This paper studies the homogenization of quasi-static and nonlinear Maxwell’s equations in grain-oriented (GO) silicon steel laminations. GO silicon steel laminations have multiple scales and the ratio of the largest scale to the smallest scale can be up to 106. Direct solution of three-dimensional nonlinear Maxwell’s equations is very challenging and unrealistic for large electromagnetic devic...

We introduce models for static and quasi-static damage in elastic materials, based on a strain threshold, and then investigate the relationship between these threshold models and the energy-based models introduced in [17] and [15]. A somewhat surprising result is that, while classical solutions for the energy models are also threshold solutions, this is not the case for nonclassical solutions, ...

This paper presents a synthesis approach for reactive systems that aims at minimizing the overhead introduced by the operating system and the interaction among the concurrent tasks, while considering multiple concurrent execution resources. A formal model based on the notion of scheduling of Petri nets is used to perform the synthesis. We show how the notion of projections of a schedule for the...

An existence result for the quasi-static evolution of incomplete damage in elastic materials is presented. The absence of gradient terms in the damage variable causes a critical lack of compactness. Therefore, the analysis is developed in the framework of Young measures, where a notion of solution is defined, presenting some improvements with respect to previous contributions. The main new feat...

We present the theory behind a novel unsupervised method for discovering quasi-static objects, objects that are stationary during some interval of observation, within image sequences acquired by any number of uncalibrated cameras. For each pixel we generate a signature that encodes the pixel’s temporal structure. Using the set of temporal signatures gathered across views, we hypothesize a globa...

The algebra of the integral potential (pot) operator, in combination with the usual differential operators, is briefly discussed. The main algebraic results are simple, easily remembered and of interest in themselves. A particularly important result is the operational equation that shows the separation of any vector field into two unique partial fields, one having zero curl and the other zero d...

As SRAMs continue to grow and comprise larger percentages of the area and power consumption in advanced systems, the need to minimize static currents becomes essential. This brief presents a novel 9T Quasi-Static RAM Bitcell that provides aggressive leakage reduction and high write margins. The quasi-static operation method of this cell, based on internal feedback and leakage ratios, minimizes ...

We compare the roughness of minimal energy(ME) surfaces and scalar “quasi-static” fracture surfaces(SQF). Two dimensional ME and SQF surfaces have the same roughness scaling, w ∼ L (L is system size) with ζ = 2/3. The 3-d ME and SQF results at strong disorder are consistent with the randombond Ising exponent ζ(d ≥ 3) ≈ 0.21(5 − d) (d is bulk dimension). However 3-d SQF surfaces are rougher than...

Vertical differencing is a very different problem from horizontal differencing. This may seem odd, but the explanation is very simple. There are three primary factors. First, gravitational effects are very powerful, and act only in the vertical. Second, the Earth's atmosphere is very shallow compared to its horizontal extent. Third, the atmosphere has a lower boundary. To construct a vertically...