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The Application To Mixed Boundary Value Problems In Elasticity Of Integral Transforms Of Mellin Type
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Book Synopsis The Application to Mixed Boundary Value Problems in Elasticity of Integral Transforms of Mellin Type by : Gavin John Longmuir
Download or read book The Application to Mixed Boundary Value Problems in Elasticity of Integral Transforms of Mellin Type written by Gavin John Longmuir and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Application to Mixed Boundary Value Problems in Elasticity of Integral Transforms of Mellin Type by : Gavin John Longmuir
Download or read book The Application to Mixed Boundary Value Problems in Elasticity of Integral Transforms of Mellin Type written by Gavin John Longmuir and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Mixed Boundary Value Problems in the Linear Theory of Elasticity by : Ian Naismith Sneddon
Download or read book Lectures on Mixed Boundary Value Problems in the Linear Theory of Elasticity written by Ian Naismith Sneddon and published by . This book was released on 1979 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Dual Integral Equations by : B.N. Mandal
Download or read book Advances in Dual Integral Equations written by B.N. Mandal and published by Routledge. This book was released on 2022-01-26 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel.
Book Synopsis Boundary Integral Equation Methods and Numerical Solutions by : Christian Constanda
Download or read book Boundary Integral Equation Methods and Numerical Solutions written by Christian Constanda and published by Springer. This book was released on 2016-03-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems.
Book Synopsis Advanced Boundary Element Methods by : Joachim Gwinner
Download or read book Advanced Boundary Element Methods written by Joachim Gwinner and published by Springer. This book was released on 2018-07-28 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Book Synopsis Integral Equations And Boundary Value Problems - Proceedings Of The International Conference by : Guo Chun Wen
Download or read book Integral Equations And Boundary Value Problems - Proceedings Of The International Conference written by Guo Chun Wen and published by #N/A. This book was released on 1991-03-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.
Book Synopsis Mixed Boundary Value Problems by : Dean G. Duffy
Download or read book Mixed Boundary Value Problems written by Dean G. Duffy and published by CRC Press. This book was released on 2008-03-26 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat
Book Synopsis The Solution of Mixed Boundary Value Problems in the Theory of Elasticity by a Boundary Integral Equation Technique by : John Hans Bode
Download or read book The Solution of Mixed Boundary Value Problems in the Theory of Elasticity by a Boundary Integral Equation Technique written by John Hans Bode and published by . This book was released on 1976 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mixed Boundary Problems in Solid Mechanics by : Natalya Vaysfeld
Download or read book Mixed Boundary Problems in Solid Mechanics written by Natalya Vaysfeld and published by Springer Nature. This book was released on 2023-09-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies. The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.
Book Synopsis Solutions by Dual Integral Equations of Mixed Boundary Value Problems in Elasticity ... by : Frederick Chong
Download or read book Solutions by Dual Integral Equations of Mixed Boundary Value Problems in Elasticity ... written by Frederick Chong and published by . This book was released on 1952 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Classical Models Of The Theory Of Boundary Value Problems by : Manana Chumburidze
Download or read book Non-Classical Models Of The Theory Of Boundary Value Problems written by Manana Chumburidze and published by LAP Lambert Academic Publishing. This book was released on 2014-07-02 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the monograph non-classical models of the some Theory of boundary value problems are considered. Basic concepts of dynamic problems of deformable solid elastic bodies of the generalized Green-Lindsay theories of couple-stress thermo-elasticity and couple-stress thermo-diffusion for isotropic, homogeneous elastic media are study . There is worked out the general theory of solvability of dynamical problems for conjugated system of differential equations of thermo-piezoelasticity, formulated by Toupin - Mindlin, the diffusion models of linear theory of a two-component elastic mixture using the methods the Laplace integral transform, potential method and singular integral equations. effective solution of boundary value problems for a half-plane are constructed. They are solved explicitly by using the Fourier's integrals. Approximate solution of some mixed boundary value problems for finite domain, bounded by the some closed surface are constructed. They are solved explicitly by using the generalized Fourier's series method.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas
Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary; integral representations for linear boundary value problems; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.
Book Synopsis Transforming Domain into Boundary Integrals in BEM by : Weifeng Tang
Download or read book Transforming Domain into Boundary Integrals in BEM written by Weifeng Tang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: CHAPTER 1 1-1 NUMERICAL METHODS For the last two or three decades, scientists and engineers have used numerical methods as an important tool in many different areas. This significant fact has its inexorable historical trend and it is the inevitable outcome of the recent developments in science, technology and industry. Analytical methods have been developed for a long period and have produced a great amount of successful results, but they failed to solve most practical engineering problems with complicated boundary conditions or irregular geometry. It is also very difficult to solve non-linear or time-dependent problems using analytical approaches, even if they are very simple. On the other hand, research on analytical methods has provided a solid foundation for different types of numerical methods. Because of the rapid developments of science and technology it is now necessary to solve complicated problems using more efficient and accurate approaches than before. Not only problems with complicated boundary conditions or irregular configurations require solutions but also non-linear or time-dependent problems must be solved. Computer hardware and software have developed at an unexpected high speed. During the last thirty years, ithaz become possible for scientists and engineers to use numerical methods with computers easily. This has 2 stimulated scientists and engineers to improve some classical numerical methods (such as finite difference method) and to establish new numerical methods (such as the finite element method and boundary element method). For all these reasons, numerical methods have rapidly developed in the areas of mechanics and engineering.
Book Synopsis Topics in Boundary Element Research by : C. A. Brebbia
Download or read book Topics in Boundary Element Research written by C. A. Brebbia and published by . This book was released on 1984 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Past volumes of this series have concentrated on the theoretical and the more formal aspects of the boundary element method. The present book instead stresses the computational aspects of the technique and its applications with the objective of facilitating the implementation of BEM in the engineering industry and its better understanding in the teaching and research environments. The book starts by discussing the topics of convergence of solutions, application to nonlinear problems and numerical integration. This is followed by a long chapter on the computational aspects of the method, discussing the different numerical schemes and the way in which influence functions can be computed. Three separate chapters deal with important techniques which are related to classical boundary elements, namely the edge method, multigrid schemes and the complex variable boundary element approach. The last two chapters are of special interest as they present and explain in detail two FORTRAN codes which have numerous applications in engineering, i.e. a code for the solution of potential problems and another for elastostatics. Each sub routine in the programs is listed and explained. The codes follow the same format as the ones in the classical book "The Boundary Element Method for Engineers" (by C. A. Brebbia, Computational Mechanics Publications, first published in 1978) but are more advanced in terms of elements and capabilities. In particular the new listings deal with symmetry, linear elements for the two dimensional elasticity, some mixed type of boundary conditions and the treatment of infinite regions.
Book Synopsis Singularities and Constructive Methods for Their Treatment by : Pierre Grisvard
Download or read book Singularities and Constructive Methods for Their Treatment written by Pierre Grisvard and published by Springer. This book was released on 2006-11-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
