representative volume elements and unit cells

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Representative Volume Elements and Unit Cells
Author : Shuguang Li,Elena Sitnikova
Publisher : Woodhead Publishing
Release Date : 2019-11-19
ISBN 10 : 0081026390
Pages : 482 pages

Numerical methods to estimate material properties usually involve analysis of a representative volume element (RVE) or unit cell (UC). The representative volume element (RVE) or unit cell (UC) is the smallest volume over which a measurement can be made that will yield a value representative of the whole. RVEs and UCs are widely used in the characterisation of materials with multiscale architectures such as composites. However, finite element (FE) software packages such as Abaqus and Comsol MultiPhysics do not offer the capability for RVE and UC modelling directly on their own. To apply them to analyse RVEs and UCs, the generation of the FE models for them, the imposition of boundary conditions, and the extraction of directly relevant results are essentially the responsibility of the user. These have tended to be incorrectly implemented by users! For the first time, this book will provide a comprehensive account on correct modelling of RVEs and UCs, which will eliminate any uncertainties and ambiguities. The book offers a complete and thorough review on the subject of RVEs and UCs, establishing a framework on a rigorous mathematical and mechanical basis to ensure that basic concepts, such as symmetry and free body diagrams, are applied correctly and consistently. It also demonstrates to readers that rigorous applications of mathematics and mechanics are meant to make things clear, consistent, thorough and, most of all, simple and easy to follow, rather than the opposite as many perceive. As a result, the book shows that the appropriate use of RVEs and UCs can deliver an effective and reliable means of material characterisation. It not only provides a much needed comprehensive account on material characterisation but, more importantly, explains how such characterisation can be conducted in a consistent and systematic manner. It also includes a ready-to-use open source code for UCs that can be downloaded from a companion site for potential users to utilise, adapt and expand as they wish. - The companion site for the book can be found at • The theories presented in this book will give users more confidence when applying RVE and UC models to analyse materials of complex architectures with accuracy and efficiency • Systematic explanations of RVE and UC theories have been included, as well as their applications in composites • It illustrates in detail how to set up UC models and provides an open source code to implement via Abaqus

American Society for Composites, Eighth Proceedings
Author : American Society for Composites. Technical Conference
Publisher : CRC Press
Release Date : 1993-10-15
ISBN 10 : 9781566761031
Pages : 1160 pages

Hybrid and Incompatible Finite Element Methods
Author : Theodore H.H. Pian,Chang-Chun Wu
Publisher : CRC Press
Release Date : 2005-11-04
ISBN 10 : 1135442215
Pages : 400 pages

While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindered the widespread implementation of these methods. Today, however, recent advances--many directly attributable to these authors--have allowed the development of the stability theory and abstract mathematics to useful tools. Hybrid and Incompatible Finite Element Methods introduces these advances in the theory and applications of incompatible and multivariable finite element methods. After an overview of the variation formulation of finite element methods in solid mechanics, the authors discuss the fundamental theory and systematically demonstrate the theoretical foundations of incompatible elements and their application to different problems in the theory of elasticity. They also introduce new ideas in the development of hybrid finite elements, study the numerical stability of the hybrid and mixed element, and establish the theory of zero energy deformation modes. The final chapters, explore applications to fracture problems, present a bound analysis for fracture parameters, and demonstrate an implementation of a finite element analysis program.

Imperfect Bifurcation in Structures and Materials
Author : Kiyohiro Ikeda,Kazuo Murota
Publisher : Springer Nature
Release Date : 2019-09-25
ISBN 10 : 3030214737
Pages : 590 pages

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

ICCM-11 Proceedings (Six Volumes)
Author : Murray L. Scott
Publisher : Woodhead Publishing
Release Date : 1997-07-18
ISBN 10 : 9781855733503
Pages : 5338 pages

The Applicability of the Generalized Method of Cells for Analyzing Discontinuously Reinforced Composites
Author : D. H. Pahr
Publisher : N.A
Release Date : 2001
ISBN 10 :
Pages : 36 pages

American Sociey of Composties, Fifteenth International Conference
Author : Amer Society Composi
Publisher : CRC Press
Release Date : 2000-09-26
ISBN 10 : 9781587160523
Pages : 1249 pages

Phase Transformations and Heat Treatments of Steels
Author : Bankim Chandra Ray,Rajesh Kumar Prusty,Deepak Nayak
Publisher : CRC Press
Release Date : 2020-06-01
ISBN 10 : 0429673086
Pages : 222 pages

The perpetual flow of understanding between phase transformation that controls grain/microstructures and heat treatment which decides the size of grains/microstructures of steels is not well articulated in the perspective of undergraduate students. In Phase Transformations and Heat Treatments of Steels, theories of phase transformation have been used to obtain a desirable phase or combination of phases by performing appropriate heat treatment operations, leading to unification of both the concepts. Further, it includes special and critical heat treatment practices, case studies, local and in-service heat treatments, curative and preventive measures of heat treatment defects for several common and high-performance applications. Features: Presents fundamentals of phase transformation in steels Analyzes basics of phase transformation due to heat treatment of steel under various environmental conditions Explains application of heat treatment for different structural components Discusses heat treatment defects and detection Emphasizes heat treatment of special steels and in-situ heat treatment practices

Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues
Author : De-Shuang Huang,Donald C. Wunsch,Daniel S. Levine,Kang-Hyun Jo
Publisher : Springer Science & Business Media
Release Date : 2008-08-28
ISBN 10 : 3540874402
Pages : 1273 pages

The International Conference on Intelligent Computing (ICIC) was formed to p- vide an annual forum dedicated to the emerging and challenging topics in artificial intelligence, machine learning, bioinformatics, and computational biology, etc. It aims to bring together researchers and practitioners from both academia and ind- try to share ideas, problems and solutions related to the multifaceted aspects of intelligent computing. ICIC 2008, held in Shanghai, China, September 15–18, 2008, constituted the 4th International Conference on Intelligent Computing. It built upon the success of ICIC 2007, ICIC 2006 and ICIC 2005 held in Qingdao, Kunming and Hefei, China, 2007, 2006 and 2005, respectively. This year, the conference concentrated mainly on the theories and methodologies as well as the emerging applications of intelligent computing. Its aim was to unify the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. Therefore, the theme for this conference was “Emerging Intelligent Computing Technology and Applications”. Papers focusing on this theme were solicited, addressing theories, methodologies, and applications in science and technology.

Micromechanics Modelling of Ductile Fracture
Author : Zengtao Chen,Cliff Butcher
Publisher : Springer Science & Business Media
Release Date : 2013-04-02
ISBN 10 : 9400760981
Pages : 307 pages

This book summarizes research advances in micromechanics modeling of ductile fractures made in the past two decades. The ultimate goal of this book is to reach manufacturing frontline designers and materials engineers by providing a user-oriented, theoretical background of micromechanics modeling. Accordingly, the book is organized in a unique way, first presenting a vigorous damage percolation model developed by the authors over the last ten years. This model overcomes almost all difficulties of the existing models and can be used to completely accommodate ductile damage developments within a single-measure microstructure frame. Related void damage criteria including nucleation, growth and coalescence are then discussed in detail: how they are improved, when and where they are used in the model, and how the model performs in comparison with the existing models. Sample forming simulations are provided to illustrate the model’s performance.

Composite Materials and Structures in Aerospace Engineering
Author : Erasmo Carrera
Publisher : Trans Tech Publications Ltd
Release Date : 2016-03-01
ISBN 10 : 3035702373
Pages : 248 pages

Composite structures are massively exploited in many engineering fields. For instance, the state-of-the-art civil aircraft (B787 and A350) are mostly made of composite materials. The design of composites leads to challenging tasks since those competencies that stemmed from the adoption of metallic materials are often inadequate for composites. Insights on many different disciplines and tight academic/industrial cooperation are required to fully exploit composite structure capabilities.

Micromechanical Finite Element Simulations of Crack Propagation in Silicon Nitride
Author : Johannes Wippler
Publisher : KIT Scientific Publishing
Release Date : 2012
ISBN 10 : 386644818X
Pages : 140 pages

Advances in Engineering Structures, Mechanics & Construction
Author : M. Pandey,Wei-Chau Xie,Lei Xu
Publisher : Springer Science & Business Media
Release Date : 2007-02-10
ISBN 10 : 1402048912
Pages : 873 pages

This book presents the proceedings of an International Conference on Advances in Engineering Structures, Mechanics & Construction, held in Waterloo, Ontario, Canada, May 14-17, 2006. The contents include contains the texts of all three plenary presentations and all seventy-three technical papers by more than 153 authors, presenting the latest advances in engineering structures, mechanics and construction research and practice.

Advanced Engineering Materials III
Author : Jing Long Bu,Yun Hae Kim
Publisher : Trans Tech Publications Ltd
Release Date : 2013-08-30
ISBN 10 : 3038261440
Pages : 2500 pages

Selected, peer reviewed papers from the 3rd International Conference on Advanced Engineering Materials and Technology (AEMT 2013), May 11-12, 2013, Zhangjiajie, China

Aluminium Alloys 2006 - ICAA10
Author : Warren J. Poole,Mary A. Wells,David J. Lloyd
Publisher : Trans Tech Publications Ltd
Release Date : 2006-07-15
ISBN 10 : 3038130478
Pages : 2100 pages

The world production of primary and recycled aluminum continues to increase and, over the past twenty years, has risen from ~15 Mt/y in 1985 to ~32 Mt/y in 2005. The main consumers are transportation, beverage and other packaging, and building construction. The global primary aluminum production has been growing by about 2-3% per year. However, growth rates over the last decade have been much higher. In particular, during the past five years, China has played a critical role in aluminum production and has gone through a dramatic period of growth.

IUTAM Symposium on Mechanics and Reliability of Actuating Materials
Author : W. Yang
Publisher : Springer Science & Business Media
Release Date : 2006-06-28
ISBN 10 : 1402041314
Pages : 317 pages

Actuating materials hold a promise for fast-spreading applications in smart structures and active control systems, and have attracted extensive attention from scientists of both mechanics and materials sciences communities. High performance and stability of actuating materials and structures play a decisive role in their successive applications as sensors and actuators in structural control and robotics. The advances of actuating materials, however, recently encountered a severe reliability issue. For a better understanding toward this issue, scientific efforts are of paramount significance to gain a deep insight into the intricate deformation and failure behaviors of actuating materials. To examine the state of the art in this subject, the general assembly of IUTAM approved in August, 2002 at Cambridge University, UK, a proposal to hold an IUTAM symposium to summarize the relevant research findings. The main themes of the symposium are: (i) the constitutive relations of actuating materials that couple mechanical, electrical, thermal and magnetic properties, as well as incorporate phase transformation and domain switch; (ii) the physical mechanisms of deformation, damage, and fatigue crack growth of actuating materials; (iii) the development of failure-resilient approaches that base on the macro-, meso-, and micro-mechanics analyses; (iv) the investigation of microstructural evolution, stability of phase transformation, and size effects of ferroelectric ceramics, shape memory alloys, actuating polymers, and bio-actuating materials. The above problems represent an exciting challenge and form a research thrust of both materials science and solid mechanics. The IUTAM Symposium (GA.

Finite Element Analysis of Composite Laminates
Author : O.O. Ochoa,J.N. Reddy
Publisher : Springer Science & Business Media
Release Date : 1992-09-30
ISBN 10 : 9780792311256
Pages : 213 pages

Composite materials are increasingly used in aerospace, underwater, and automotive structures. To take advantage of the full potential of composite materials, structural analysts and designers must have accurate mathematical models and design methods at their disposal. The objective of this monograph is to present the laminated plate theories and their finite element models to study the deformation, strength and failure of composite structures. Emphasis is placed on engineering aspects, such as the analytical descriptions, effective analysis tools, modeling of physical features, and evaluation of approaches used to formulate and predict the response of composite structures. The first chapter presents an overview of the text. Chapter 2 is devoted to the introduction of the definitions and terminology used in composite materials and structures. Anisotropic constitutive relations and Iaminate plate theories are also reviewed. Finite element models of laminated composite plates are presented in Chapter 3. Numerical evaluation of element coefficient matrices, post-computation of strains and stresses, and sample examples of laminated plates in bending and vibration are discussed. Chapter 4 introduces damage and failure criteria in composite laminates. Finally, Chapter 5 is dedicated to case studies involving various aspects and types of composite structures. Joints, cutouts, woven composites, environmental effects, postbuckling response and failure of composite laminates are discussed by considering specific examples.

Micromechanics of Composite Materials
Author : Jacob Aboudi,S. M. Arnold,Brett A. Bednarcyk
Publisher : Butterworth-Heinemann
Release Date : 2012-11-01
ISBN 10 : 0123970350
Pages : 984 pages

Summary: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime's research, of three leading experts in the field. The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use. Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure.

Composite Materials and Structures
Author : American Society of Mechanical Engineers. Winter Meeting,American Society of Mechanical Engineers. Winter Annual Meeting
Publisher : N.A
Release Date : 1993
ISBN 10 :
Pages : 315 pages

Twenty-three papers presented at the 1993 ASME Winter Annual Meeting in New Orleans cover a wide range of problems in almost all areas of research on composite materials and structures. The sole invited paper, "Some Novel Approaches in the Mechanics of Composites," is by Genady P. Cherepanov (mechanical engineering, Florida International U.). No index. Annotation copyright by Book News, Inc., Portland, OR

IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media
Author : B. Daya Reddy
Publisher : Springer Science & Business Media
Release Date : 2008-09-24
ISBN 10 : 1402090900
Pages : 388 pages

This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.