Representative Volume Elements and Unit Cells

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 https://www.elsevier.com/books-and-journals/book-companion/9780081026380 • 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

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  • Author : Shuguang Li
  • Publisher : Woodhead Publishing
  • Pages : 482 pages
  • ISBN : 0081026390
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKRepresentative Volume Elements and Unit Cells

Representative Volume Elements and Unit Cells

Representative Volume Elements and Unit Cells
  • Author : Shuguang Li,Elena Sitnikova
  • Publisher : Woodhead Publishing
  • Release : 19 November 2019
GET THIS BOOKRepresentative Volume Elements and Unit Cells

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

Non-Crimp Fabric Composites

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  • Author : Stepan V Lomov
  • Publisher : Elsevier
  • Release : 19 April 2011
GET THIS BOOKNon-Crimp Fabric Composites

Non-crimp fabric (NCF) composites are reinforced with mats of straight (non-crimped) fibres, giving them such advantages as strength, ease of handling and low manufacturing costs. Non-crimp fabric composites provides a comprehensive review of the use of NCF composites, their manufacture and applications in engineering. Part one covers the manufacture of non-crimp fabrics, including also topics such as structural stitching and automated defect analysis. Part two goes on to discuss the manufacture of non-crimp fabric composites, with chapters covering such topics

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  • Author : Vasyl Michael Harik,Li-Shi Luo
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKMicromechanics and Nanoscale Effects

This volume consists of the state-of-the-art reports on new developments in micromechanics and the modeling of nanoscale effects, and is a companion book to the recent Kluwer volume on nanomechanics and mul- scale modeling (it is entitled Trends in Nanoscale Mechanics). The two volumes grew out of a series of discussions held at NASA Langley Research Center (LaRC), lectures and other events shared by many researchers from the national research laboratories and academia. The key events include the 2001 Summer Series

Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII

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  • Author : J. T. M. de Hosson
  • Publisher : WIT Press
  • Release : 28 June 2022
GET THIS BOOKComputer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VIII

The importance of contact and surface problems in modern engineering and their combined effects has led to the Eighth International Conference on Computer Methods and Experimental Measurements for Surface and Contact Mechanics. Nowadays the importance of contact and surface problems in many technological fields is well understood: they are complex and inherently non-linear due to their moving boundaries and the different properties of materials, particularly along the contact surfaces. Structural components fail from wear, corrosion, high cycle fatigue etc., that

Micromechanics of Composite Materials

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  • Author : Jacob Aboudi,S. M. Arnold,Brett A. Bednarcyk
  • Publisher : Butterworth-Heinemann
  • Release : 01 November 2012
GET THIS BOOKMicromechanics of Composite Materials

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,

Phase Transformations and Heat Treatments of Steels

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  • Author : Bankim Chandra Ray,Rajesh Kumar Prusty,Deepak Nayak
  • Publisher : CRC Press
  • Release : 01 June 2020
GET THIS BOOKPhase Transformations and Heat Treatments of Steels

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,

Composite Materials and Structures in Aerospace Engineering

Composite Materials and Structures in Aerospace Engineering
  • Author : Erasmo Carrera
  • Publisher : Trans Tech Publications Ltd
  • Release : 01 March 2016
GET THIS BOOKComposite Materials and Structures in Aerospace Engineering

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.

Practical Micromechanics of Composite Materials

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  • Author : Jacob Aboudi,Steven M. Arnold,Brett A. Bednarcyk
  • Publisher : Butterworth-Heinemann
  • Release : 31 August 2021
GET THIS BOOKPractical Micromechanics of Composite Materials

Practical Micromechanics of Composite Materials provides an accessible treatment of micromechanical theories for the analysis and design of multi-phased composites. Written with both students and practitioners in mind and coupled with a fully functional MATLAB code to enable the solution of technologically relevant micromechanics problems, the book features an array of illustrative example problems and exercises highlighting key concepts and integrating the MATLAB code. The MATLAB scripts and functions empower readers to enhance and create new functionality tailored to their

Microstructures in Elastic Media

Microstructures in Elastic Media
  • Author : Nhan Phan-Thien,Sangtae Kim
  • Publisher : Oxford University Press
  • Release : 25 August 1994
GET THIS BOOKMicrostructures in Elastic Media

This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. The book is the first to present the topic of linear elasticity in mathematical terms that will be familiar to anyone with a grounding in fluid mechanics. It incorporates the latest advances in computational algorithms for elliptic partial differential equations, and provides the groundwork for simulations on high performance parallel computers. Numerous exercises complement the theoretical discussions, and a related

Ductile Fracture in Metal Forming

Ductile Fracture in Metal Forming
  • Author : Kazutake Komori
  • Publisher : Academic Press
  • Release : 11 October 2019
GET THIS BOOKDuctile Fracture in Metal Forming

Ductile Fracture in Metal Forming: Modeling and Simulation examines the current understanding of the mechanics and physics of ductile fracture in metal forming processes while also providing an approach to micromechanical ductile fracture prediction that can be applied to all metal forming processes. Starting with an overview of different ductile fracture scenarios, the book then goes on to explain modeling techniques that predict a range of mechanical phenomena that can lead to ductile fracture. The challenges in creating micromechanical models

Mechanical Properties and Performance of Engineering Ceramics and Composites IX

Mechanical Properties and Performance of Engineering Ceramics and Composites IX
  • Author : Dileep Singh,Jonathan Salem
  • Publisher : John Wiley & Sons
  • Release : 18 November 2014
GET THIS BOOKMechanical Properties and Performance of Engineering Ceramics and Composites IX

The Ceramic Engineering and Science Proceeding has been published by The American Ceramic Society since 1980. This series contains a collection of papers dealing with issues in both traditional ceramics (i.e., glass, whitewares, refractories, and porcelain enamel) and advanced ceramics. Topics covered in the area of advanced ceramic include bioceramics, nanomaterials, composites, solid oxide fuel cells, mechanical properties and structural design, advanced ceramic coatings, ceramic armor, porous ceramics, and more.

It Based Manufacturing

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  • Author : Surender Kumar,S. K. Mukherjee,Vinay Sharma
  • Publisher : Alpha Science Int'l Ltd.
  • Release : 28 June 2022
GET THIS BOOKIt Based Manufacturing

This monograph provides a logistic view of IT-Based manufacturing comprising the concept methodology, tools, techniques and applications. Papers written by experts in their fields are organized into different sections covering cutting processes and machine tools, non-traditional manufacturing, joining and forming, manufacturing mechatronics and intelligent manufacturing. Comprises of 129 papers presented by both Indian and International Scientists at the 20th All India Manufacturing Technology, Design and Research Conference. Machining Processes and Machine Tools Non-Traditional Manufacturing Forming and Joining Manufacturing Mechatronics Intelligent Manufacturing

Hybrid and Incompatible Finite Element Methods

Hybrid and Incompatible Finite Element Methods
  • Author : Theodore H.H. Pian,Chang-Chun Wu
  • Publisher : CRC Press
  • Release : 04 November 2005
GET THIS BOOKHybrid and Incompatible Finite Element Methods

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.