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

Author : Min Lin
Publisher :
Page : 0 pages
File Size : 48,94 MB
Release : 2023
Category : Artificial intelligence
ISBN :

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Composites have undergone significant growth in recent decades, primarily due to their exceptional strength-to-weight ratio. However, modeling the mechanical behavior of composites with complex microstructures still remains a great challenge. One approach to address this challenge is to utilize direct numerical modeling, which accounts for the intricate microscale details and nonlinear constitutive laws, and leverage advanced numerical techniques, such as the Interface-enriched Generalized Finite Element Method (IGFEM). Nevertheless, the high computational cost associated with this method often becomes a limiting factor. Reduced Order Modeling (ROM) has emerged as a technique to mitigate the computational cost by building upon the Eigendeformation-based reduced-order homogenization model (EHM). This approach significantly reduces the computational cost associated with the microscale problem by developing a reduced-order representation of the full field microscale problem, allowing flexible control of the model order to balance the accuracy and efficiency. This research advances EHM from multiple fronts. Inspired by the adaptive mesh refinement in the finite element method, both uniform and non-uniform adaptive ROMs have been developed. The idea is to start the modeling of microstructure with a coarse ROM, and gradually switch to a finer ROM when localized response starts. The adaptive ROM approach enhances the modeling of composite materials by providing greater flexibility in controlling the order of ROM to balance the computational cost and efficiency. We further developed a load-dependent ROM, which accounts for known characteristics of the loading the microstructure is going to experience, and construct the ROM accordingly. Numerical examples indicate that by incorporating load-dependent information into the EHM, more accurate stress-strain responses can be obtained. Additionally, we adopt the Physics-Informed Neural Network (PINN) to assist the pre-processing in EHM, where linear elastic analysis of the microstructure is needed for solving the so-called influence function problems. PINN could potentially utilize the similarities between a large number of microstructures generated from the same statistical distribution, providing a paradigm for efficient evaluation of the response envelops of statistical microstructures when used with EHM.

Author : Ugo Galvanetto
Publisher : Imperial College Press
Page : 349 pages
File Size : 10,2 MB
Release : 2010
Category : Science
ISBN : 1848163088

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This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques. The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear Homogenisation as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed. Sample Chapter(s). Chapter 1: Computational Homogenisation for Non-Linear Heterogeneous Solids (808 KB). Contents: Computational Homogenisation for Non-Linear Heterogeneous Solids (V G Kouznetsova et al.); Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials (Q-Z Xiao & B L Karihaloo); Multi-Scale Boundary Element Modelling of Material Degradation and Fracture (G K Sfantos & M H Aliabadi); Non-Uniform Transformation Field Analysis: A Reduced Model for Multiscale Non-Linear Problems in Solid Mechanics (J-C Michel & P Suquet); Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures (M J Lefik et al.); Recent Advances in Masonry Modelling: Micro-Modelling and Homogenisation (P B Louren o); Mechanics of Materials with Self-Similar Hierarchical Microstructure (R C Picu & M A Soare). Readership: Researchers and academics in the field of heterogeneous materials and mechanical engineering; professionals in aeronautical engineering and materials science.

Author : Young W. Kwon
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 40,29 MB
Release : 2007-10-23
Category : Science
ISBN : 0387685561

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This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering composites and the sustainable high performance of components and structures. The multiscale techniques can be also applied to nanocomposites which are important application areas in nanotechnology. There are few books available on this topic.

Author : Jurica Sorić
Publisher : Springer
Page : 374 pages
File Size : 50,70 MB
Release : 2017-11-30
Category : Science
ISBN : 3319654632

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This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures. The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.

Author : Jacob Aboudi
Publisher : Butterworth-Heinemann
Page : 1032 pages
File Size : 50,71 MB
Release : 2013
Category : Technology & Engineering
ISBN : 0123970350

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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.

Author : George Chatzigeorgiou
Publisher : Elsevier
Page : 366 pages
File Size : 10,3 MB
Release : 2022-01-07
Category : Technology & Engineering
ISBN : 0128233702

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Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modeling techniques and provides detailed guidance for putting them into practice. Various homogenization methods are presented in a simple, didactic manner, with an array of numerical examples. The book starts by covering the theoretical underpinnings of tensors and continuum mechanics concepts, then passes to actual micromechanic techniques for composite media and laminate plates. In the last chapters the book covers advanced topics in homogenization, including Green’s tensor, Hashin-Shtrikman bounds, and special types of problems. All chapters feature comprehensive analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory. Bridges theory and practice, providing step-by-step instructions for implementing multiscale modeling approaches for composites and the theoretical concepts behind them Covers boundary conditions, data-exchange between scales, the Hill-Mandel principle, average stress and strain theorems, and more Discusses how to obtain composite properties using different boundary conditions Includes access to a companion site, featuring the numerical examples, Python and ABACUS codes discussed in the book

Author : Marco Petrolo
Publisher : Springer
Page : 193 pages
File Size : 40,13 MB
Release : 2019-02-24
Category : Science
ISBN : 3030119696

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This book gathers contributions addressing issues related to the analysis of composite structures, whose most relevant common thread is augmented numerical efficiency, which is more accurate for given computational costs than existing methods and methodologies. It first presents structural theories to deal with the anisotropy of composites and to embed multifield and nonlinear effects to extend design capabilities and provide methods of augmenting the fidelity of structural theories and lowering computational costs, including the finite element method. The second part of the book focuses on damage analysis; the multiscale and multicomponent nature of composites leads to extremely complex failure mechanisms, and predictive tools require physics-based models to reduce the need for fitting and tuning based on costly and lengthy experiments, and to lower computational costs; furthermore the correct monitoring of in-service damage is decisive in the context of damage tolerance. The third part then presents recent advances in embedding characterization and manufacturing effects in virtual testing. The book summarizes the outcomes of the FULLCOMP (FULLy integrated analysis, design, manufacturing, and health-monitoring of COMPosite structures) research project.

Author : Fermin Otero Gruer
Publisher :
Page : 136 pages
File Size : 47,82 MB
Release : 2016
Category :
ISBN :

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Most of the existing materials around us can be considered composite materials, since they are composed by several phases or components at certain spatial scale. The physical and chemical properties of composites, as occurs with structures composed by two or more materials, is defined by the response provided by their constituents. Therefore, a good characterization of the composite requires considering the performance of its components. In the last decades, several methods have been proposed with this approach to characterize composite materials, most of them based on multiscale techniques. Nowadays, multiscale homogenization analysis is a popular topic in the simulation of composite materials. This is because the complexity of new composites demands of advanced analysis techniques for their correct characterization, and thanks to the continuous increase of computational capacity. However, the computational cost when multiscale procedures are taken to the non-linear range and are applied to real-size structures is still excessively high. In this context, this work presents a comprehensive homogenization formulation for an efficient non-linear multiscale modeling of composite structures. The development of a composite multiscale constitutive model is addressed from two different homogenization approaches. The first one corresponds to a phenomenological homogenization procedure for the non-linear analysis of carbon nanotubes reinforced composites. The second one is a general two-scale homogenization procedure to analyze three-dimensional composite structures. Carbon nanotubes (CNTs) have been regarded as ideal reinforcements for high-performance composites. The formulation developed takes into account explicitly the performance of the interface between the matrix and the CNTs. The load is transferred to the nanotubes through the considered interface. The composite non-linear behavior results from the non-linearities of its constituents, and in case of interface damage, it also becomes non-linear the law defined to couple the interface with the CNTs. The formulation is validated studying the elastic response and non-linear behavior of several composites. In the context of multiscale homogenization, a first-order and an enhanced-first-order formulation is developed. The results obtained for laminate composites using the first-order formulation are compared with other microscopic formulations, showing that the homogenization method is an excellent alternative when microstructural effects must be taken into account. Then, a strategy to conduct non-linear multiscale analysis in an efficient way is proposed. The procedure conserves the dissipated energy through the scales and is mesh independent. The analysis of academic examples is used to show the capacity of the non-linear strategy. Finally, the simulation of an industrial composite component proves the performance and benefits of the non-linear homogenization procedure developed.

Author : Xi Frank Xu
Publisher : CRC Press
Page : 257 pages
File Size : 14,71 MB
Release : 2018-09-21
Category : Science
ISBN : 0429894376

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This is the first book to introduce Green-function-based multiscale theory and the corresponding finite element method, which are readily applicable to composites and random media. The methodology is considered to be the one that most effectively tackles the uncertainty of stress propagation in complex heterogeneities of random media, and which presents multiscale theory from distinctive scale separation and scale-coupling viewpoints. Deliberately taking a multiscale perspective, it covers scale separation and then scale coupling. Both micromechanics and novel scale-coupling mechanics are described in relation to variational principles and bounds, as well as in the emerging topics on percolation and scale-coupling computation. It gives detail on the different bounds encountered, covering classical second and third order, new fourth order, and innovative ellipsoidal variations. Green-function-based multiscale theory is addressed to applications in solid mechanics and transport of complex media ranging from micro- and nano-composites, polycrystals, soils, rocks, cementitious materials, to biological materials. It is useful as a graduate textbook in civil and mechanical engineering and as a reference.

Author : Marcin Marek Kaminski
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 41,62 MB
Release : 2006-03-30
Category : Technology & Engineering
ISBN : 1846280494

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Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers. Features: Programs for the probabilistic homogenisation of composite structures with finite numbers of components allow composites to be treated as homogeneous materials with simpler behaviours. Treatment of defects in the interfaces within heterogeneous materials and those arising in composite objects as a whole by stochastic modelling. New models for the reliability of composite structures. Novel numerical algorithms for effective Monte-Carlo simulation. Computational Mechanics of Composite Materials will be of interest to academic and practising civil, mechanical, electronic and aerospatial engineers, to materials scientists and to applied mathematicians requiring accurate and usable models of the behaviour of composite materials.