Multiscale Modeling Of Nonlinear Composite Materials Using Interface Enriched Generalized Finite Element Method And Eigendeformation Based Reduced Order Homogenization Models

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Computational Methods for Fracture

Author : Timon Rabczuk
Publisher : MDPI
ISBN 13 : 3039216864
Total Pages : 406 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Computational Methods for Fracture by : Timon Rabczuk

Download or read book Computational Methods for Fracture written by Timon Rabczuk and published by MDPI. This book was released on 2019-10-28 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

Author : Martin Philip Bendsoe
Publisher : Springer Science & Business Media
ISBN 13 : 1402047525
Total Pages : 602 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials by : Martin Philip Bendsoe

Download or read book IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2006-10-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.

Opportunities in Protection Materials Science and Technology for Future Army Applications

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309212855
Total Pages : 176 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Opportunities in Protection Materials Science and Technology for Future Army Applications by : National Research Council

Download or read book Opportunities in Protection Materials Science and Technology for Future Army Applications written by National Research Council and published by National Academies Press. This book was released on 2011-08-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Armor plays a significant role in the protection of warriors. During the course of history, the introduction of new materials and improvements in the materials already used to construct armor has led to better protection and a reduction in the weight of the armor. But even with such advances in materials, the weight of the armor required to manage threats of ever-increasing destructive capability presents a huge challenge. Opportunities in Protection Materials Science and Technology for Future Army Applications explores the current theoretical and experimental understanding of the key issues surrounding protection materials, identifies the major challenges and technical gaps for developing the future generation of lightweight protection materials, and recommends a path forward for their development. It examines multiscale shockwave energy transfer mechanisms and experimental approaches for their characterization over short timescales, as well as multiscale modeling techniques to predict mechanisms for dissipating energy. The report also considers exemplary threats and design philosophy for the three key applications of armor systems: (1) personnel protection, including body armor and helmets, (2) vehicle armor, and (3) transparent armor. Opportunities in Protection Materials Science and Technology for Future Army Applications recommends that the Department of Defense (DoD) establish a defense initiative for protection materials by design (PMD), with associated funding lines for basic and applied research. The PMD initiative should include a combination of computational, experimental, and materials testing, characterization, and processing research conducted by government, industry, and academia.

Multiscale Problems: Theory, Numerical Approximation And Applications

Author : Alain Damlamian
Publisher : World Scientific
ISBN 13 : 9814458120
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multiscale Problems: Theory, Numerical Approximation And Applications by : Alain Damlamian

Download or read book Multiscale Problems: Theory, Numerical Approximation And Applications written by Alain Damlamian and published by World Scientific. This book was released on 2011-10-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

An Introduction to Computational Micromechanics

Author : Tarek I. Zohdi
Publisher : Springer Science & Business Media
ISBN 13 : 3540323600
Total Pages : 199 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis An Introduction to Computational Micromechanics by : Tarek I. Zohdi

Download or read book An Introduction to Computational Micromechanics written by Tarek I. Zohdi and published by Springer Science & Business Media. This book was released on 2008-03-15 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiscale Methods

Author : Jacob Fish
Publisher : Oxford University Press
ISBN 13 : 0199233853
Total Pages : 631 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Multiscale Methods by : Jacob Fish

Download or read book Multiscale Methods written by Jacob Fish and published by Oxford University Press. This book was released on 2010 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

Continuum Thermomechanics

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 0306469464
Total Pages : 428 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Continuum Thermomechanics by : Gérard A. Maugin

Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Micromechanics of Fracture and Damage

Author : Luc Dormieux
Publisher : John Wiley & Sons
ISBN 13 : 1119292182
Total Pages : 249 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Micromechanics of Fracture and Damage by : Luc Dormieux

Download or read book Micromechanics of Fracture and Damage written by Luc Dormieux and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mechanics and physics of fractures at various scales. Based on advanced continuum mechanics of heterogeneous media, it develops a rigorous mathematical framework for single macrocrack problems as well as for the effective properties of microcracked materials. In both cases, two geometrical models of cracks are examined and discussed: the idealized representation of the crack as two parallel faces (the Griffith crack model), and the representation of a crack as a flat elliptic or ellipsoidal cavity (the Eshelby inhomogeneity problem). The book is composed of two parts: The first part deals with solutions to 2D and 3D problems involving a single crack in linear elasticity. Elementary solutions of cracks problems in the different modes are fully worked. Various mathematical techniques are presented, including Neuber-Papkovitch displacement potentials, complex analysis with conformal mapping and Eshelby-based solutions. The second part is devoted to continuum micromechanics approaches of microcracked materials in relation to methods and results presented in the first part. Various estimates and bounds of the effective elastic properties are presented. They are considered for the formulation and application of continuum micromechanics-based damage models.

Micromechanics of Composite Materials

Author : Jacob Aboudi
Publisher : Butterworth-Heinemann
ISBN 13 : 0123970350
Total Pages : 1032 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Micromechanics of Composite Materials by : Jacob Aboudi

Download or read book Micromechanics of Composite Materials written by Jacob Aboudi and published by Butterworth-Heinemann. This book was released on 2013 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Integrated Computational Materials Engineering

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309119995
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integrated Computational Materials Engineering by : National Research Council

Download or read book Integrated Computational Materials Engineering written by National Research Council and published by National Academies Press. This book was released on 2008-10-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated computational materials engineering (ICME) is an emerging discipline that can accelerate materials development and unify design and manufacturing. Developing ICME is a grand challenge that could provide significant economic benefit. To help develop a strategy for development of this new technology area, DOE and DoD asked the NRC to explore its benefits and promises, including the benefits of a comprehensive ICME capability; to establish a strategy for development and maintenance of an ICME infrastructure, and to make recommendations about how best to meet these opportunities. This book provides a vision for ICME, a review of case studies and lessons learned, an analysis of technological barriers, and an evaluation of ways to overcome cultural and organizational challenges to develop the discipline.

Mathematical Problems in Elasticity and Homogenization

Author : O.A. Oleinik
Publisher : Elsevier
ISBN 13 : 0080875475
Total Pages : 413 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Mathematical Problems in Elasticity and Homogenization by : O.A. Oleinik

Download or read book Mathematical Problems in Elasticity and Homogenization written by O.A. Oleinik and published by Elsevier. This book was released on 1992-11-02 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.

Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals

Author :
Publisher :
ISBN 13 : 9781000032284
Total Pages : 0 pages
Book Rating : 4.0/5 (322 download)

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Book Synopsis Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals by :

Download or read book Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals written by and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.

Electron Backscatter Diffraction in Materials Science

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Author : Adam J. Schwartz
Publisher : Springer Science & Business Media
ISBN 13 : 0387881360
Total Pages : 406 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Electron Backscatter Diffraction in Materials Science by : Adam J. Schwartz

Download or read book Electron Backscatter Diffraction in Materials Science written by Adam J. Schwartz and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron backscatter diffraction is a very powerful and relatively new materials characterization technique aimed at the determination of crystallographic texture, grain boundary character distributions, lattice strain, phase identification, and much more. The purpose of this book is to provide the fundamental basis for electron backscatter diffraction in materials science, the current state of both hardware and software, and illustrative examples of the applications of electron backscatter diffraction to a wide-range of materials including undeformed and deformed metals and alloys, ceramics, and superconductors. The text has been substantially revised from the first edition, and the authors have kept the format as close as possible to the first edition text. The new developments covered in this book include a more comphrensive coverage of the fundamentals not covered in the first edition or other books in the field, the advances in hardware and software since the first edition was published, and current examples of application of electron backscatter diffraction to solve challenging problems in materials science and condensed-matter physics.

Asymptotic Analysis for Periodic Structures

Author : Alain Bensoussan
Publisher : American Mathematical Soc.
ISBN 13 : 0821853244
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Asymptotic Analysis for Periodic Structures by : Alain Bensoussan

Download or read book Asymptotic Analysis for Periodic Structures written by Alain Bensoussan and published by American Mathematical Soc.. This book was released on 2011-10-26 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence methods. Before this book, multiple scale methods were primarily used for non-linear oscillation problems in the applied mathematics community, not for analyzing spatial oscillations as in homogenization. In the current printing a number of minor corrections have been made, and the bibliography was significantly expanded to include some of the most important recent references. This book gives systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate. The book continues to be interesting and useful to readers of different backgrounds, both from pure and applied mathematics, because of its informal style of introducing the multiple scale methodology and the detailed proofs.

Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method

Author : Somnath Ghosh
Publisher : CRC Press
ISBN 13 : 1420094386
Total Pages : 714 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method by : Somnath Ghosh

Download or read book Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method written by Somnath Ghosh and published by CRC Press. This book was released on 2011-06-23 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: As multi-phase metal/alloy systems and polymer, ceramic, or metal matrix composite materials are increasingly being used in industry, the science and technology for these heterogeneous materials has advanced rapidly. By extending analytical and numerical models, engineers can analyze failure characteristics of the materials before they are integrat

Three-Dimensional X-Ray Diffraction Microscopy

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Author : Henning Friis Poulsen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540223306
Total Pages : 176 pages
Book Rating : 4.2/5 (233 download)

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Book Synopsis Three-Dimensional X-Ray Diffraction Microscopy by : Henning Friis Poulsen

Download or read book Three-Dimensional X-Ray Diffraction Microscopy written by Henning Friis Poulsen and published by Springer Science & Business Media. This book was released on 2004-08-31 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional x-ray diffraction (3DXRD) microscopy is a novel experimental method for structural characterisation of polycrystalline materials. The position, morphology, phase, strain and crystallographic orientation of hundreds of grains or sub-grain embedded within mm-cm thick specimens can be determined simultaneously. Furthermore, the dynamics of the individual structural elements can be monitored during typical processes such as deformation or annealing. The book gives a comprehensive account of the methodology followed by a summary of selected applications. The method is presented from a mathematical/crystallographic point-of-view but with sufficient hands-on details to enable the reader to plan his or her own experiments. The scope of applications includes work in materials science and engineering, geophysics, geology, chemistry and pharmaceutical science.

Nonlocal Modeling, Analysis, and Computation

Author : Qiang Du
Publisher : SIAM
ISBN 13 : 1611975611
Total Pages : 181 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonlocal Modeling, Analysis, and Computation by : Qiang Du

Download or read book Nonlocal Modeling, Analysis, and Computation written by Qiang Du and published by SIAM. This book was released on 2019-03-20 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to local partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives for as well as bridges to existing models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on traditional models, analytical techniques, and algorithms.