Download or read book Multi scale Analysis of Composite Materials Using CalculiX and the Method of Cells written by Francisco A. Yapor Genao and published by . This book was released on 2018 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified analysis framework is presented that makes available multiscale analysis of composite structures using the open-source FEA solver package CalculiX CrunchiX (CCX). At the center of this framework is the coupling and use of the Finite Element Analysis - Micromechanics Analysis Code (FEAMAC) library from NASA's Micromechanics Analysis Code with Generalized Method of Cells (MAC/GMC), coupled with CCX to allow multiscale analysis. This implementation allows performing nonlinear micromechanics simulation, using the Generalized Method of Cells (GMC), at each integration point of the FEA model and receive homogenized material response provided at each increment of the simulation. This framework follows the execution principle of FEAMAC with Abaqus, which is the initial implementation of this framework using the commercial FEA package Abaqus/Standard. The evaluation method for the proposed framework is to compare three validated examples, purely structural problems (i.e., no thermal), from the distribution of FEAMAC. The error between the methods was calculated for each model and material orientation, using the reference values from FEAMAC with Abaqus documentation. The reported values were taken at their relative extrema over the range of respective unit of measure for the particular problem. The most significant error reported was in a composite beam four-point bend test specimen with less than 1 % difference. These results show that the proposed coupling can be used with appropriate care for multiscale FEA simulations of composite materials. This work represents the first step to support the use and growth of the audience who can utilize multiscale analysis for composite materials and structures using the low-cost efficient tools such as MAC/GMC code and the open-source FEA package CCX.
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.
Download or read book Multiscale Modeling and Simulation of Composite Materials and Structures written by Young Kwon and published by Springer Science & Business Media. This book was released on 2007-12-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiscale Modeling Approaches for Composites written by George Chatzigeorgiou and published by Elsevier. This book was released on 2022-01-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Computational Mechanics of Composite Materials written by Marcin Marek Kaminski and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiscale Modelling of Damage and Fracture Processes in Composite Materials written by Tomasz Sadowski and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores damage growth and fracture processes in cementitious, ceramic, polymer and metal matrix composites, integrating properties like stiffness and strength with observation at below macroscopic scale. Advances in multiscale modelling and analysis pertain directly to materials which either have a range of relevant microstructural scales, like metals, or do not have a well-defined microstructure, like cementitious or ceramic composites.
Download or read book Advances in Predictive Models and Methodologies for Numerically Efficient Linear and Nonlinear Analysis of Composites written by Marco Petrolo and published by Springer. This book was released on 2019-02-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Application of Order reduction Techniques in the Multiscale Analysis of Composites written by Trenton Mitchell Ricks and published by . This book was released on 2017 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale analysis procedures for composites often involve coupling the macroscale (e.g., structural) and meso/microscale (e.g., ply, constituent) levels. These procedures are often computationally inefficient and thus are limited to coarse subscale discretizations. In this work, various computational strategies were employed to enhance the efficiency of multiscale analysis procedures. An ensemble averaging technique was applied to stochastic microscale simulation results based on the generalized method of cells (GMC) to assess the discretization required in multiscale models. The procedure was shown to be applicable for micromechanics analyses involving both elastic materials with damage and viscoplastic materials. A trade-off in macro/microscale discretizations was assessed. By appropriately discretizing the macro/microscale domains, similar predicted strengths were obtained at a significantly less computational cost. Further improvements in the computational efficiency were obtained by appropriately initiating multiscale analyses in a macroscale domain. A stress-based criterion was used to initiate lower length scale GMC calculations at macroscale finite element integration points without any a priori knowledge of the critical regions. Adaptive multiscale analyses were 30% more efficient than full-domain multiscale analyses. The GMC sacrifices some accuracy in calculated local fields by assuming a low-order displacement field. More accurate microscale behavior can be obtained by using the high-fidelity GMC (HFGMC) at a significant computational cost. Proper orthogonal decomposition (POD) order-reduction methods were applied to the ensuing HFGMC sets of simultaneous equations as a means of improving the efficiency of their solution. A Galerkin-based POD method was used to both accurately and efficiently represent the HFGMC micromechanics relations for a linearly elastic E-glass/epoxy composite for both standalone and multiscale composite analyses. The computational efficiency significantly improved as the repeating unit cell discretization increased (10-85% reduction in computational runtime). A PetrovGalerkin-based POD method was then applied to the nonlinear HFGMC micromechanics relations for a linearly elastic E-glass/elastic-perfectly plastic Nylon-12 composite. The use of accurate order-reduced models resulted in a 4.8-6.3x speedup in the equation assembly/solution runtimes (21-38% reduction in total runtimes). By appropriately discretizing model domains and enhancing the efficiency of lower length scale calculations, the goal of performing high-fidelity multiscale analyses of composites can be more readily realized.
Download or read book Multiscale Theory of Composites and Random Media written by Xi Frank Xu and published by CRC Press. This book was released on 2018-09-21 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiscale Modeling and Homogenization of Composite Materials written by George Mseis and published by . This book was released on 2010 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study we analyze a method for the multiscale modeling of heterogeneous materials with a special emphasis on unidirectional fiber composites. The method relies on defining two problems. The first boundary value problem is defined with homogenized material properties and the second boundary value problem is defined with the exact heterogenous properties. Based on these definitions a modeling error between these two problems is defined and analyzed for both small deformation and finite deformation cases. We introduce a new modeling error that gives insight into the components that contribute to this error. To improve the solution of the homogenized problem without solving the complete heterogeneous problem, we define subdomains that include microstructural information. These smaller subdomains can then be solved and included into the solution space of the homogeneous problem through a simple coupling process. Through defining local error indicators that are related to the global modeling error, we can adaptively select only the subdomains with high local error to be included in the solution space. As a preset to the multiscale process, homogenization techniques are analyzed for random unidirectional fiber composites under small deformations. This allows one to systematically obtain material properties for the homogenized boundary value problem. A thorough analysis is provided to understand the behavior of the error indicator under both small and finite deformations. We also explore the potential reduction in the modeling error when including subdomains in the solution space. The effect the size of the subdomains have on the solution improvement is also investigated.
Download or read book Multiscale Modeling of Nonlinear Composite Materials Using Interface enriched Generalized Finite Element Method and Eigendeformation based Reduced Order Homogenization Models written by Min Lin and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multi Scale Modelling of Composite Material Systems written by Costas Soutis and published by Woodhead Publishing. This book was released on 2005-08-29 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book focuses on the fundamental understanding of composite materials at the microscopic scale, from designing micro-structural features, to the predictive equations of the functional behaviour of the structure for a specific end-application. The papers presented discuss stress and temperature-related behavioural phenomena based on knowledge of physics of microstructure and microstructural change over time.
Download or read book Advances in Predictive Models and Methodologies for Numerically Efficient Linear and Nonlinear Analysis of Composites written by Marco Petrolo and published by . This book was released on 2019 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiscale Numerical Modelling of Microstructured Reinforced Composites written by Fermin Otero Gruer and published by . This book was released on 2016 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Thermal Multi scale Analysis of Composite Material and Structures written by Ronen Haymes and published by . This book was released on 2017 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uncertainty Management in the Analysis and Optimization of Multiscale Composite Materials written by Varun Sakalkar and published by . This book was released on 2010 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Development of a Nonlinear Multiscale Composite Material Model with Application to Pile Groups written by Larry Dean McMichael and published by . This book was released on 2004 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
