Multiscale Modelling and Optimisation of Materials and Structures. Tadeusz Burczynski
using the Monte Carlo algo...Figure 4.44 The Monte Carlo grain growth simulation for kT = 6, Q = 50; von ...Figure 4.45 A digital material representation model for the polycrystalline ...Figure 4.46 The use case diagram with basic functional requirements.Figure 4.47 Sequence diagram presenting the role of the wrapper in the appli...Figure 4.48 Neighbourhood classes and their relations.Figure 4.49 Original image of the microstructure from an optical microscope ...Figure 4.50 An original image from EBSD analysis and a reconstructed image o...Figure 4.51 An original image from optical microscopy and equivalent process...Figure 4.52 The histograms of various images of microstructures of the DP st...Figure 4.53 An original image of a two‐phase material with the result of ext...Figure 4.54 Flow stress models for different phases in steel [2, 15].
5 Chapter 5Figure 5.1 The idea of a distinction between upscaling models and concurrent...Figure 5.2 The idea of MS‐XFE scale decomposition.Figure 5.3 Division of domain applied by [53].Figure 5.4 Material division to non‐representative and representative atoms....Figure 5.5 Structure of the nanoscale–microscale model.Figure 5.6 Interfaces with (a) one subregion and (b) two subregions.Figure 5.7 The flowchart of solving the multiscale model.Figure 5.8 The BEM model with internal points.Figure 5.9 The plate with the rectangular notch: (a) continuum BEM model and...Figure 5.10 Continuum‐discrete model of the plate with the rectangular notch...Figure 5.11 Results of the simulation: (a) deformed plate and (b) close‐up o...Figure 5.12 The plate with the V‐notch: (a) continuum BEM model and (b) disc...Figure 5.13 Continuum‐discrete molecular model of the plate with the V‐notch...Figure 5.14 Results of the simulation: (a) deformed plate and (b) close‐up o...Figure 5.15 Separation of the atomic lattice from the BEM model.Figure 5.16 The plate with the U‐notch (a), and different types of an interf...Figure 5.17 Results of the simulation – close‐up of the deformed interior of...Figure 5.18 Convergence of the solution.Figure 5.19 The idea of the CAFE approach with the information flow between ...Figure 5.20 Schematic illustration of the CAFE model.Figure 5.21 Comparison of the frequency of the grain size obtained from the ...Figure 5.22 Geometrical representation of the obtained dual‐phase microstruc...Figure 5.23 CCT diagram obtained from measurements (filled symbols) and calc...Figure 5.24 Illustration of the developed multiscale strain localization CAF...Figure 5.25 Strain distribution predicted by the FE and CAFE models after th...
6 Chapter 6Figure 6.1 Average binding energies of the Morse clusters.Figure 6.2 The second difference of the binding energy of the Morse clusters...Figure 6.3 Average binding energies of the MM clusters.Figure 6.4 The second difference of the binding energy of the MM clusters.Figure 6.5 Super stable configurations of atoms: (a) tetrahedron N = 4, (b) ...Figure 6.6 N = 20 and N = 21 clusters.Figure 6.7 N = 29 Morse cluster.Figure 6.8 N = 9 structures: (a) global minimum of the Morse cluster (E B = 0...Figure 6.9 Two‐dimensional, periodic carbon networks: (a) graphene, (b) grap...Figure 6.10 Structure of a chromosome.Figure 6.11 Block diagram of the memetic optimization algorithm.Figure 6.12 New carbon network X found by the optimization algorithm: (a) st...Figure 6.13 Progress of minimization of the total potential energy for the c...Figure 6.14 Stress–strain relation – horizontal direction for the carbon net...Figure 6.15 Stress–strain relation – vertical direction for the carbon netwo...Figure 6.16 New carbon network Y found by the optimization algorithm: (a) st...Figure 6.17 Progress of minimization of the total potential energy for carbo...Figure 6.18 Stress–strain relation – horizontal direction for the carbon net...Figure 6.19 Stress–strain relation – vertical direction for the carbon netwo...Figure 6.20 Multiscale optimization of a 2D structure: (a) the analyzed 2D b...Figure 6.21 The best result of optimization (a) after the first generation a...Figure 6.22 Elastic body with microstructure reinforcements: (a) model with ...Figure 6.23 Microstructure reinforcement modelled by means of NURBS.Figure 6.24 Microstructure (a) reference solution and (b) the best‐obtained ...Figure 6.25 Distribution of resultant displacements for the best solution of...Figure 6.26 The structure with local periodical microstructures.Figure 6.27 Microstructure with a circular inclusion with diameter d.Figure 6.28 Considered structure: (a) geometry with dimensions and (b) bound...Figure 6.29 Distribution of resultant displacements in the body after optimi...Figure 6.30 Sensors in (a) the real object and (b) the computational model....Figure 6.31 The considered model of the clamped rectangular shell: (a) macro...Figure 6.32 The macromodel (a) and micromodel (b) for the fibre’s shape iden...Figure 6.33 The results of identification.Figure 6.34 The objective function value versus the first design variable (w...Figure 6.35 The square plate made with a porous material: (a) macromodel und...Figure 6.36 Results of identification of voids in microstructures. Reference...Figure 6.37 Changes of identification functional values with respect to a nu...
7 Chapter 7Figure 7.1 The master optimization algorithm and slave direct problem solver...Figure 7.2 The master direct problem and slave optimization algorithm.Figure 7.3 Visualization of the microstructure using ParaView software.Figure 7.4 Visualization of the digital microstructure using VisIt software....Figure 7.5 The architecture of the proposed solution.Figure 7.6 Results of the visualization on the GPU cluster with different le...Figure 7.7 View of the Yin‐Yang mesh, which is composed of two Yin and Yang ...Figure 7.8 Visualization of snow: the texture of a single particle (a) and s...Figure 7.9 Views of spheres built from a various number of points.Figure 7.10 Visualization of the particles. Building the sphere from points ...Figure 7.11 Visualization of the material microstructure generated using CA ...Figure 7.12 Cycle of visualization from coarse to fine scale.Figure 7.13 The idea of the division into geometrical sections.Figure 7.14 Management of the data in the background.Figure 7.15 Loading of the processors during visualization with casual data ...Figure 7.16 Simplification of the visualization of the particles.Figure 7.17 View of the section from inside.Figure 7.18 Numbering of the sections.Figure 7.19 The idea of the data preprocessing for visualization of the mate...Figure 7.20 The role of the metadata file (right column) for the inside file...Figure 7.21 Visualization of the microstructure using the method of (a) draw...Figure 7.22 Visualization of the microstructure using GL_POINT_SPRITE (a) an...Figure 7.23 Visualization of subsequent length scales of material structures...Figure 7.24 Data size used to visualize cube, an object composed of spheres ...
Guide
4 Preface
8 Index
9 WILEY END USER LICENSE AGREEMENT
Pages
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