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Continuum Micromechanics
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Book Synopsis Continuum Micromechanics by : Dazhi Jiang
Download or read book Continuum Micromechanics written by Dazhi Jiang and published by Springer Nature. This book was released on 2023-03-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book integrates theory, numerical methods, and practical applications seamlessly. MATLAB and MathCad programs are provided for readers to master the theory, understand the approach, and to further develop and apply the methods to geological problems. Multiscale and multi-physics investigations of Earth and planetary processes have been an active trend of research in Earth Sciences, thanks to the development of scientific computation and computer software and hardware. Based on the author's research and teaching over the past 15 years, the book stands alone as the first comprehensive text in unifying fundamental continuum micromechanics theory, geometric/kinematic analysis, and applications. The book should appeal to a broad audience of students and researchers, particularly those in the fields of structural geology, tectonics, (natural and experimental) rock deformation, mineral physics and rheology, and numerical modeling of multiscale and coupling processes.
Book Synopsis Continuum Micromechanics by : P. Suquet
Download or read book Continuum Micromechanics written by P. Suquet and published by Springer. This book was released on 2014-05-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Continuum Mechanics for Engineers by : G. Thomas Mase
Download or read book Continuum Mechanics for Engineers written by G. Thomas Mase and published by CRC Press. This book was released on 2009-07-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-leve
Book Synopsis Handbook of Nonlocal Continuum Mechanics for Materials and Structures by : George Z. Voyiadjis
Download or read book Handbook of Nonlocal Continuum Mechanics for Materials and Structures written by George Z. Voyiadjis and published by Springer. This book was released on 2019-02-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics.
Book Synopsis Continuum Mechanics and Linear Elasticity by : Ciprian D. Coman
Download or read book Continuum Mechanics and Linear Elasticity written by Ciprian D. Coman and published by Springer Nature. This book was released on 2019-11-02 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).
Book Synopsis Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites by : Wim Van Paepegem
Download or read book Multi-Scale Continuum Mechanics Modelling of Fibre-Reinforced Polymer Composites written by Wim Van Paepegem and published by Woodhead Publishing. This book was released on 2020-11-25 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-scale modelling of composites is a very relevant topic in composites science. This is illustrated by the numerous sessions in the recent European and International Conferences on Composite Materials, but also by the fast developments in multi-scale modelling software tools, developed by large industrial players such as Siemens (Virtual Material Characterization toolkit and MultiMechanics virtual testing software), MSC/e-Xstream (Digimat software), Simulia (micromechanics plug-in in Abaqus), HyperSizer (Multi-scale design of composites), Altair (Altair Multiscale Designer) This book is intended to be an ideal reference on the latest advances in multi-scale modelling of fibre-reinforced polymer composites, that is accessible for both (young) researchers and end users of modelling software. We target three main groups: This book aims at a complete introduction and overview of the state-of-the-art in multi-scale modelling of composites in three axes: • ranging from prediction of homogenized elastic properties to nonlinear material behaviour • ranging from geometrical models for random packing of unidirectional fibres over meso-scale geometries for textile composites to orientation tensors for short fibre composites • ranging from damage modelling of unidirectionally reinforced composites over textile composites to short fibre-reinforced composites The book covers the three most important scales in multi-scale modelling of composites: (i) micro-scale, (ii) meso-scale and (iii) macro-scale. The nano-scale and related atomistic and molecular modelling approaches are deliberately excluded, since the book wants to focus on continuum mechanics and there are already a lot of dedicated books about polymer nanocomposites. A strong focus is put on physics-based damage modelling, in the sense that the chapters devote attention to modelling the different damage mechanisms (matrix cracking, fibre/matrix debonding, delamination, fibre fracture,...) in such a way that the underlying physics of the initiation and growth of these damage modes is respected. The book also gives room to not only discuss the finite element based approaches for multi-scale modelling, but also much faster methods that are popular in industrial software, such as Mean Field Homogenization methods (based on Mori-Tanaka and Eshelby solutions) and variational methods (shear lag theory and more advanced theories). Since the book targets a wide audience, the focus is put on the most common numerical approaches that are used in multi-scale modelling. Very specialized numerical methods like peridynamics modelling, Material Point Method, eXtended Finite Element Method (XFEM), isogeometric analysis, SPH (Smoothed Particle Hydrodynamics),... are excluded. Outline of the book The book is divided in three large parts, well balanced with each a similar number of chapters:
Book Synopsis Encyclopedia of Continuum Mechanics by : Holm Altenbach
Download or read book Encyclopedia of Continuum Mechanics written by Holm Altenbach and published by Springer. This book was released on 2020-01-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.
Book Synopsis Nonlinear Continuum Mechanics of Solids by : Yavuz Basar
Download or read book Nonlinear Continuum Mechanics of Solids written by Yavuz Basar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.
Book Synopsis Continuum Mechanics for Engineers by : G. Thomas Mase
Download or read book Continuum Mechanics for Engineers written by G. Thomas Mase and published by CRC Press. This book was released on 2020-05-01 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.
Book Synopsis Micromechanics of Defects in Solids by : T. Mura
Download or read book Micromechanics of Defects in Solids written by T. Mura and published by Springer Science & Business Media. This book was released on 1987-11-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stems from a course on Micromechanics that I started about fifteen years ago at Northwestern University. At that time, micromechanics was a rather unfamiliar subject. Although I repeated the course every year, I was never convinced that my notes have quite developed into a final manuscript because new topics emerged constantly requiring revisions, and additions. I finally came to realize that if this is continued, then I will never complete the book to my total satisfaction. Meanwhile, T. Mori and I had coauthored a book in Japanese, entitled Micromechanics, published by Baifu-kan, Tokyo, in 1975. It received an extremely favorable response from students and re searchers in Japan. This encouraged me to go ahead and publish my course notes in their latest version, as this book, which contains further development of the subject and is more comprehensive than the one published in Japanese. Micromechanics encompasses mechanics related to microstructures of materials. The method employed is a continuum theory of elasticity yet its applications cover a broad area relating to the mechanical behavior of materi als: plasticity, fracture and fatigue, constitutive equations, composite materi als, polycrystals, etc. These subjects are treated in this book by means of a powerful and unified method which is called the 'eigenstrain method. ' In particular, problems relating to inclusions and dislocations are most effectively analyzed by this method, and therefore, special emphasis is placed on these topics.
Book Synopsis Continuum Damage Mechanics and Numerical Applications by : Wohua Zhang
Download or read book Continuum Damage Mechanics and Numerical Applications written by Wohua Zhang and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.
Book Synopsis Micromechanics of Fiber-Reinforced Laminae by : Andreas Öchsner
Download or read book Micromechanics of Fiber-Reinforced Laminae written by Andreas Öchsner and published by Springer Nature. This book was released on 2022-01-11 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the micromechanics of fiber-reinforced laminae, which deals with the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical metals. Particularly, the combination of a matrix with fibers provides far better properties than the components alone. Despite their importance, many engineering degree programs do not treat the mechanical behavior of this class of advanced structured materials in detail, at least on the Bachelor degree level. Thus, some engineers are not able to thoroughly apply and introduce these modern engineering materials in their design process. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. Three classical approaches to predict the elastic properties, i.e., the mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin–Tsai relationships, are presented. The quality of each prediction is benchmarked based on two different sets of experimental values. The book concludes with optimized representations, which were obtained based on the least square approach for the used experimental data sets.
Book Synopsis Micromechanics of Materials, with Applications by : Mark Kachanov
Download or read book Micromechanics of Materials, with Applications written by Mark Kachanov and published by Springer. This book was released on 2018-04-17 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on micromechanics explores both traditional aspects and the advances made in the last 10–15 years. The viewpoint it assumes is that the rapidly developing field of micromechanics, apart from being of fundamental scientific importance, is motivated by materials science applications. The introductory chapter provides the necessary background together with some less traditional material, examining e.g. approximate elastic symmetries, Rice’s technique of internal variables and multipole expansions. The remainder of the book is divided into the following parts: (A) classic results, which consist of Rift Valley Energy (RVE), Hill’s results, Eshelby’s results for ellipsoidal inhomogeneities, and approximate schemes for the effective properties; (B) results aimed at overcoming these limitations, such as volumes smaller than RVE, quantitative characterization of “irregular” microstructures, non-ellipsoidal inhomogeneities, and cross-property connections; (C) local fields and effects of interactions on them; and lastly (D) – the largest section – which explores applications to eight classes of materials that illustrate how to apply the micromechanics methodology to specific materials.
Book Synopsis Mechanics of Microstructured Materials by : Helmut J. Böhm
Download or read book Mechanics of Microstructured Materials written by Helmut J. Böhm and published by Springer. This book was released on 2014-05-04 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work deals with the thermomechanical mechanical behavior of microstructured materials, which has attracted considerable interest from both the academic and the industrial research communities. The past decade has witnessed major progress in the development of analytical as well as numerical modeling approaches and of experimental methods in this field. Considerable research efforts have been aimed at obtaining microstructure-property correlations and at studying the damage and failure behavior of microstructured materials. The book combines an overview of important analytical and numerical modeling approaches in continuum micromechanics and is aimed at academic and industrial researchers, such as materials scientists, mechanical engineers, and applied physicists, who are working or planning to work in the field of mechanics of microstructured materials such as composites, metals and ceramics.
Book Synopsis Continuum Theory of Plasticity by : Akhtar S. Khan
Download or read book Continuum Theory of Plasticity written by Akhtar S. Khan and published by John Wiley & Sons. This book was released on 1995-02-28 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.
Book Synopsis Continuum Mechanics and Theory of Materials by : Peter Haupt
Download or read book Continuum Mechanics and Theory of Materials written by Peter Haupt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
Book Synopsis Mechanics of Asphalt: Microstructure and Micromechanics by : Linbing Wang
Download or read book Mechanics of Asphalt: Microstructure and Micromechanics written by Linbing Wang and published by McGraw Hill Professional. This book was released on 2010-10-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A State-of-the-Art Guide to the Mechanics of Asphalt Concrete Mechanics of Asphalt systematically covers both the fundamentals and most recent developments in applying rational mechanics, microstructure characterization methods, and numerical tools to understand the behavior of asphalt concrete (AC). The book describes the essential mathematics, mechanics, and numerical techniques required for comprehending advanced modeling and simulation of asphalt materials and asphalt pavements. Filled with detailed illustrations, this authoritative volume provides rational mechanisms to guide the development of best practices in mix design, construction methods, and performance evaluation of asphalt concrete. Mechanics of Asphalt covers: Fundamentals for mathematics and continuum mechanics Mechanical properties of constituents, including binder, aggregates, mastics, and mixtures Microstructure characterization Experimental methods to characterize the heterogeneous strain field Mixture theory and micromechanics applications Fundamentals of phenomenological models Multiscale modeling and moisture damage Models for asphalt concrete, including viscoplasticity, viscoplasticity with damage, disturbed state mechanics model, and fatigue failure criteria Finite element method, boundary element method, and discrete element method Digital specimen and digital test-integration of microstructure and simulation Simulation of asphalt compaction Characterization and modeling of anisotropic properties of asphalt concrete
