Boundary Element Analysis In Computational Fracture Mechanics
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Boundary Element Analysis In Computational Fracture Mechanics
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Author : T.A. Cruse
language : en
Publisher: Springer Science & Business Media
Release Date : 1988-06-30
Boundary Element Analysis In Computational Fracture Mechanics written by T.A. Cruse and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06-30 with Science categories.
The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.
Advances In Boundary Element Methods For Fracture Mechanics
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Author : M. H. Aliabadi
language : en
Publisher: Computational Mechanics
Release Date : 1993
Advances In Boundary Element Methods For Fracture Mechanics written by M. H. Aliabadi and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Computational Methods In The Mechanics Of Fracture
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Author : Satya N. Atluri
language : en
Publisher: North Holland
Release Date : 1986
Computational Methods In The Mechanics Of Fracture written by Satya N. Atluri and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Technology & Engineering categories.
This volume not only covers the fundamental concepts of fracture mechanics, but also the computational methodologies necessary for practical engineering designs aimed at fracture control. It gives a concise summary of various fracture theories: linear elastic, elastic-plastic, and dynamic fracture mechanics of metals and composites. Novel numerical methods (finite element and boundary element) that enable the treatment of complicated engineering problems are emphasized. Examined are problems of linear elastic fracture of metallic and non-metallic composite materials, three-dimensional problems of surface flaws, elastic-plastic fracture, stable crack growth, and dynamic crack propagation. A comprehensive outline of the energetic approach and energy integrals on fracture mechanics is also given. Contents: Preface. Parts: I. Chapters: 1. Fracture: Mechanics or Art? (F. Erdogan). II. 2. Linear Elastic Fracture Mechanics (A.S. Kobayashi). 3. Elastic-Plastic Fracture (Quasi-Static) (S.N. Atluri and A.S. Kobayashi). 4. Dynamic Crack Propagation in Solids (L.B. Freund). 5. Energetic Approaches and Path-Independent Integrals in Fracture Mechanics (S.N. Atluri). III. 6.
The Scaled Boundary Finite Element Method
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Author : Chongmin Song
language : en
Publisher: John Wiley & Sons
Release Date : 2018-09-04
The Scaled Boundary Finite Element Method written by Chongmin Song and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-04 with Science categories.
An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Boundary Elements In Nonlinear Fracture Mechanics
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Author : V. M. A. Leitão
language : en
Publisher: Computational Mechanics
Release Date : 1994
Boundary Elements In Nonlinear Fracture Mechanics written by V. M. A. Leitão and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Green S Functions And Boundary Element Analysis For Modeling Of Mechanical Behavior Of Advanced Materials
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Author : J. R. Berger
language : en
Publisher: DIANE Publishing
Release Date : 1998-03
Green S Functions And Boundary Element Analysis For Modeling Of Mechanical Behavior Of Advanced Materials written by J. R. Berger and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03 with Mathematics categories.
Demonstrates the potential of Green's functions & boundary element methods in solving a broad range of practical materials science problems. Papers include: Accurate Discretization of Integral Operators, Boundary Element Analysis of Bimaterials Using Anisotropic Elastic Green's Functions, Mechanical Properties of Metal-Matrix Composites, Approximate Operators for Boundary Integral Equations in Transient Elastodynamics, Simulation of the Electrochemical Machining Process Using a 2D Fundamental Singular Solution, Elastic Green's Functions for Anisotropic Solids, & more. Charts & tables.
Boundary Element Analysis Of Cracks In Shear Deformable Plates And Shells
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Author : Tatacipta Dirgantara
language : en
Publisher: Computational Mechanics
Release Date : 2002
Boundary Element Analysis Of Cracks In Shear Deformable Plates And Shells written by Tatacipta Dirgantara and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Boundary element methods categories.
Illustrated throughout, this book presents a new set of boundary element formulations for the solution of bending problems in plates and shells. The book is part of the Topics in Engineering series.
The Scaled Boundary Finite Element Method
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Author : John P. Wolf
language : en
Publisher: John Wiley & Sons
Release Date : 2003-03-14
The Scaled Boundary Finite Element Method written by John P. Wolf and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-14 with Technology & Engineering categories.
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.
Boundary Elements And Other Mesh Reduction Methods Twenty Eight
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Author : C. A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2006
Boundary Elements And Other Mesh Reduction Methods Twenty Eight written by C. A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This volume contains papers from the World Conference on Boundary Elements and other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists within the areas of numerical analysis, boundary elements and meshless methods will find the text invaluable. Topics include: Advances in Mesh Reduction Methods; Meshless Techniques; Advanced Formulations; Dual Reciprocity Method; Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Structural Applications; Dynamics and Vibrations; Material Characterization; Acoustics; Electrical Engineering and Electromagnetics; Heat and Mass Transfer; Fluid Mechanics Problems; Wave Propagation; Inverse Problems and Computational Techniques.
Boundary Elements In Dynamics
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Author : J. Dominguez
language : en
Publisher: WIT Press
Release Date : 1993
Boundary Elements In Dynamics written by J. Dominguez and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Technology & Engineering categories.
A reference for those who need to acquire detailed knowledge of the formulation, implementation, and practical applications of BEM in dynamics. The author presents research on BEM in dynamics of continua. The main emphasis is on the development of the different boundary element formulations.