Computational Homogenization Of Heterogeneous Materials With Finite Elements

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Computational Homogenization Of Heterogeneous Materials With Finite Elements
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Author : Julien Yvonnet
language : en
Publisher: Springer
Release Date : 2019-06-11
Computational Homogenization Of Heterogeneous Materials With Finite Elements written by Julien Yvonnet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Mathematics categories.
This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.
Topology Optimization Design Of Heterogeneous Materials And Structures
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Author : Daicong Da
language : en
Publisher: John Wiley & Sons
Release Date : 2020-02-26
Topology Optimization Design Of Heterogeneous Materials And Structures written by Daicong Da and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Mathematics categories.
This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.
Proceedings Of The 9th International Conference On Civil Engineering
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Author : Guangliang Feng
language : en
Publisher: Springer Nature
Release Date : 2023-06-17
Proceedings Of The 9th International Conference On Civil Engineering written by Guangliang Feng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-17 with Technology & Engineering categories.
This open access book is a compilation of selected papers from the 9th International Conference on Civil Engineering (ICCE2022). The work focuses on novel research findings on seismic technology of civil engineering structures, High-tech construction materials, digitalization of civil engineering, urban underground space development. The contents make valuable contributions to academic researchers and engineers.
Nonlinear Mechanics For Composite Heterogeneous Structures
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Author : Georgios A. Drosopoulos
language : en
Publisher: CRC Press
Release Date : 2022-04-26
Nonlinear Mechanics For Composite Heterogeneous Structures written by Georgios A. Drosopoulos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Science categories.
Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media
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Author : B. Daya Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-24
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media written by B. Daya Reddy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-24 with Technology & Engineering categories.
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.
Proceedings Of The Joint International Conference 10th Textile Conference And 4th Conference On Engineering And Entrepreneurship
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Author : Genti Guxho
language : en
Publisher: Springer Nature
Release Date : 2024-01-09
Proceedings Of The Joint International Conference 10th Textile Conference And 4th Conference On Engineering And Entrepreneurship written by Genti Guxho and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-09 with Technology & Engineering categories.
This proceedings book encompass a wide range of significant topics within the realms of Technologies, Engineering, Management, and Production, Entrepreneurship, Materials, Textiles, Fashion, and more. The book delves into various areas of Energetics, exploring aspects such as power production, solar power, wind turbines, advanced energetics technologies, energy resource efficiency, global warming and emissions, clean and renewable energies, as well as economic development, global warming, and environmental protections. The Constructions and Transport section features discussions on numerical methods for data manipulation, construction science and technology, transport systems, modeling of transport systems, intelligent transport, traffic management and safety. The Materials segment addresses materials science and application, biopolymers and biotechnology, metallic and composite materials, metallurgical engineering, recycling, manufacturing, and processing of various materials suchas paper, plastics, rubber, glass, ceramics, and more. Management and Production topics include technology management, logistic and supply chain management, total quality management, knowledge and innovation management, financial management, marketing research and strategy, industrial marketing, operational research, project management, as well as information technology in enterprises, e-activities, and e-commerce. The book also features an extensive section dedicated to Textiles, covering textile processing and testing, technological advances in the textile industry, ecology and environment in textile production, fiber physics and textile mechanics, finishing, dyeing, and treatment techniques, modeling and simulation, smart and interactive textiles, technical and protective textiles, textile design, fashion, and garment manufacturing, innovations in textile education, as well as leather and footwear technologies.
Advanced Computational Materials Modeling
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Author : Miguel Vaz Junior
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-22
Advanced Computational Materials Modeling written by Miguel Vaz Junior and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Technology & Engineering categories.
With its discussion of strategies for modeling complex materials using new numerical techniques, mainly those based on the finite element method, this monograph covers a range of topics including computational plasticity, multi-scale formulations, optimization and parameter identification, damage mechanics and nonlinear finite elements.
An Introduction To Computational Micromechanics
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Author : Tarek I. Zohdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-18
An Introduction To Computational Micromechanics written by Tarek I. Zohdi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-18 with Technology & Engineering categories.
In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.
Microstructural Modeling And Computational Homogenization Of The Physically Linear And Nonlinear Constitutive Behavior Of Micro Heterogeneous Materials
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Author : Felix Fritzen
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-08-22
Microstructural Modeling And Computational Homogenization Of The Physically Linear And Nonlinear Constitutive Behavior Of Micro Heterogeneous Materials written by Felix Fritzen and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Technology & Engineering categories.
Engineering materials show a pronounced heterogeneity on a smaller scale that influences the macroscopic constitutive behavior. Algorithms for the periodic discretization of microstructures are presented. These are used within the Nonuniform Transformation Field Analysis (NTFA) which is an order reduction based nonlinear homogenization method with micro-mechanical background. Theoretical and numerical aspects of the method are discussed and its computational efficiency is validated.
Homogenization Methods
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Author : Rainer Glüge
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-02-20
Homogenization Methods written by Rainer Glüge and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-20 with Technology & Engineering categories.
Almost all materials are inhomogeneous at the microscale. Typical examples are fiber- and grain structures made of anisotropic phases. These cannot be accounted for in detail in engineering calculations. Instead, effective, homogeneous material properties are used. These are obtained from the inhomogeneous structures by homogenization methods. This book provides a structured overview of the analytical homogenization methods, including the most common estimates, bounds, and Fourier methods. The focus is on linear and anisotropic constitutive relationships, like Hookean elasticity and Fourier’s law for thermal conduction. All sections are accompanied by example calculations, including program code that is also available online.