Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method PDF Download
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Author | : Dominique Segond |
Publisher | : |
Total Pages | : 176 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Stress Analysis of Three-dimensional Contact Problems Without Friction Using the Boundary Element Method Book in PDF, ePub and Kindle
Author | : Susumu Takahashi |
Publisher | : Lecture Notes in Earth Science |
Total Pages | : 232 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : |
Download Elastic Contact Analysis by Boundary Elements Book in PDF, ePub and Kindle
This book presents a new formulation of the boundary element method for two-dimensional and axisymmetric contact problems. The solution procedure includes the effects of non-frictional as well as frictional contact between elastic bodies. Following a literature survey of various experimental and analytical approaches for solving elastic contact problems, a comprehensive review of numerical techniques used for analyses of contact problems is presented. The boundary element formulations for two-, three-dimensional and axisymmetric problems in elasticity are derived and numerical implementation using constant and linear elements is described. For analysis of contact problems, boundary elements are employed to compute flexibility matrices representing the relationship between tractions and displacements only at nodes coming into contact. The contact analysis is performed using the flexibility matrices in conjunction with contact boundary conditions. In this approach, only equations corresponding to the node coming into contact are required and consequently very efficient computation is achieved. Furthermore, the boundary element analysis and the contact analysis are performed separately, which makes it easy to implement the contact analysis procedure into boundary element codes. A new contact criterion for nodes coming into contact is proposed. Load incremental and iterative schemes are used to obtain accurate solutions. Some classical Hertz and non-Hertz contact problems are studied and results are found to be in good agreement with analytical and other numerical solutions.
Author | : Ghodratollah Karami |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 3642838979 |
Download Lecture Notes in Engineering Book in PDF, ePub and Kindle
The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed.
Author | : C. A. Brebbia |
Publisher | : |
Total Pages | : 472 |
Release | : 1989 |
Genre | : Boundary element methods |
ISBN | : 9781853120268 |
Download Advances in Boundary Elements Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1990 |
Genre | : |
ISBN | : |
Download Conferentie database marketing voor de consumentenmarkt, Marketing and Communications Center, Maarssen, 29 en 30 maart 1990 Book in PDF, ePub and Kindle
Author | : Ghodratollah Karami |
Publisher | : |
Total Pages | : 264 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : |
Download A Boundary Element Method for Two-dimensional Contact Problems Book in PDF, ePub and Kindle
Author | : J. Balaš |
Publisher | : Elsevier |
Total Pages | : 699 |
Release | : 2013-10-22 |
Genre | : Technology & Engineering |
ISBN | : 148329174X |
Download Stress Analysis by Boundary Element Methods Book in PDF, ePub and Kindle
The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.
Author | : A. Faraji |
Publisher | : WIT Press (UK) |
Total Pages | : 152 |
Release | : 2005 |
Genre | : Science |
ISBN | : |
Download Elastic and Elastoplastic Contact Analysis Book in PDF, ePub and Kindle
Presents a general elastic and elastoplastic analysis method for the treatment of two- and three-dimensional contact problems between two deformable bodies undergoing small displacements with and without friction. The author's approach uses the Boundary Element Method (BEM) and Mathematical Programming (MP).
Author | : Timothy Mark Foster |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Real-time Stress Analysis of Three-dimensional Boundary Element Problems with Continuously Updating Geometry Book in PDF, ePub and Kindle
Computational design of mechanical components is an iterative process that involves multiple stress analysis runs; this can be time consuming and expensive. Significant improvements in the efficiency of this process can be made by increasing the level of interactivity. One approach is through real-time re-analysis of models with continuously updating geometry. In this work the boundary element method is used to realise this vision. Three primary areas need to be considered to accelerate the re-solution of boundary element problems. These are re-meshing the model, updating the boundary element system of equations and re-solution of the system. Once the initial model has been constructed and solved, the user may apply geometric perturbations to parts of the model. A new re-meshing algorithm accommodates these changes in geometry whilst retaining as much of the existing mesh as possible. This allows the majority of the previous boundary element system of equations to be re-used for the new analysis. Efficiency is achieved during re-integration by applying a reusable intrinsic sample point (RISP) integration scheme with a 64-bit single precision code. Parts of the boundary element system that have not been updated are retained by the re-analysis and integrals that multiply zero boundary conditions are suppressed. For models with fewer than 10,000 degrees of freedom, the re-integration algorithm performs up to five times faster than a standard integration scheme with less than 0.15% reduction in the L_2-norm accuracy of the solution vector. The method parallelises easily and an additional six times speed-up can be achieved on eight processors over the serial implementation. The performance of a range of direct, iterative and reduction based linear solvers have been compared for solving the boundary element system with the iterative generalised minimal residual (GMRES) solver providing the fastest convergence rate and the most accurate result. Further time savings are made by preconditioning the updated system with the LU decomposition of the original system. Using these techniques, near real-time analysis can be achieved for three-dimensional simulations; for two-dimensional models such real-time performance has already been demonstrated.
Author | : Chongmin Song |
Publisher | : John Wiley & Sons |
Total Pages | : 504 |
Release | : 2018-06-19 |
Genre | : Science |
ISBN | : 1119388457 |
Download The Scaled Boundary Finite Element Method Book in PDF, ePub and Kindle
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.