Abstract This paper presents an approach for deriving the continuum sensitivity of superconducting systems operating at critical current densities and optimization method based on sensitivity. In problem, is represented by a variational state equation, wherein magnetic permeability depends field, which transformed from equation with field-dependent source. The design derived using material deri...

This paper presents an efficient multiscale stochastic framework for uncertainty quantification in modeling of flow through porous media with multiple rock types. The governing equations are based on Darcy’s law with nonstationary stochastic permeability represented as a sum of local Karhunen-Loève expansions. The approximation uses stochastic collocation on either a tensor product or a sparse ...

We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two “uncertainty principles.” First, the stronger the magnetic response (the deviation of the effective permeability tensor from identity), the less accurate (“certain”) the predictions of any homogeneous model. Second, if the magnetic response is strong, then homog...

We report here on a non-linear poroelastic model for the mechanical response of collagenous soft tissues such as articular cartilage. The tissue consists of a porous, fibril-reinforced, hyperelastic solid, saturated with an incompressible fluid, and Darcy's law governs solid-fluid interaction. The solid matrix is characterized by the isotropic hyperfoam strain energy function and its permeabili...

Scaling up highly heterogeneous aperture distributions of fractures into equivalent permeability tensors enables a substantial reduction in the computational cost simulating fluid flow fractured porous media by allowing employment coarser grids while keeping accuracy an explicit model. This work proposes adaptation and application conditional generative adversarial networks (CGAN) for upscaling...

Abstract Using the method of numerical modeling, stability mine working under difficult conditions crossing a tectonic fault was studied as well effectiveness using steel rock bolts in combination with injection bolts. It shown that and complemented each other very well, increasing reducing permeability host rocks. Injection exclude possibility destruction rocks more effectively reduce disturbe...

BACKGROUND In vivo preclinical imaging of spinal cord injury (SCI) in rodent models provides clinically relevant information in translational research. This paper uses multimodal magnetic resonance imaging (MRI) to investigate neurovascular pathology and changes in blood spinal cord barrier (BSCB) permeability following SCI in a mouse model of SCI. METHODS C57BL/6 female mice (n = 5) were sub...

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in classical mechanics, considering hook’s law stress is a linear function of strain. while in strain gradient theory stress is a function of strain and strain differentials. in this paper, novel formulation relating stress and strain and also new boundary conditions are derived based on minimum potential energy principle. in strain gradient theory a length coefficient parameter is defined. thi...

in this paper two nodes to model isotropic and anisotropic media in transmission line matrix method (tlm) are presented. by using these two nodes, the permeability and permittivity of an anisotropic media can be modeled simultaneously. another application of these nodes is in modeling media with permittivity and permeability less than one. in the conventional 2 dimensional tlm, the stubs repres...