We present a new method of deriving microstructure-dependent bounds on the effective properties of general heterogeneous media. The microstructure is specified by the average Eshelby tensors. In the small contrast limit, we introduce and calculate the expansion coefficient tensors. We then show that the effective tensor satisfies a differential inequality with the initial condition given by the...

Electron microscopy (EM) is one of the key experimental techniques in modern structural biology[4]. Three-dimensional structures of large macro-molecular complexes can be solved by EM which otherwise would be impossible using X-ray crystallography or NMR. A common reconstruction technique, from 2D EM images to 3D structure, assigns 2D images to 2D projections of some initial 3D template[5, 1]. ...

Making use of the virtual work method, a mechanical multiphase model for reinforced materials is developed. Matrix and reinforcement are continuously distributed. The work of internal forces accounts for the matrix three-dimensional and inclusions onedimensional characteristics and for their interaction as well. The corresponding equations of motion and associated boundary conditions are deduce...

340 Numerical modeling approaches for multiphase fl ow and tracer or chemical transport in porous media are generally based on methodologies developed for reservoir simulation and groundwater modeling. They involve solving coupled massconservation equations that govern the transport processes of all chemical components in isothermal and nonisothermal subsurface systems using fi nite-difference ...

The nonparametric estimation(NE) of kernel polynomial regression (KPR) model is a powerful tool to visually depict the effect of covariates on response variable, when there exist unstructured and heterogeneous data. In this paper we introduce KPR model that is the mixture of nonparametric regression models with bootstrap algorithm, which is considered in a heterogeneous and unstructured framewo...

abstract: compaction under tractors tires is of special concern because the weight of these machines has increased dramatically in the last years. these machines and others associated with crop cultural practices weight enough to significantly compact the soil, especially if the soil is soft with high moisture content during tilling, planting, or harvesting. the stress distribution and the size...

This paper presents a large-scale modeling study characterizing fluid flow and tracer transport in the unsaturated zone of Yucca Mountain, Nevada, a potential repository site for storing high-level radioactive waste. The study has been conducted using a three-dimensional numerical model, which incorporates a wide variety of field data and takes into account the coupled processes of flow and tra...