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Fundamentals Of Enriched Finite Element Methods

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The Finite Element Method Its Basis and Fundamentals

The Finite Element Method  Its Basis and Fundamentals Book
Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Elsevier
Release : 2005-05-26
ISBN : 9780080472775
Language : En, Es, Fr & De

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Book Description :

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

Extended Finite Element Method

Extended Finite Element Method Book
Author : Amir R. Khoei
Publisher : John Wiley & Sons
Release : 2015-02-23
ISBN : 1118457684
Language : En, Es, Fr & De

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Book Description :

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

Fundamentals of Enriched Finite Element Methods

Fundamentals of Enriched Finite Element Methods Book
Author : C. Armando Duarte,Angelo Simone,Alejandro Aragon
Publisher : Elsevier
Release : 2022-08-15
ISBN : 9780323855150
Language : En, Es, Fr & De

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Book Description :

This book provides an overview of the different enriched finite element methods, detailed instruction on their use, and also looks at their real-world applications, recommending in what situations they're best implemented. It starts with a concise background on the theory required to understand the underlying functioning principles behind enriched finite element methods before outlining detailed instruction on implementation of the techniques in standard displacement-based finite element codes. The strengths and weaknesses of each are discussed, as are computer implementation details, including a standalone generalized finite element package, written in Python. The applications of the methods to a range of scenarios, including multi-phase, fracture, multiscale, and immersed boundary (fictitious domain) problems are covered, and readers can find ready-to-use code, simulation videos, and other useful resources on the companion website to the book. Reviews various enriched finite element methods, providing pros, cons, and scenarios for best use Provides step-by-step instruction on implementing these methods Covers the theory of general and enriched finite element methods Discusses the application of the methods to a range of scenarios including multi-phase, fracture, multiscale, and immerse boundary problems Includes access to a companion website featuring code, simulation examples, and other practical tools

Fundamentals and Applications of Rock Mechanics

Fundamentals and Applications of Rock Mechanics Book
Author : DEB DEBASIS,VERMA ABHIRAM KUMAR
Publisher : PHI Learning Pvt. Ltd.
Release : 2016-03-12
ISBN : 8120351827
Language : En, Es, Fr & De

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Book Description :

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 Book
Author : Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii
Publisher : Springer
Release : 2018-03-13
ISBN : 3319714317
Language : En, Es, Fr & De

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Book Description :

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.

The Finite Element Method Set

The Finite Element Method Set Book
Author : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Release : 2005-11-25
ISBN : 9780080531670
Language : En, Es, Fr & De

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Book Description :

The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Least Squares Finite Element Methods

Least Squares Finite Element Methods Book
Author : Pavel B. Bochev,Max D. Gunzburger
Publisher : Springer Science & Business Media
Release : 2009-04-28
ISBN : 0387689222
Language : En, Es, Fr & De

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Book Description :

Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

The Finite Element Method

The Finite Element Method Book
Author : Bofang Zhu
Publisher : John Wiley & Sons
Release : 2018-06-13
ISBN : 1119107318
Language : En, Es, Fr & De

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Book Description :

A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.

Advanced Finite Element Methods and Applications

Advanced Finite Element Methods and Applications Book
Author : Thomas Apel,Olaf Steinbach
Publisher : Springer Science & Business Media
Release : 2012-07-16
ISBN : 3642303161
Language : En, Es, Fr & De

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Book Description :

This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

Damage and Fracture Mechanics

Damage and Fracture Mechanics Book
Author : Taoufik Boukharouba,Mimoun Elboujdaini,Guy Pluvinage
Publisher : Springer Science & Business Media
Release : 2009-08-09
ISBN : 904812669X
Language : En, Es, Fr & De

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Book Description :

The First African InterQuadrennial ICF Conference “AIQ-ICF2008” on Damage and Fracture Mechanics – Failure Analysis of Engineering Materials and Structures”, Algiers, Algeria, June 1–5, 2008 is the first in the series of InterQuadrennial Conferences on Fracture to be held in the continent of Africa. During the conference, African researchers have shown that they merit a strong reputation in international circles and continue to make substantial contributions to the field of fracture mechanics. As in most countries, the research effort in Africa is und- taken at the industrial, academic, private sector and governmental levels, and covers the whole spectrum of fracture and fatigue. The AIQ-ICF2008 has brought together researchers and engineers to review and discuss advances in the development of methods and approaches on Damage and Fracture Mechanics. By bringing together the leading international experts in the field, AIQ-ICF promotes technology transfer and provides a forum for industry and researchers of the host nation to present their accomplishments and to develop new ideas at the highest level. International Conferences have an important role to play in the technology transfer process, especially in terms of the relationships to be established between the participants and the informal exchange of ideas that this ICF offers.

Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods Book
Author : Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
Publisher : Academic Press
Release : 2019-11-13
ISBN : 0128141077
Language : En, Es, Fr & De

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Book Description :

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Encyclopedia Of Two phase Heat Transfer And Flow Iii Macro And Micro Flow Boiling And Numerical Modeling Fundamentals A 4 volume Set

Encyclopedia Of Two phase Heat Transfer And Flow Iii  Macro And Micro Flow Boiling And Numerical Modeling Fundamentals  A 4 volume Set  Book
Author : Thome John R
Publisher : World Scientific
Release : 2018-03-13
ISBN : 9813227427
Language : En, Es, Fr & De

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Book Description :

Set III of this encyclopedia is a new addition to the previous Sets I and II. It contains 26 invited chapters from international specialists on the topics of numerical modeling of two-phase flows and evaporation, fundamentals of evaporation and condensation in microchannels and macrochannels, development and testing of micro two-phase cooling systems for electronics, and various special topics (surface wetting effects, microfin tubes, two-phase flow vibration across tube bundles). The chapters are written both by renowned university researchers and by well-known engineers from leading corporate research laboratories. Numerous 'must read' chapters cover the fundamentals of research and engineering practice on boiling, condensation and two-phase flows, two-phase heat transfer equipment, electronics cooling systems, case studies and so forth. Set III constitutes a 'must have' reference together with Sets I and II for thermal engineering researchers and practitioners.

Advances in Discretization Methods

Advances in Discretization Methods Book
Author : Giulio Ventura,Elena Benvenuti
Publisher : Springer
Release : 2016-08-24
ISBN : 3319412469
Language : En, Es, Fr & De

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Book Description :

This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like finite elements, to the numerical analysis of a variety of physical problems. The improvements are intended to achieve higher computational efficiency and to account for special features of the solution directly in the approximation space and/or in the discretization procedure. The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces. The uniting feature of all contributions is the direct link between computational methodologies and their application to different engineering areas.

Advanced Computational Methods and Geomechanics

Advanced Computational Methods and Geomechanics Book
Author : Shenghong Chen
Publisher : Springer Nature
Release : 2023-01-01
ISBN : 9811974276
Language : En, Es, Fr & De

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Book Description :

The aim of this book is intended, through parallel expounding, to help readers comprehensively grasp the intrinsic features of typical advanced computational methods. These methods are created in recent three decades for the understanding of the post-failure of geo-materials accompanied with discontinuous and finite deformation/dislocation, as well as the violent fluid-structure interaction accompanied with strong distortion of water surface. The strong points and weak points of the formalisms for governing equations, the discretization schemes, the nodal interpolation /approximation of field variables, and their connectivity (via support domains, covers, or enrichments), the basic algorithms, etc., are clarified. Being aware of that the differences in these methods are not so large as at the first glance, this book will help readers to select appropriate methods, to improve the methods for their specific purpose, and to evaluate the reliability/applicability of the outcomes in the hazard evaluation of geotechnical (hydraulic) structures beyond extreme work situation. This book may be looked at as an advanced continuation of “Computational Geomechanics and Hydraulic Structures” by the author (2018) (Springer-Verlag, ISBN 978-981-10-8134-7) which elaborates the fundamental computational methods in geomechanics for the routine design of geotechnical (hydraulic) engineering.

Extended Finite Element Method

Extended Finite Element Method Book
Author : Soheil Mohammadi
Publisher : John Wiley & Sons
Release : 2008-04-30
ISBN : 0470697997
Language : En, Es, Fr & De

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Book Description :

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.

Extended Finite Element Method

Extended Finite Element Method Book
Author : Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
Publisher : Academic Press
Release : 2014-03-24
ISBN : 0124078567
Language : En, Es, Fr & De

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Book Description :

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

Research and Applications in Structural Engineering Mechanics and Computation

Research and Applications in Structural Engineering  Mechanics and Computation Book
Author : Alphose Zingoni
Publisher : CRC Press
Release : 2013-08-15
ISBN : 1315850788
Language : En, Es, Fr & De

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Book Description :

Research and Applications in Structural Engineering, Mechanics and Computation contains the Proceedings of the Fifth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2013, Cape Town, South Africa, 2-4 September 2013). Over 420 papers are featured. Many topics are covered, but the contributions may be seen to fall

Advances in Fatigue and Fracture Testing and Modelling

Advances in Fatigue and Fracture Testing and Modelling Book
Author : Zak Abdallah,Nada Aldoumani
Publisher : BoD – Books on Demand
Release : 2022-02-23
ISBN : 1839695544
Language : En, Es, Fr & De

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Book Description :

Advances in Fatigue and Fracture Testing and Modelling explores various aspects related to fatigue and fracture in metallic and non-metallic materials in terms of mechanical testing and numerical modelling. The book provides results of research work conducted by experts worldwide. It discusses fatigue failure of materials and presents possible numerical solutions. It also presents predictive models and finite element (FE) activities to illustrate the behaviour of materials in real-life conditions.

Publications Combined Over 100 Studies In Nanotechnology With Medical Military And Industrial Applications 2008 2017

Publications Combined   Over 100 Studies In Nanotechnology With Medical  Military And Industrial Applications 2008 2017 Book
Author : Anonim
Publisher : Jeffrey Frank Jones
Release : 2023-02-04
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Over 7,300 total pages ... Just a sample of the contents: Title : Multifunctional Nanotechnology Research Descriptive Note : Technical Report,01 Jan 2015,31 Jan 2016 Title : Preparation of Solvent-Dispersible Graphene and its Application to Nanocomposites Descriptive Note : Technical Report Title : Improvements To Micro Contact Performance And Reliability Descriptive Note : Technical Report Title : Delivery of Nanotethered Therapies to Brain Metastases of Primary Breast Cancer Using a Cellular Trojan Horse Descriptive Note : Technical Report,15 Sep 2013,14 Sep 2016 Title : Nanotechnology-Based Detection of Novel microRNAs for Early Diagnosis of Prostate Cancer Descriptive Note : Technical Report,15 Jul 2016,14 Jul 2017 Title : A Federal Vision for Future Computing: A Nanotechnology-Inspired Grand Challenge Descriptive Note : Technical Report Title : Quantifying Nanoparticle Release from Nanotechnology: Scientific Operating Procedure Series: SOP C 3 Descriptive Note : Technical Report Title : Synthesis, Characterization And Modeling Of Functionally Graded Multifunctional Hybrid Composites For Extreme Environments Descriptive Note : Technical Report,15 Sep 2009,14 Mar 2015 Title : Equilibrium Structures and Absorption Spectra for SixOy Molecular Clusters using Density Functional Theory Descriptive Note : Technical Report Title : Nanotechnology for the Solid Waste Reduction of Military Food Packaging Descriptive Note : Technical Report,01 Apr 2008,01 Jan 2015 Title : Magneto-Electric Conversion of Optical Energy to Electricity Descriptive Note : Final performance rept. 1 Apr 2012-31 Mar 2015 Title : Surface Area Analysis Using the Brunauer-Emmett-Teller (BET) Method: Standard Operating Procedure Series: SOP-C Descriptive Note : Technical Report,30 Sep 2015,30 Sep 2016 Title : Stabilizing Protein Effects on the Pressure Sensitivity of Fluorescent Gold Nanoclusters Descriptive Note : Technical Report Title : Theory-Guided Innovation of Noncarbon Two-Dimensional Nanomaterials Descriptive Note : Technical Report,14 Feb 2012,14 Feb 2016 Title : Deterring Emergent Technologies Descriptive Note : Journal Article Title : The Human Domain and the Future of Army Warfare: Present as Prelude to 2050 Descriptive Note : Technical Report Title : Drone Swarms Descriptive Note : Technical Report,06 Jul 2016,25 May 2017 Title : OFFSETTING TOMORROW'S ADVERSARY IN A CONTESTED ENVIRONMENT: DEFENDING EXPEDITIONARY ADVANCE BASES IN 2025 AND BEYOND Descriptive Note : Technical Report Title : A Self Sustaining Solar-Bio-Nano Based Wastewater Treatment System for Forward Operating Bases Descriptive Note : Technical Report,01 Feb 2012,31 Aug 2017 Title : Radiation Hard and Self Healing Substrate Agnostic Nanocrystalline ZnO Thin Film Electronics Descriptive Note : Technical Report,26 Sep 2011,25 Sep 2015 Title : Modeling and Experiments with Carbon Nanotubes for Applications in High Performance Circuits Descriptive Note : Technical Report Title : Radiation Hard and Self Healing Substrate Agnostic Nanocrystalline ZnO Thin Film Electronics (Per5 E) Descriptive Note : Technical Report,01 Oct 2011,28 Jun 2017 Title : High Thermal Conductivity Carbon Nanomaterials for Improved Thermal Management in Armament Composites Descriptive Note : Technical Report Title : Emerging Science and Technology Trends: 2017-2047 Descriptive Note : Technical Report Title : Catalysts for Lightweight Solar Fuels Generation Descriptive Note : Technical Report,01 Feb 2013,31 Jan 2017 Title : Integrated Real-Time Control and Imaging System for Microbiorobotics and Nanobiostructures Descriptive Note : Technical Report,01 Aug 2013,31 Jul 2014