Thermoelastic Fracture Mechanics Using Boundary Elements PDF Download
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Author: Diego N. Dell'Erba
Publisher: WIT Press (UK)
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
A description of the formulation and implementation of the dual boundary element method (DBEM) as applied to 3-D fracture mechanics in thermoelasticity. J-integral implementation and crack growth simulation are included. The work achieves the mixed-mode SIF through a decomposition technique and features methods that allow easy 3-D crack growth simulation under thermomechanical loads. It is designed to be used by postgraduate students and researchers in academia and industry.
Author: Diego N. Dell'Erba
Publisher: WIT Press (UK)
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
A description of the formulation and implementation of the dual boundary element method (DBEM) as applied to 3-D fracture mechanics in thermoelasticity. J-integral implementation and crack growth simulation are included. The work achieves the mixed-mode SIF through a decomposition technique and features methods that allow easy 3-D crack growth simulation under thermomechanical loads. It is designed to be used by postgraduate students and researchers in academia and industry.
Author: George C. Sih
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 440
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Book Description
The assessment of crack initiation and/or propagation has been the subject of many past discussions on fracture mechanics. Depending on how the chosen failure criterion is combined with the solution of a particular theory of continuum mechanics, the outcome could vary over a wide range. Mod elling of the material damage process could be elusive if the scale level of observation is left undefined. The specification of physical dimension alone is not sufficient because time and temperature also play an intimate role. It is only when the latter two variables are fixed that failure predictions can be simplified. The sudden fracture of material with a pre-existing crack is a case in point. Barring changes in the local temperature,* the energy released to create a unit surface area of an existing crack can be obtained by considering the change in elastic energy of the system before and after crack extension. Such a quantity has been referred to as the critical energy release rate, G e, or stress intensity factor, K Ie. Other parameters, such as the crack opening displacement (COD), path-independent J-integral, etc. , have been proposed; their relation to the fracture process is also based on the energy release concept. These one-parameter approaches, however, are unable simultaneously to account for the failure process of crack initiation, propagation and onset of rapid fracture. A review on the use of G, K I, COD, J, etc. , has been made by Sih [1,2].
Author: John P. Wolf
Publisher: John Wiley & Sons
ISBN: 9780471486824
Category : Technology & Engineering
Languages : en
Pages : 398
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Book Description
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.
Author: Xiaohong Chen
Publisher: World Scientific
ISBN: 184816663X
Category : Mathematics
Languages : en
Pages : 326
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Book Description
Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities. Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource.
Author: Andrea Braides
Publisher: Springer Science & Business Media
ISBN: 9783540647713
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.
Author: L.P. Pook
Publisher: WIT Press
ISBN: 1853127035
Category : Technology & Engineering
Languages : en
Pages : 177
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Book Description
This book fulfills the need for a short, modern, introductory text on linear elastic fracture mechanics and its engineering applications. Suitable for use by engineering undergraduates, and other newcomers to the subject, it:- • Explains the main ideas underlying present day linear elastic fracture mechanics and how these have been developed. • Shows how the ideas can be used to carry out calculations answering the question 'Does this crack matter?' from the viewpoint of an engineering designer. • Provides an understanding of the basis of standard methods and software employed to carry out calculations. • Includes additional, more advanced material, where this will increase understanding of the sometimes formidable mathematics involved, and of the various simplifications and approximations used in practical applications. The author includes all the material central to an undergraduate introductory course and ends each chapter with an overview of the material covered to aid accessibility. Familiarity with the mechanical properties of metallic materials, and with the linear elastic stress analysis of uncracked bodies is assumed.
Author: R. Talreja
Publisher: Elsevier Science
ISBN: 9780444888525
Category : Technology & Engineering
Languages : en
Pages : 306
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Book Description
Damage mechanics is concerned with mechanics-based analyses of microstructural events in solids responsible for changes in their response to external loading. The microstructural events can occur as cracks, voids, slipped regions, etc., with a spatial distribution within the volume of a solid. If a solid contains oriented elements in its microsctructure, e.g. fibers, the heterogeneity and asisotropy aspects create situations which form a class of problems worthy of special treatment. This book deals with such treatments with particular emphasis on application to technological composite materials. Chapter one describes the basic principles underlying both the micromechanics approach and the continuum damage mechanics approach. It also reviews the relevant statistical concepts. The next three chapters are devoted to developments of the continuum damage mechanics approach related to characterization of damage with internal variables, evolution of damage and its coupling with other inelastic effects such as plasticity. Chapter 5 describes observations of damage from notches in composite laminates and puts forward some pragmatic modelling ideas for a complex damage configuration. The next two chapters form the bulk of the micromechanics approach in this volume. The first one deals with microcracking and the other with interfacial damage in composite materials.
Author: Blaise Bourdin
Publisher: Springer Science & Business Media
ISBN: 1402063954
Category : Technology & Engineering
Languages : en
Pages : 173
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Book Description
Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.
Author: Chongmin Song
Publisher: John Wiley & Sons
ISBN: 1119388155
Category : Science
Languages : en
Pages : 500
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Book Description
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.
Author: K. Friedrich
Publisher: Elsevier
ISBN: 0444597212
Category : Technology & Engineering
Languages : en
Pages : 686
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Book Description
This multiauthor volume provides a useful summary of current knowledge on the application of fracture mechanics to composite materials. It has been written to fill the gap between the literature on fundamental principles of fracture mechanics and the special publications on the fracture properties of conventional materials, such as metals, polymers and ceramics.The data are represented in the form of about 420 figures (including diagrams, schematics and photographs) and 80 tables. The author index covers more than 500 references, and the subject index more than 1000 key words.
