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Publications
Publications (16)
In this study, the authors performed a strength analysis of seven groups of commercially available materials based on SLS incremental technology. Test samples were made with Original PRUSA SL1S printers, with 10 samples of each type from 7 resins selected for testing. The tests were carried out on an MTS Bionix machine in a static tensile test, dur...
Multiplicative version of Hénon map was examined for chaotic behaviour. Lyapunov exponents were evaluated and bifurcation diagram was constructed.
In this paper Movable Cellular Automata and fractal geometry are applied to examine defects growth in porous ceramic specimens.
The Movable Cellular Automata method is applied in numerical simulations of compression loading of ceramic specimens. It allows a continuous monitoring material processes and gives physical picture of defects over the meso...
Our goal is construction of suitable model to examine the fibre structure in composite specimens to achieve weight efficient structures with high strength. In this paper model of fibre breaking based on cellular automata technique was presented and applied in NOL composite specimens. Acoustic emission was used to verify results.
The Movable Cellular Automata (MCA) method is usually applied for
modelling behaviour of elastic, brittle and granular material under
various modes of mechanical loading. This paper presents principles and
results of numerical simulations experiments of elastic and plastic
material behaviour with this method.
In this paper numerical investigations of the ceramics behaviour have been conducted under quasi-static various loading conditions by application of the Movable Cellular Automata (MCA) method. The paper presents results of simulations of ceramic specimens with and without pores under compression, torsion and torsion of compressed specimens. Weibull...
The Movable Cellular Automata (MCA) method is used to modelling a
behaviour of ceramics under various modes of mechanical loading.
Ceramics have many advantages, such as high strength, chemical stability
and low density, which are accompanied with low fracture toughness
compared to metallic materials. The majority of ceramic strength and
fracture i...
Ceramics is widely used material in engineering practice because of its great strength, high heat resistance and low density. The strength is a subject of our investigations. It can be significantly decreased by small defects, such as scratches, inclusions, pores, and surface roughness. The aim of this article is to demonstrate an application of th...
This paper presents numerical methods of modelling composites, which allow observation of fibre breaking during static loads without using invasive experimental methods. Our simulations are based on cellular automata, which is an alternative method to study behaviour of dynamical systems. We assume defects evolution in composite as a dynamical syst...
Method called movable cellular automata (MCA) is used to modelling a process of defects growth in elastic‐brittle material.
Fractures is one of the main problem in the strength material research. Chosen elastic‐brittle material is Beryllium Oxide BeO. Simulations of samples containing hundreds of thousands cellular automata may generate problem in...
The goal of the paper is chaos examination in multiplicative systems. The paper collects results of numerical simulations as well as presentation of meth- ods applicable in the case of multiplicative systems. Chaos examination concerns one-dimensional multiplicative version of logistic equation and multi-dimensional nonlinear system described with...
With appropriate numerical methods of composites modelling we can observe defects growth without using invasive experimental methods. In this paper we present results of simulation of quasi-static process of fracture in composite using cellular automata and fractal characteristics of defects growth based on box-counting method. Defects evolution in...
This paper presents analysis of Lyapunov type stability for multiplicative dynamical systems. It has been formally defined
and numerical simulations were performed to explore nonlinear dynamics. Chaotic behavior manifested for exemplary multiplicative
dynamical systems has been confirmed by calculated Lyapunov exponent values.
The results of physical stability calculations are presented. The simple model based on single fractal approximation is unstable and therefore the new model was constructed. It contains higher order expansion of energy, which describes interaction between defects and express inhomogeneity of energy accumulated on defects. Derivation was based on si...
Numerical multiplicative algorithm of Runge–Kutta type for solving multiplicative differential equations is presented. The
multiplicative Rössler system has been briefly examined to test the method proposed.
The multiplicative version of the classical Lorenz system has been examined and compared with the additive counterpart. Necessary minor modifications are proposed.