fundamentals of enriched finite element methods

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Extended Finite Element Method
Author : Amir R. Khoei
Publisher : John Wiley & Sons
Release Date : 2015-02-23
ISBN 10 : 1118457684
Pages : 584 pages

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
Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Elsevier
Release Date : 2005-05-26
ISBN 10 : 9780080472775
Pages : 752 pages

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
Publisher : PHI Learning Pvt. Ltd.
Release Date : 2016-03-12
ISBN 10 : 8120351827
Pages : 492 pages

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.

Extended Finite Element Method
Author : Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
Publisher : Academic Press
Release Date : 2014-03-24
ISBN 10 : 0124078567
Pages : 286 pages

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

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
ISBN 10 : 3319714317
Pages : 361 pages

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.

Finite Element Procedures
Author : Klaus-Jürgen Bathe
Publisher : Klaus-Jurgen Bathe
Release Date : 2006
ISBN 10 : 9780979004902
Pages : 1037 pages

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
ISBN 10 : 1118535448
Pages : 464 pages

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

Crystal Plasticity Finite Element Methods
Author : Franz Roters,Philip Eisenlohr,Thomas R. Bieler,Dierk Raabe
Publisher : John Wiley & Sons
Release Date : 2011-08-04
ISBN 10 : 3527642099
Pages : 208 pages

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
Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Release Date : 2013-03-09
ISBN 10 : 3662052296
Pages : 330 pages

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.

Author : N.A
Publisher : N.A
Release Date : 2002
ISBN 10 :
Pages : 329 pages

Probabilistic Structural Mechanics Handbook
Author : C.R. Sundararajan
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
ISBN 10 : 1461517710
Pages : 745 pages

The need for a comprehensive book on probabilistic structural mechanics that brings together the many analytical and computational methods developed over the years and their applications in a wide spectrum of industries-from residential buildings to nuclear power plants, from bridges to pressure vessels, from steel structures to ceramic structures-became evident from the many discussions the editor had with practising engineers, researchers and professors. Because no single individual has the expertise to write a book with such a di.verse scope, a group of 39 authors from universities, research laboratories, and industries from six countries in three continents was invited to write 30 chapters covering the various aspects of probabilistic structural mechanics. The editor and the authors believe that this handbook will serve as a reference text to practicing engineers, teachers, students and researchers. It may also be used as a textbook for graduate-level courses in probabilistic structural mechanics. The editor wishes to thank the chapter authors for their contributions. This handbook would not have been a reality without their collaboration.

Polymer Matrix Composites
Author : Anthony Kelly
Publisher : N.A
Release Date : 1968
ISBN 10 : 9780080437200
Pages : 1129 pages

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.