The principal challenge in implementation of random fields arises from the need for determination of their correlation/characteristic lengths in the simplest case or more [...]

In order to design an optimal experimental setup the designers have to take into account uncertainties connected to the investigated system. The input random factors asso [...]

In specific fields of research such as treatment of historical structures, medical imaging, material science, geophysics and others, it is of particular interest to perfo [...]

In this contribution, we present the concept of replacing periodic unit cell (PUC) with a set of specifically designed cells and their utilization for modeling of materia [...]

Currently the Bayesian inference becomes increasingly popular and more widespread approach to parameter identification, which allows to estimate values of input parameter [...]

Homogenization methods are becoming the most popular approach to modelling of heterogeneous materials. The main principle is to represent the heterogeneous microstructure [...]

Widely used strategy to assess the sensitivity is based on a set of simulations for a given sets of input parameters, i.e. points in the design space. The accuracy of the [...]

In this contribution we present our new approach to obtain or better estimate mechanical fields (strain, stress and displacement) inside isotropic infinite body with elli [...]

Macroscopically heterogeneous materials, characterized mostly by comparable heterogeneity lengthscale and structural sizes, can no longer be modelled by deterministic app [...]

Many important parameters influencing structural behaviour involve unacceptable uncertainties. An extensive development of efficient methods for stochastic modelling enab [...]