A Strong-contrast Statistical Theory for the Effective Properties in Heterogeneous Media PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Strong-contrast Statistical Theory for the Effective Properties in Heterogeneous Media PDF full book. Access full book title A Strong-contrast Statistical Theory for the Effective Properties in Heterogeneous Media by Amine Mikdam. Download full books in PDF and EPUB format.
Author: Amine Mikdam Publisher: ISBN: Category : Languages : en Pages : 240
Book Description
Heterogeneities of materials may be due either to different atomic or molecular organization in the same material (semi-crystalline polymer or polycrystals), or to the presence of different constituents (composite materials). To determine the physical properties of these materials, experimentations, although expensive, is still necessary. Other disadvantages such as difficulty of implementing experimental procedures complicate the work of the researchers and engineers. Therefore modeling the effective properties using analytical models is positioned as a performance alternative to facilitate the understanding of the behavior of these heterogeneous materials. Many analytical models based on the volume fraction of each phase are used to predict the effective properties of heterogeneous materials. However, these models are based on different geometrical simplifications of the real material's microstructure. This work investigates the modeling of effective conductivity (electrical or thermal) of heterogeneous materials using statistical continuum theory. This methods use probability functions to take into account the microstructure distribution, shape of constituents and their orientations.
Author: Amine Mikdam Publisher: ISBN: Category : Languages : en Pages : 240
Book Description
Heterogeneities of materials may be due either to different atomic or molecular organization in the same material (semi-crystalline polymer or polycrystals), or to the presence of different constituents (composite materials). To determine the physical properties of these materials, experimentations, although expensive, is still necessary. Other disadvantages such as difficulty of implementing experimental procedures complicate the work of the researchers and engineers. Therefore modeling the effective properties using analytical models is positioned as a performance alternative to facilitate the understanding of the behavior of these heterogeneous materials. Many analytical models based on the volume fraction of each phase are used to predict the effective properties of heterogeneous materials. However, these models are based on different geometrical simplifications of the real material's microstructure. This work investigates the modeling of effective conductivity (electrical or thermal) of heterogeneous materials using statistical continuum theory. This methods use probability functions to take into account the microstructure distribution, shape of constituents and their orientations.
Author: Antonio J.M. Ferreira Publisher: Società Editrice Esculapio ISBN: 8874889631 Category : Technology & Engineering Languages : en Pages : 204
Book Description
Composites materials have aroused a great interest over the last few decades. Several applications of fibrous composites, functionally graded materials, laminated composites, nano-structured reinforcements, morphing structures, can be found in many engineering fields, such as aerospace, mechanical, naval and civil engineering. The necessity of lightweight structures, smart and adaptive systems, high-level strength, have led both the academic research and the manufacturing development to a recurring employment of these materials. Many journal papers and technical notes have been published extensively over the last seventy years in international scientific journals of different engineering fields. For this reason, the establishment of this second edition of Mechanics of Composites International Conference has appeared appropriate to continue what has been begun during the first edition occurred in 2014 at Stony Brook University (USA). MECHCOMP wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures. As a proof of this event, which has taken place in Porto (Portugal), selected plenary and key-note lectures have been collected in the present book.
Book Description
Applied RVE Reconstruction and Homogenization of Heterogeneous Materials Statistical correlation functions are a well-known class of statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in nanocomposite materials. Correlation functions are measured from different techniques such as microscopy (SEM or TEM), small angle X-ray scattering (SAXS) and can be generated through Monte Carlo simulations. In this book, different experimental techniques such as SAXS and image processing are presented, which are used to measure two-point correlation function correlation for multi-phase polymer composites. Higher order correlation functions must be calculated or measured to increase the precision of the statistical continuum approach. To achieve this aim, a new approximation methodology is utilized to obtain N-point correlation functions for multiphase heterogeneous materials. The two-point functions measured by different techniques have been exploited to reconstruct the microstructure of heterogeneous media. Statistical continuum theory is used to predict the effective thermal conductivity and elastic modulus of polymer composites. N-point probability functions as statistical descriptors of inclusions have been exploited to solve strong contrast homogenization for effective thermal conductivity and elastic modulus properties of heterogeneous materials. Finally, reconstructed microstructure is used to calculate effective properties and damage modeling of heterogeneous materials.
Author: Majid Baniassadi Publisher: Elsevier ISBN: 0443189927 Category : Science Languages : en Pages : 453
Book Description
Applied Micromechanics of Complex Microstructures explains the fundamental concepts of continuum modeling of various complicated microstructures, covering nanocomposites, multiphase composites, biomaterials, biological materials, and more. The authors outline the calculation of effective mechanical and thermal properties, allowing readers to understand the step-by-step modeling and homogenization of complicated microstructures, and the book also features a chapter on microstructure hull and material design. Modeling of complex samples with nonlinear properties such as neural tissue, bone microstructure, and liver tissue is also explained and analyzed. Explains the core concepts of continuum modeling of different complex microstructures, including nanocomposites, multiphase composites, biomaterials, and biological materials Provides detailed calculations of eff ective mechanical and thermal properties allowing the audience to understand the modeling and homogenization of complex microstructures Covers several methods for designing the microstructure of heterogeneous materials
Author: Graeme W. Milton Publisher: SIAM ISBN: 1611977487 Category : Mathematics Languages : en Pages : 761
Book Description
Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.
Author: Salvatore Torquato Publisher: Springer Science & Business Media ISBN: 1475763557 Category : Mathematics Languages : en Pages : 720
Book Description
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.
Author: Klaus R. Mecke Publisher: Springer ISBN: 3540450432 Category : Mathematics Languages : en Pages : 420
Book Description
Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.
Author: Konstantin Markov Publisher: Springer Science & Business Media ISBN: 9780817640835 Category : Technology & Engineering Languages : en Pages : 506
Book Description
Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and
Author: P. Suquet Publisher: Springer ISBN: 3709126622 Category : Technology & Engineering Languages : en Pages : 352
Book Description
This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical damage models, dynamics of composites, pattern based variational bounds.
Author: Mark Kachanov Publisher: Springer Science & Business Media ISBN: 9400757158 Category : Science Languages : en Pages : 393
Book Description
The book contains state-of the-art reviews in the area of effective properties of heterogeneous materials - the classical field at interface of materials science and solid mechanics. The primary focus is on thermo-mechanical properties, materials science applications, as well as computational aspects and new opportunities provided by rapidly increasing computer powers. The reviews are at the level that is appropriate for a substantial community of researchers working in this field, both at universities and in the industry, and to graduate students. The book can be used as supplementary reading to graduate level courses.
Author: Amine Mikdam
Author: Amine Mikdam
Author: Antonio J.M. Ferreira
Author: Yves Rémond
Author: Majid Baniassadi
Author: Graeme W. Milton
Author: Salvatore Torquato
Author: Klaus R. Mecke
Author: Konstantin Markov
Author: P. Suquet
Author: Mark Kachanov