Browsing by Subject "digital material representation"

Now showing 1 - 3 of 3

Access status: Open Access ,
The effect of model size and boundary conditions on the representativeness of digital material representation simulations of ferritic-pearlitic sample compression
(Wydawnictwa AGH, 2022) Perzyński, Konrad
The main objective of this work is to investigate the representativeness of the digital material representation (DMR) models of ferritic-pearlitic steel generated by the hybrid cellular automata (CA) / Monte Carlo (MC) algorithm. Particular attention is focused on determining the effect of the size of the digital representation model on its representativeness under deformation conditions simulated with the finite element (FE) framework. In addition, the effect of periodic and non-periodic boundary conditions on the deformation behaviour of DMR models is analysed. A dedicated buffer zone approach applied the periodic boundary conditions on non-periodic finite element models. The results of equivalent stresses and strains and their average values are used to evaluate the differences between the models' predictions.
Access status: Open Access ,
The role of neighborhood density in the random cellular automata model of grain growth
(Wydawnictwa AGH, 2021) Czarnecki, Michał; Sitko, Mateusz; Madej, Łukasz
The paper focuses on adapting the random cellular automata (RCA) method concept for the unconstrained grain growth simulation providing digital microstructure morphologies for subsequent multi-scale simulations. First, algorithms for the generation of initial RCA cells alignment are developed, and then the influence of cells density in the computational domain on grain growth is discussed. Three different approaches are proposed based on the regular, hexagonal, and random cells' alignment in the former case. The importance of cellular automata (CA) cell neighborhood definition on grain growth model predictions is also highlighted. As a research outcome, random cellular automata model parameters that can replicate grain growth without artifacts are presented. It is identified that the acceptable microstructure morphology of the solid material is obtained when a mean number of RCA cells in the investigated neighborhood is higher than ten.
Access status: Open Access ,
Two-dimensional hp-adaptive algorithm for continuous approximations of material data using space projection
(Wydawnictwa AGH, 2013) Gurgul, Piotr; Sieniek, Marcin; Paszyński, Maciej; Madej, Łukasz; Collier, Nathan
In this paper we utilize the concept of the $L^2$ and $H^1$ projections used to adaptively generate a continuous approximation of an input material data in the finie element (FE) base.This approximation, along with a corresponding FE mesh, can be used as material data for FE solvers. We begin with abrief theoretical background, followed by description of the hp -adaptive algorithm adopted here to improve gradually quality of the projections. We investigate also a few distinct sample problems, apply the aforementioned algorithms and conclude with numerical results evaluation.