate prediction of stresses, especially in the vicinity of geometric discontinuities where deleterious three-dimensional stress fields can be induced. Even for thin-walled structures significant through-thickness stresses arise at edges and boundaries, and this is especially precarious for laminates of advanced fibre-reinforced com...

In 1970, Donald Ornstein proved a landmark result in dynamical systems, viz., two Bernoulli systems with the same entropy are isomorphic except for a measure 0 set [8]. Keane and Smorodinsky [6] gave a finitary proof of this result. They also indicated how one can generalize the result to mixing Markov Shifts in [5]. We adapt the construction given in [6] to show that if two computable mixing M...

Large-scale chaotic stirring stretches tracer contours into filaments containing fine spatial scales until smallscale diffusive processes dissipate tracer variance. Quantification of tracer transport in such circumstances is possible through the use of Nakamura’s ‘‘effective diffusivity’’ diagnostics, which make clear the controlling role of stirring, rather than small-scale dissipation, in lar...

There is a growing research and production interest for the application of lower-cost hybrid cross-laminated timber (CLT) panels composed layers dissimilar quality. Therefore, an approach design cost-effective CLT in bending, based on existing analytical novel finite element procedures, presented paper. The gamma-method, extended gamma method, composite theory are applied analysis square panels...

Loss landscape analysis is extremely useful for a deeper understanding of the generalization ability deep neural network models. In this work, we propose layerwise loss where surface at every layer studied independently and also on how each correlates to overall surface. We study by studying eigenspectra Hessian layer. particular, our results show that geometry largely similar entire Hessian. r...

Laminated glass elements, which consist of stiff elastic glass layers connected with a compliant viscoelastic polymer foil, exhibit geometrically non-linear and time/temperature-sensitive behavior. In computational modeling, the viscoelastic effects are often neglected or a detailed continuum formulation typically based on the volumetric-deviatoric elastic-viscoelastic split is used for the int...

Pre-training is crucial for learning deep neural networks. Most of existing pre-training methods train simple models (e.g., restricted Boltzmann machines) and then stack them layer by layer to form the deep structure. This layerwise pre-training has found strong theoretical foundation and broad empirical support. However, it is not easy to employ such method to pre-train models without a clear ...