January 21, 2021

Download Ebook Free Fundamentals Of Enriched Finite Element Methods

Extended Finite Element Method

Extended Finite Element Method
Author : Amir R. Khoei
Publisher : John Wiley & Sons
Release Date : 2015-02-23
Category : Science
Total pages :584
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Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications begins by introducing the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. It then covers the theory and application of XFEM in large deformations, plasticity and contact problems. The implementation of XFEM in fracture mechanics, including the linear, cohesive, and ductile crack propagation is also covered. The theory and applications of the XFEM in multiphase fluid flow, including the hydraulic fracturing in soil saturated media and crack propagation in thermo-hydro-mechanical porous media, is also discussed in detail. 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

The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Elsevier
Release Date : 2005-05-26
Category : Technology & Engineering
Total pages :752
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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

Fundamentals and Applications of Rock Mechanics

Fundamentals and Applications of Rock Mechanics
Author : DEB DEBASIS,VERMA ABHIRAM KUMAR
Publisher : PHI Learning Pvt. Ltd.
Release Date : 2016-03-12
Category : Nature
Total pages :492
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Rock mechanics is a first course in the field of mining and geotechnical engineering. Over the last decades, the concepts and applications of rock mechanics have evolved tremendously for understanding the stability and safety of structures made of/on the rock masses. This book elaborates the fundamental concepts of rock mechanics for designing and analysis of structures and excavations for a variety of applications. The text includes a fine blend of theory and worked-out examples and applications, and also emphasises the basics of stress and strain analysis, volume–weight relationship, rock mass classification systems, in situ stress measurements, stresses around underground opening, pillar and support design, subsidence, slope stability, rock failure criteria and behaviour of jointed rock mass. Numerical analysis procedures and interaction between rock bolts and rock masses are also introduced emphasising the mechanics and applications in rock engineering. Besides undergraduate and postgraduate students of civil (including geotechnical), mining and petroleum engineering, the book will also benefit the practicing engineers and researchers, who wish to acquaint themselves with state-of-the-art techniques of rock mechanics and its applications. Overall, this textbook is useful for both elementary as well as advanced learning.

Geometrically Unfitted Finite Element Methods and Applications

Geometrically Unfitted Finite Element Methods and Applications
Author : Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii
Publisher : Springer
Release Date : 2018-03-13
Category : Mathematics
Total pages :361
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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.

Extended Finite Element Method

Extended Finite Element Method
Author : Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
Publisher : Academic Press
Release Date : 2014-03-24
Category : Technology & Engineering
Total pages :286
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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

Fundamentals of the Finite Element Method for Heat and Mass Transfer

Fundamentals of the Finite Element Method for Heat and Mass Transfer
Author : Perumal Nithiarasu,Roland W. Lewis,Kankanhalli N. Seetharamu
Publisher : John Wiley & Sons
Release Date : 2016-01-21
Category : Science
Total pages :464
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Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. • Addresses fundamentals, applications and computer implementation • Educational computer codes are freely available to download, modify and use • Includes a large number of worked examples and exercises • Fills the gap between learning and research

Extended Finite Element Method

Extended Finite Element Method
Author : Soheil Mohammadi
Publisher : John Wiley & Sons
Release Date : 2008-04-30
Category : Technology & Engineering
Total pages :280
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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.

Finite Element Procedures

Finite Element Procedures
Author : Klaus-Jürgen Bathe
Publisher : Klaus-Jurgen Bathe
Release Date : 2006
Category : Engineering mathematics
Total pages :1037
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XFEM - The Extended Finite Element Method

XFEM - The Extended Finite Element Method
Author : Stéphane Bordas,Alexander Menk
Publisher : Wiley
Release Date : 2016-04-04
Category : Technology & Engineering
Total pages :288
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First book to offer a guide to the foundations of the XFEM and its implementation A revolution similar to that initiated by the FEM is taking place through the XFEM, which is already implemented in leading commercial packages (ABAQUS, ANSYS, etc.) that are taught at undergraduate and post-graduate levels and to industrial end-users. XFEM provides a detailed overview of the basics around the newly introduced extended finite element method for applications in solving moving boundary problems. XFEM is introduced naturally as an extension of FEM, through simple one dimensional examples which then allow the introduction of higher-dimensional problems. Throughout the book, each key concept is highlighted by the corresponding piece of MATLAB code which is provided via an accompanying web portal. Uniquely, this portal allows readers to obtain real-time feedback and help from an existing community of more than 130 researchers and industrialists. Demystifies the theory behind XFEM and makes it accessible to all with previous knowledge of the FEM Provides a simple introduction to XFEM but also provides a range of tools which the reader can build upon to take on a large breadth of more complex problems. Presents each key theoretical concept in parallel with its implementational aspects in the form of simple MATLAB routines provided along with the book via an interactive companion website and portal Provides a detailed account of applications of XFEM to fracture mechanics, including techniques absent from current literature

Journal of Scientific and Industrial Research

Journal of Scientific and Industrial Research
Author : Anonim
Publisher : Unknown
Release Date : 2009-07
Category : Industries
Total pages :129
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Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods
Author : Franz Roters,Philip Eisenlohr,Thomas R. Bieler,Dierk Raabe
Publisher : John Wiley & Sons
Release Date : 2011-08-04
Category : Technology & Engineering
Total pages :208
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Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

The Finite Element Analysis of Shells - Fundamentals

The Finite Element Analysis of Shells - Fundamentals
Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Release Date : 2013-03-09
Category : Technology & Engineering
Total pages :330
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The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.

Computational Contact and Impact Mechanics

Computational Contact and Impact Mechanics
Author : Tod A. Laursen
Publisher : Springer Science & Business Media
Release Date : 2013-03-14
Category : Science
Total pages :454
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Many physical systems require the description of mechanical interaction across interfaces if they are to be successfully analyzed. Examples in the engineered world range from the design of prosthetics in biomedical engi neering (e. g. , hip replacements); to characterization of the response and durability of head/disk interfaces in computer magnetic storage devices; to development of pneumatic tires with better handling characteristics and increased longevity in automotive engineering; to description of the adhe sion and/or relative slip between concrete and reinforcing steel in structural engineering. Such mechanical interactions, often called contact/impact in teractions, usually necessitate at minimum the determination of areas over which compressive pressures must act to prevent interpenetration of the mechanical entities involved. Depending on the application, frictional be havior, transient interaction of interfaces with their surroundings (e. g. , in termittent stick/slip), thermo-mechanical coupling, interaction with an in tervening lubricant and/or fluid layer, and damage of the interface (i. e. , wear) may also be featured. When taken together (or even separately!), these features have the effect of making the equations of mechanical evolu tion not only highly nonlinear, but highly nonsmooth as well. While many modern engineering simulation packages possess impressive capabilities in the general area of nonlinear mechanics, it can be contended that methodologies typically utilized for contact interactions are relatively immature in comparison to other components of a nonlinear finite element package, such as large deformation kinematics, inelastic material modeling, nonlinear equation solving, or linear solver technology.

ESAIM.

ESAIM.
Author : Anonim
Publisher : Unknown
Release Date : 2002
Category : Mathematical models
Total pages :129
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Polymer Matrix Composites

Polymer Matrix Composites
Author : Anthony Kelly
Publisher : Unknown
Release Date : 1968
Category : Composite materials
Total pages :1129
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Comprehensive Composite Materials Online is a major reference work [6 volumes in the print edition] covering all aspects of composites, from theory to practical applications. CCM provides a unique central reference source for scientists and technologists in the field of composites research, covering key aspects of naturally occurring and synthetic composite materials. Classes of materials covered includes polymer matrix composites, metal matrix composites, ceramic matrix composites, carbon/carbon composites, and cement and concrete composites. CCM also covers smart materials as they relate to composites, including process monitoring, embedded sensors and actuators, and damage detection.