Extended Finite Element Method

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Extended Finite Element Method

Extended Finite Element Method [Pdf/ePub] eBook ISBN-10: 0124078567
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Publisher: Academic Press
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Extended Finite Element Method by , Book Resume:

Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems

Extended Finite Element Method for Crack Propagation

Extended Finite Element Method for Crack Propagation [Pdf/ePub] eBook ISBN-10: 1118622693
Author: Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure
Publisher: John Wiley & Sons
File Size: 1910 KB
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Extended Finite Element Method for Crack Propagation by Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure Book Resume:

Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

Extended Finite Element Method

Extended Finite Element Method [Pdf/ePub] eBook ISBN-10: 1118869699
Author: Amir R. Khoei
Publisher: John Wiley & Sons
File Size: 1521 KB
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Extended Finite Element Method by Amir R. Khoei Book Resume:

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Extended Finite Element Method

Extended Finite Element Method [Pdf/ePub] eBook ISBN-10: 0470697997
Author: Soheil Mohammadi
Publisher: John Wiley & Sons
File Size: 1385 KB
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Extended Finite Element Method by Soheil Mohammadi Book Resume:

This important textbook provides an introduction to the concepts of the newly developed extended finite element method (XFEM) for fracture analysis of structures, as well as for other related engineering applications. One of the main advantages of the method is that it avoids any need for remeshing or geometric crack modelling in numerical simulation, while generating discontinuous fields along a crack and around its tip. The second major advantage of the method is that by a small increase in number of degrees of freedom, far more accurate solutions can be obtained. The method has recently been extended to nonlinear materials and other disciplines such as modelling contact and interface, simulation of inclusions and holes, moving and changing phase problems, and even to multiscale analyses. The book is self contained, with summaries of both classical and modern computational techniques. The main chapters include a comprehensive range of numerical examples describing various features of XFEM.

XFEM Fracture Analysis of Composites

XFEM Fracture Analysis of Composites [Pdf/ePub] eBook ISBN-10: 1118443381
Author: Soheil Mohammadi
Publisher: John Wiley & Sons
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XFEM Fracture Analysis of Composites by Soheil Mohammadi Book Resume:

This book describes the basics and developments of the new XFEMapproach to fracture analysis of composite structures andmaterials. It provides state of the art techniques and algorithmsfor fracture analysis of structures including numeric examples atthe end of each chapter as well as an accompanying website whichwill include MATLAB resources, executables, data files, andsimulation procedures of XFEM. The first reference text for the extended finite element method(XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked numericalproblems and solutions, and MATLAB examples on an accompanyingwebsite with further XFEM resources Provides a comprehensive overview of this new area of research,including a review of Fracture Mechanics, basic through to advancedXFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, newresearch areas and possible future applications of the method

Computational Methods for Fracture in Porous Media

Computational Methods for Fracture in Porous Media [Pdf/ePub] eBook ISBN-10: 0081009232
Author: René de Borst
Publisher: Elsevier
File Size: 1577 KB
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Computational Methods for Fracture in Porous Media by René de Borst Book Resume:

Computational Methods for Fracture in Porous Media: Isogeometric and Extended Finite Element Methods provides a self-contained presentation of new modeling techniques for simulating crack propagation in fluid-saturated porous materials. This book reviews the basic equations that govern fluid-saturated porous media. A multi-scale approach to modeling fluid transport in joins, cracks, and faults is described in such a way that the resulting formulation allows for a sub-grid representation of the crack and fluid flow in the crack. Interface elements are also analyzed with their extension to the hydromechanical case. The flexibility of Extended Finite Element Method for non-stationary cracks is also explored and their formulation for fracture in porous media described. This book introduces Isogeometric finite element methods and its basic features and properties. The rapidly evolving phase-field approach to fracture is also discussed. The applications of this book’s content cover various fields of engineering, making it a valuable resource for researchers in soil, rock and biomechanics. Teaches both new and upcoming computational techniques for simulating fracture in (partially) fluid-saturated porous media Helps readers learn how to couple modern computational methods with non-linear fracture mechanics and flow in porous media Presents tactics on how to simulate fracture propagation in hydraulic fracturing

Geometrically Unfitted Finite Element Methods and Applications

Geometrically Unfitted Finite Element Methods and Applications [Pdf/ePub] eBook ISBN-10: 3319714317
Author: Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii
Publisher: Springer
File Size: 1335 KB
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Geometrically Unfitted Finite Element Methods and Applications by Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii Book Resume:

This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations. The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media. This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.

TEXTBOOK OF FINITE ELEMENT ANALYSIS

TEXTBOOK OF FINITE ELEMENT ANALYSIS [Pdf/ePub] eBook ISBN-10: 8120323157
Author: P. SESHU
Publisher: PHI Learning Pvt. Ltd.
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TEXTBOOK OF FINITE ELEMENT ANALYSIS by P. SESHU Book Resume:

Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.

Finite Element Analysis for Biomedical Engineering Applications

Finite Element Analysis for Biomedical Engineering Applications [Pdf/ePub] eBook ISBN-10: 0429592159
Author: Z. C. Yang
Publisher: CRC Press
File Size: 1785 KB
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Finite Element Analysis for Biomedical Engineering Applications by Z. C. Yang Book Resume:

Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations. This book consists of four main parts: (1) bone, (2) soft tissues, (3) joints, and (4) implants. Each part starts with the structure and function of the biology and then follows the corresponding finite element advanced features, such as anisotropic nonlinear material, multidimensional interpolation, XFEM, fiber enhancement, UserHyper, porous media, wear, and crack growth fatigue analysis. The final section presents some specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent. All modeling files are attached in the appendixes of the book. This book will be helpful to graduate students and researchers in the biomedical field who engage in simulations of biomedical problems. The book also provides all readers with a better understanding of current advanced finite element technologies. Details finite element modeling of bone, soft tissues, joints, and implants Presents advanced finite element technologies, such as fiber enhancement, porous media, wear, and crack growth fatigue analysis Discusses specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent Explains principles for modeling biology Provides various descriptive modeling files

The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals [Pdf/ePub] eBook ISBN-10: 9780080472775
Author: Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher: Elsevier
File Size: 1872 KB
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The Finite Element Method: Its Basis and Fundamentals by Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu Book Resume:

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures [Pdf/ePub] eBook ISBN-10: 1118700082
Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publisher: John Wiley & Sons
File Size: 829 KB
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Nonlinear Finite Elements for Continua and Structures by Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary Book Resume:

This updated and expanded edition of the bestselling textbookprovides a comprehensive introduction to the methods and theory ofnonlinear finite element analysis. New material provides a conciseintroduction to some of the cutting-edge methods that have evolvedin recent years in the field of nonlinear finite element modeling,and includes the eXtended finite element method (XFEM),multiresolution continuum theory for multiscale microstructures,and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, SecondEdition focuses on the formulation and solution of discreteequations for various classes of problems that are of principalinterest in applications to solid and structural mechanics. Topicscovered include the discretization by finite elements of continuain one dimension and in multi-dimensions; the formulation ofconstitutive equations for nonlinear materials and largedeformations; procedures for the solution of the discreteequations, including considerations of both numerical andmultiscale physical instabilities; and the treatment of structuraland contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solidmechanics and how it can be implemented in finite elementanalysis Covers many of the material laws used in today's software andresearch Introduces advanced topics in nonlinear finite elementmodelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual andMATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, SecondEdition is a must have textbook for graduate students inmechanical engineering, civil engineering, applied mathematics,engineering mechanics, and materials science, and is also anexcellent source of information for researchers and practitionersin industry.

The Finite Element Method in Electromagnetics

The Finite Element Method in Electromagnetics [Pdf/ePub] eBook ISBN-10: 1118842022
Author: Jian-Ming Jin
Publisher: John Wiley & Sons
File Size: 1630 KB
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The Finite Element Method in Electromagnetics by Jian-Ming Jin Book Resume:

A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.

Strength Prediction of Adhesively-Bonded Joints

Strength Prediction of Adhesively-Bonded Joints [Pdf/ePub] eBook ISBN-10: 1498722474
Author: Raul D. S. G. Campilho
Publisher: CRC Press
File Size: 464 KB
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Read Count: 4460994

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Strength Prediction of Adhesively-Bonded Joints by Raul D. S. G. Campilho Book Resume:

Adhesively-bonded joints provide many advantages over conventional mechanical fasteners and are increasingly receiving attention as an alternative to mechanical joints in engineering applications. The traditional fasteners usually result in the cutting of fibers and hence the introduction of stress concentrations, both of which reduce structural integrity. By contrast, bonded joints are more continuous and have potential advantages of strength-to-weight ratio, design flexibility, and ease of fabrication. This book provides an overview of available analytical methods as well as numerical methods.

Mixed Finite Element Methods and Applications

Mixed Finite Element Methods and Applications [Pdf/ePub] eBook ISBN-10: 3642365191
Author: Daniele Boffi,Franco Brezzi,Michel Fortin
Publisher: Springer Science & Business Media
File Size: 1590 KB
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Read Count: 438879

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Mixed Finite Element Methods and Applications by Daniele Boffi,Franco Brezzi,Michel Fortin Book Resume:

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.

Hybrid and Incompatible Finite Element Methods

Hybrid and Incompatible Finite Element Methods [Pdf/ePub] eBook ISBN-10: 0203487699
Author: Theodore H.H. Pian,Chang-Chun Wu
Publisher: CRC Press
File Size: 1241 KB
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Hybrid and Incompatible Finite Element Methods by Theodore H.H. Pian,Chang-Chun Wu Book Resume:

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.

Introduction to Finite Element Analysis Using MATLAB and Abaqus

Introduction to Finite Element Analysis Using MATLAB and Abaqus [Pdf/ePub] eBook ISBN-10: 1466580216
Author: Amar Khennane
Publisher: CRC Press
File Size: 1353 KB
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Introduction to Finite Element Analysis Using MATLAB and Abaqus by Amar Khennane Book Resume:

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balan

Finite Element Analysis of Structures through Unified Formulation

Finite Element Analysis of Structures through Unified Formulation [Pdf/ePub] eBook ISBN-10: 1118536657
Author: Erasmo Carrera,Maria Cinefra,Marco Petrolo,Enrico Zappino
Publisher: John Wiley & Sons
File Size: 1015 KB
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Read Count: 8563241

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Finite Element Analysis of Structures through Unified Formulation by Erasmo Carrera,Maria Cinefra,Marco Petrolo,Enrico Zappino Book Resume:

The finite element method (FEM) is a computational tool widelyused to design and analyse complex structures. Currently,there are a number of different approaches to analysis using theFEM that vary according to the type of structure being analysed:beams and plates may use 1D or 2D approaches, shells and solids 2Dor 3D approaches, and methods that work for one structure aretypically not optimized to work for another. Finite Element Analysis of Structures Through UnifiedFormulation deals with the FEM used for the analysis of themechanics of structures in the case of linear elasticity. Thenovelty of this book is that the finite elements (FEs) areformulated on the basis of a class of theories of structures knownas the Carrera Unified Formulation (CUF). It formulates 1D, 2D and3D FEs on the basis of the same 'fundamental nucleus' that comesfrom geometrical relations and Hooke's law, and presents both 1Dand 2D refined FEs that only have displacement variables as in 3Delements. It also covers 1D and 2D FEs that make use of 'real'physical surfaces rather than ’artificial’ mathematicalsurfaces which are difficult to interface in CAD/CAE software. Key features: Covers how the refined formulation can be easily andconveniently used to analyse laminated structures, such as sandwichand composite structures, and to deal with multifield problems Shows the performance of different FE models through the 'besttheory diagram' which allows different models to be compared interms of accuracy and computational cost Introduces an axiomatic/asymptotic approach that reduces thecomputational cost of the structural analysis without affecting theaccuracy Introduces an innovative 'component-wise' approach to deal withcomplex structures Accompanied by a website hosting the dedicated software packageMUL2 (www.mul2.com) Finite Element Analysis of Structures Through UnifiedFormulation is a valuable reference for researchers andpractitioners, and is also a useful source of information forgraduate students in civil, mechanical and aerospaceengineering.

Adhesive Bonding

Adhesive Bonding [Pdf/ePub] eBook ISBN-10: 3527623930
Author: Walter Brockmann,Paul Ludwig Geiß,Jürgen Klingen,K. Bernhard Schröder
Publisher: John Wiley & Sons
File Size: 1582 KB
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Read Count: 2043774

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Adhesive Bonding by Walter Brockmann,Paul Ludwig Geiß,Jürgen Klingen,K. Bernhard Schröder Book Resume:

Both solid knowledge of the basics as well as expert knowledge is needed to create rigid, long-lasting and material-specific adhesions in the industrial or trade sectors. Information that is extremely difficult and time-consuming to find in the current literature. Written by specialists in various disciplines from both academia and industry, this handbook is the very first to provide such comprehensive knowledge in a compact and well-structured form. Alongside such traditional fields as the properties, chemistry and characteristic behavior of adhesives and adhesive joints, it also treats in detail current practical questions and the manifold applications for adhesives.

Mathematical and Numerical Modeling of the Cardiovascular System and Applications

Mathematical and Numerical Modeling of the Cardiovascular System and Applications [Pdf/ePub] eBook ISBN-10: 3319966499
Author: Daniele Boffi,Luca F. Pavarino,Gianluigi Rozza,Simone Scacchi,Christian Vergara
Publisher: Springer
File Size: 1159 KB
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Read Count: 6095782

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Mathematical and Numerical Modeling of the Cardiovascular System and Applications by Daniele Boffi,Luca F. Pavarino,Gianluigi Rozza,Simone Scacchi,Christian Vergara Book Resume:

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the development of mathematical and computational models, including with parameters, as well as their efficient numerical solution, and both in-vivo and in-vitro validation. It also considers applications of relevant clinical interest. This book is intended for graduate students and researchers in the field of bioengineering, applied mathematics, computer, computational and data science, and medicine wishing to become involved in the highly fascinating task of modeling the cardiovascular system.

Multiscale Modeling of Heterogeneous Structures

Multiscale Modeling of Heterogeneous Structures [Pdf/ePub] eBook ISBN-10: 3319654632
Author: Jurica Sorić,Peter Wriggers,Olivier Allix
Publisher: Springer
File Size: 1422 KB
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Read Count: 8478237

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Multiscale Modeling of Heterogeneous Structures by Jurica Sorić,Peter Wriggers,Olivier Allix Book Resume:

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.