The Development And Solution Of Boundary Integral Equations For Crack Problems In Fracture Mechanics

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The Development And Solution Of Boundary Integral Equations For Crack Problems In Fracture Mechanics
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Author : L. T. Montulli
language : en
Publisher:
Release Date : 1976
The Development And Solution Of Boundary Integral Equations For Crack Problems In Fracture Mechanics written by L. T. Montulli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Boundary value problems categories.
The elastostatic Boundary Integral Equation (B.I.E.) method is mathematically extended to include closed crack plane boundary value problems under general loading. The B.I.E. is formulated for a modified open crack geometry. By the formulation of a sum and difference state over the crack surfaces, a limit operation closing the crack is successfully performed. The resulting integral equation set is solved for two example problems possessing known solutions. The stress intensity factors, K(I), K(II), and K(III), and the resulting strain energy of the body are calculated and found to be accurate within 1% when compared to the analytical solution. The bent edge crack in a finite circular disk subject to mixed mode loading is investigated. Initial crack trajectories are predicted using the strain energy release rate criterion and compared to known results.
Progress In Boundary Element Methods
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Author : BREBBIA
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Progress In Boundary Element Methods written by BREBBIA 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 2013-11-11 with Social Science categories.
A substantial amount of research on Boundary Elements has taken place since publication of the first Volume of this series. Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical techniques to increase the efficiency of the method. Chapter 1 of this Volume deals with the solution of non-linear potential problems, for which the diffusivity coefficient is a function of the potential and the boundary conditions are also non-linear. The recent research reported here opens the way for the solution of a: large range of non-homogeneous problems by using a simple transformation which linearizes the governing equations and consequently does not require the use of internal cells. Chapter 2 summarizes the main integral equations for the solution of two-and three dimensional scalar wave propagation problems. This is a type of problem that is well suited to boundary elements but generally gives poor results when solved using finite elements. The problem of fracture mechanics is studied in Chapter 3, where the ad vantages of using boundary integral equations are demonstrated. One of the most interesting features of BEM i~ the possibility of describing the problem only as a function of the boundary unknowns, even in the presence of body, centrifugal and temperature induced forces. Chapter 4 explains how this can be done for two-and three-dimensional elastostatic problems.
Boundary Element Techniques In Computer Aided Engineering
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Author : C.A. Brebbia
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Techniques In Computer Aided Engineering written by C.A. Brebbia 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 2012-12-06 with Mathematics categories.
This book constitutes the edited proceedings of the Advanced Studies Institute on Boundary Element Techniques in Computer Aided Engineering held at The Institute of Computational Mechanics, Ashurst Lodge, Southampton, England, from September 19 to 30, 1984. The Institute was held under the auspices of the newly launched "Double Jump Programme" which aims to bring together academics and industrial scientists. Consequently the programme was more industr ially based than other NATO ASI meetings, achieving an excellent combination of theoretical and practical aspects of the newly developed Boundary Element Method. In recent years engineers have become increasingly interested in the application of boundary element techniques for'the solution of continuum mechanics problems. The importance of boundary elements is that it combines the advantages of boundary integral equations (i.e. reduction of dimensionality of the problems, possibility of modelling domains extending to infinity, numerical accura'cy) with the versatility of finite elements (i.e. modelling of arbitrary curved surfaces). Because of this the technique has been well received by the engineering and scientific communities. Another important advantage of boundary elements stems from its reduction of dimensionality, that is that the technique requires much less data input than classical finite elements. This makes the method very well suited for Computer Aided Design and in great part explains the interest of the engineering profession in the new technique.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Finite Elements In Fracture Mechanics
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Author : Meinhard Kuna
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-19
Finite Elements In Fracture Mechanics written by Meinhard Kuna 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 2013-07-19 with Science categories.
Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
Singularities And Constructive Methods For Their Treatment
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Author : Pierre Grisvard
language : en
Publisher: Springer
Release Date : 2006-11-14
Singularities And Constructive Methods For Their Treatment written by Pierre Grisvard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Comprehensive Structural Integrity
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Author : I. Milne
language : en
Publisher: Elsevier
Release Date : 2003
Comprehensive Structural Integrity written by I. Milne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Comprehensive Structural Integrity
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Author : Ian Milne
language : en
Publisher: Elsevier
Release Date : 2003-07-25
Comprehensive Structural Integrity written by Ian Milne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-25 with Business & Economics categories.
The aim of this major reference work is to provide a first point of entry to the literature for the researchers in any field relating to structural integrity in the form of a definitive research/reference tool which links the various sub-disciplines that comprise the whole of structural integrity. Special emphasis will be given to the interaction between mechanics and materials and structural integrity applications. Because of the interdisciplinary and applied nature of the work, it will be of interest to mechanical engineers and materials scientists from both academic and industrial backgrounds including bioengineering, interface engineering and nanotechnology. The scope of this work encompasses, but is not restricted to: fracture mechanics, fatigue, creep, materials, dynamics, environmental degradation, numerical methods, failure mechanisms and damage mechanics, interfacial fracture and nano-technology, structural analysis, surface behaviour and heart valves. The structures under consideration include: pressure vessels and piping, off-shore structures, gas installations and pipelines, chemical plants, aircraft, railways, bridges, plates and shells, electronic circuits, interfaces, nanotechnology, artificial organs, biomaterial prostheses, cast structures, mining... and more. Case studies will form an integral part of the work.
Computational Mechanics 86
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Author : Genki Yagawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Computational Mechanics 86 written by Genki Yagawa 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 2013-11-11 with Science categories.
It is often said that these days there are too many conferences on general areas of computational mechanics. mechanics. and numer ical methods. vJhile this may be true. the his tory of scientific conferences is itself quite short. According to Abraham Pais (in "Subtle is the Lord ...• " Oxford University Press. 1982. p.80). the first international scientific conference ever held was the Karlsruhe Congress of Chemists. 3-5 September 1860 in Karlsruhe. Germany. There were 127 chemists in attendance. and the participants came from Austria. Belgium. France. Germany. Great Britain. Italy. Mexico. Poland. Russia. Spain. Sweden. and Switzerland. At the top of the agenda of the points to be discussed at this conference was the question: "Shall a difference be made between the expressions molecule and atom?" Pais goes on to note: "The conference did not at once succeed in bringing chemists closer together ... It is possible that the older men were offended by the impetuous behavior and imposing manner of the younger scientists" (see references cited in Pais' book). It may be observed that history. in general. repeats itself. However. at ICCM-86 in Tokyo. roughly 500 participants from both the West and the East were in attendance; there were only scholarly exchanges; the young tried to learn from the more experienced. and a spirit of international academic cooperation prevailed.