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Elastic Contact Analysis By Boundary Elements
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Book Synopsis Elastic Contact Analysis by Boundary Elements by : Susumu Takahashi
Download or read book Elastic Contact Analysis by Boundary Elements written by Susumu Takahashi and published by Springer. This book was released on 1991-06-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elastic Contact Analysis by Boundary Elements by : Susumu Takahashi
Download or read book Elastic Contact Analysis by Boundary Elements written by Susumu Takahashi and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elastic and Elastoplastic Contact Analysis by : A. Faraji
Download or read book Elastic and Elastoplastic Contact Analysis written by A. Faraji and published by WIT Press (UK). This book was released on 2005 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Contact Mechanics Using Boundary Elements by : K. W. Man
Download or read book Contact Mechanics Using Boundary Elements written by K. W. Man and published by . This book was released on 1994 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecture Notes in Engineering by : Ghodratollah Karami
Download or read book Lecture Notes in Engineering written by Ghodratollah Karami and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stress Analysis of Elastic Contact Problems by the Boundary Element Method by : S. Takahashi
Download or read book Stress Analysis of Elastic Contact Problems by the Boundary Element Method written by S. Takahashi and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stress Analysis by Boundary Element Methods by : J. Balaš
Download or read book Stress Analysis by Boundary Element Methods written by J. Balaš and published by Elsevier. This book was released on 2013-10-22 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Boundary Element Method for Two-dimensional Contact Problems by : Ghodratollah Karami
Download or read book A Boundary Element Method for Two-dimensional Contact Problems written by Ghodratollah Karami and published by . This book was released on 1989 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spatial Contact Problems in Geotechnics by : Sergey Aleynikov
Download or read book Spatial Contact Problems in Geotechnics written by Sergey Aleynikov and published by Springer Science & Business Media. This book was released on 2010-11-10 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the boundary element method new techniques and effective computing algorithms are considered. Special attention is given to the formulation and analysis of the spatial contact models for elastic bases. Besides the classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media properly describing soil properties.
Book Synopsis Advances in Boundary Elements by : C. A. Brebbia
Download or read book Advances in Boundary Elements written by C. A. Brebbia and published by . This book was released on 1989 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Elements by : C. A. Brebbia
Download or read book Boundary Elements written by C. A. Brebbia and published by WIT Press. This book was released on 1994-05-31 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling text provides a simple introduction to the Boundary Element Method. Based on the authors' long teaching experience it is designed to convey in the most effective manner the fundamentals of the method. The book is presented in a way which makes it accessible to both undergraduate and graduate students as well as to practising engineers who want to learn the foundations of the technique. Of particular interest is the way in which Boundary Element concepts are introduced and immediately applied in simple, but useful, computer codes to facilitate understanding. A CD with the complete listing of program codes in Fortran is also included.
Book Synopsis The Use of Boundary Elements in Elastic Contact Problems by : Torbjörn Andersson
Download or read book The Use of Boundary Elements in Elastic Contact Problems written by Torbjörn Andersson and published by . This book was released on 1983 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contact Problems in Elasticity by : N. Kikuchi
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Book Synopsis Three-dimensional Elastic and Elastoplastic Frictional Contact Problems Analysis Using the Boundary Element Method & Mathematical Programming by : Ali Faraji
Download or read book Three-dimensional Elastic and Elastoplastic Frictional Contact Problems Analysis Using the Boundary Element Method & Mathematical Programming written by Ali Faraji and published by . This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Elasticity by : Mohammed Ameen
Download or read book Computational Elasticity written by Mohammed Ameen and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Anisotropic Analysis Using Boundary Elements by : N. A. Schclar
Download or read book Anisotropic Analysis Using Boundary Elements written by N. A. Schclar and published by WIT Press (UK). This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Elements IX: Stress analysis applications by : C. A. Brebbia
Download or read book Boundary Elements IX: Stress analysis applications written by C. A. Brebbia and published by . This book was released on 1987 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:
