Adaptive Multi-scale Modeling Error Estimation for Composites

An Adaptive Multi - Scale Computational Method for Modeling

In this dissertation a coupled multi-scale computational model for simulating nonlinear deformation processes in crystalline metals at finite temperatures is developed. The computational model uses the finite element method to model the coarse scale response of the material. The constitutive response in the finite element will be modeled through interatomic potentials acting on the underlying h...

Scale-Adaptive Orientation Estimation

This paper focuses on directional textures. It provides a new framework for the design of convolution masks dedicated to orientation estimation and an adaptive algorithm which chooses the best mask size for each pixel. The design of the adaptive algorithm is based on the combination of two complementary operators: a gradient based operator which is adapted to sloped regions and a valleyness det...

Adaptive search area for fast motion estimation

In this paper a new method for determining the search area for motion estimation algorithm based on block matching is suggested. In the proposed method the search area is adaptively found for each block of a frame. This search area is similar to that of the full search (FS) algorithm but smaller for most blocks of a frame. Therefore, the proposed algorithm is analogous to FS in terms of reg...

Two-scale damage modeling of brittle composites

This paper is aimed at developing a non-local theory for obtaining a numerical approximation to a boundary-value problem describing damage phenomena in a ceramic composite material. The mathematical homogenization method based on double-scale asymptotic expansion is generalized to account for damage effects in heterogeneous media. A closed-form expression relating local fields to the overall st...

Modeling Error Estimation and Goal-Oriented Adaptive Modeling of Perforated Materials