Stochastic Modeling of Microstructures

Stochastic Modeling of Microstructures
Author: Kazimierz Sobczyk
Publisher: Springer Science & Business Media
Total Pages: 275
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461201217

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This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.

Mechanics of Random and Multiscale Microstructures

Mechanics of Random and Multiscale Microstructures
Author: Dominique Jeulin
Publisher: Springer
Total Pages: 270
Release: 2014-05-04
Genre: Computers
ISBN: 3709127807

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This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.

Statistical Analysis of Microstructures in Materials Science

Statistical Analysis of Microstructures in Materials Science
Author: Joachim Ohser
Publisher: John Wiley & Sons
Total Pages: 420
Release: 2000-12-19
Genre: Mathematics
ISBN: 0471974862

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The investigation of the origin and formation of microstructures and the effect that microstructure has on the properties of materials are important issues in materials science and technology. Geometrical analysis is often the key to understanding the formation of microstructures and the resulting material properties. The authors make use of mathematical morphology, spatial statistics, image processing, stereology and stochastic geometry to analyze microstructures arising in materials science. * Quantitative microstructure analysis is one of the most successful experimental techniques in materials science * Uses examples to demonstrate the techniques * Program code included enables the reader to apply the numerous algorithms * Accessible to material scientists with limited statistical knowledge Primarily aimed at applied materials scientists, the book will also appeal to those working and researching in earth sciences, material technology, mineralogy, petrography, image analysis, cytology and biology.

Tortuosity and Microstructure Effects in Porous Media

Tortuosity and Microstructure Effects in Porous Media
Author: Lorenz Holzer
Publisher: Springer Nature
Total Pages: 198
Release: 2023-07-31
Genre: Science
ISBN: 3031304772

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This open access book presents a thorough look at tortuosity and microstructure effects in porous materials. The book delivers a comprehensive review of the subject, summarizing all key results in the field with respect to the underlying theories, empirical data available in the literature, modern methodologies and calculation approaches, and quantitative relationships between microscopic and macroscopic properties. It thoroughly discusses up to 20 different types of tortuosity and introduces a new classification scheme and nomenclature based on direct geometric tortuosities, indirect physics-based tortuosities, and mixed tortuosities (geometric and physics-based). The book also covers recent progress in 3D imaging and image modeling for studying novel aspects of tortuosity and associated transport properties in materials, while providing a comprehensive list of available software packages for practitioners in the community. This book is a must-read for researchers and students in materials science and engineering interested in a deeper understanding of microstructure–property relationships in porous materials. For energy materials in particular, such as lithium-ion batteries, tortuosity is a key microstructural parameter that can greatly impact long-term material performance. Thus, the information laid out in this book will also greatly benefit researchers interested in computational modeling and design of next-generation materials, especially those for sustainability and energy applications.

Random Heterogeneous Materials

Random Heterogeneous Materials
Author: Salvatore Torquato
Publisher: Springer Science & Business Media
Total Pages: 720
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475763557

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This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Continuous Media with Microstructure

Continuous Media with Microstructure
Author: Bettina Albers
Publisher: Springer Science & Business Media
Total Pages: 384
Release: 2010-03-15
Genre: Science
ISBN: 3642114458

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This book discusses the extension of classical continuum models. To the first class addressed belong various thermodynamic models of multicomponent systems, and to the second class belong primarily microstructures created by phase transformations.

Carbon Nanotube-Reinforced Polymers

Carbon Nanotube-Reinforced Polymers
Author: Roham Rafiee
Publisher: Elsevier
Total Pages: 588
Release: 2017-10-06
Genre: Science
ISBN: 0323482228

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Carbon Nanotube-Reinforced Polymers: From Nanoscale to Macroscale addresses the advances in nanotechnology that have led to the development of a new class of composite materials known as CNT-reinforced polymers. The low density and high aspect ratio, together with their exceptional mechanical, electrical and thermal properties, render carbon nanotubes as a good reinforcing agent for composites. In addition, these simulation and modeling techniques play a significant role in characterizing their properties and understanding their mechanical behavior, and are thus discussed and demonstrated in this comprehensive book that presents the state-of-the-art research in the field of modeling, characterization and processing. The book separates the theoretical studies on the mechanical properties of CNTs and their composites into atomistic modeling and continuum mechanics-based approaches, including both analytical and numerical ones, along with multi-scale modeling techniques. Different efforts have been done in this field to address the mechanical behavior of isolated CNTs and their composites by numerous researchers, signaling that this area of study is ongoing. Explains modeling approaches to carbon nanotubes, together with their application, strengths and limitations Outlines the properties of different carbon nanotube-based composites, exploring how they are used in the mechanical and structural components Analyzes the behavior of carbon nanotube-based composites in different conditions