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Author : D. S. Griffin
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Numerical Solution for Plane Elasticity Problems written by D. S. Griffin and published by . This book was released on 1962 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. S. Griffin
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Numerical Solution for Plate Bending Problems written by D. S. Griffin and published by . This book was released on 1963 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Kikuchi
Publisher : SIAM
ISBN 13 : 9781611970845
Total Pages : 508 pages
Book Rating : 4.9/5 (78 download)
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.
Author : Long'an Ying
Publisher : World Scientific
ISBN 13 : 9812702180
Total Pages : 280 pages
Book Rating : 4.8/5 (127 download)
Download or read book Numerical Methods for Exterior Problems written by Long'an Ying and published by World Scientific. This book was released on 2006 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation for the methods.
Author : A.M. Linkov
Publisher : Springer Science & Business Media
ISBN 13 : 9401599149
Total Pages : 286 pages
Book Rating : 4.4/5 (15 download)
Download or read book Boundary Integral Equations in Elasticity Theory written by A.M. Linkov and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.
Author : William F. Ames
Publisher : Academic Press
ISBN 13 : 0080571301
Total Pages : 467 pages
Book Rating : 4.0/5 (85 download)
Download or read book Numerical Methods for Partial Differential Equations written by William F. Ames and published by Academic Press. This book was released on 2014-06-28 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation. Material on finite elements and finite differences have been merged, and now constitute equal partners Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods References have been updated, and reflect the additional material Self-contained nature of the Second Edition has been maintained Very suitable for PDE courses
Author : Jian-Ke Lu
Publisher :
ISBN 13 : 9789812831347
Total Pages : 0 pages
Book Rating : 4.8/5 (313 download)
Download or read book Complex Variable Methods in Plane Elasticity written by Jian-Ke Lu and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. I. General theory. 1. Basic concepts and formulas -- 2. Stress functions -- 3. The stresses and displacements under transformation of coordinate system -- 4. Complex expressions for certain mechanical quantities -- 5. Boundary conditions of fundamental problems: the case of bounded and simply connected regions -- 6. The case of bounded and multi-connected regions -- 7. The case of unbounded regions -- 8. Modified second fundamental problems under general relative displacements -- ch. II. General methods of solution for fundamental problems. 9. First fundamental problems for bounded and simply connected regions -- 10. First fundamental problems for the infinite plane with a hole -- 11. First fundamental problems for multi-connected regions -- 12. The general method of solution for second fundamental problems -- 13. The method of solution for modified second fundamental problems -- ch. III. Methods of solution for various particular problems. 14. The case of circular region -- 15. The case of infinite plane with a circular hole -- 16. The case of circular ring region -- 17. Applications of conformal mapping -- 18. The case of half-plane -- 19. The case of cyclic symmetry -- 20. The methods of solution for cyclically symmetric problems -- ch. IV. Problems with compound boundary conditions. 21. Mixed boundary problems -- 22. First fundamental problems of welding -- 23. Second fundamental problems of welding -- 24. Welding in the whole plane, some examples -- ch. V. Fundamental crack problems. 25. General expressions of complex stress functions -- 26. First fundamental problems for the infinite plane with cracks -- 27. Second fundamental problems for the infinite plane with cracks -- 28. Collinear or co-circular cracks in the infinite plane -- 29. Crack problems for bounded regions -- 30. Simplification of the method of solution for first fundamental problems -- ch. VI. Fundamental crack problems of composite materials. 31. Fundamental crack problems of composite materials in the infinite plane -- 32. The welding problem for a circular plate with a straight crack -- 33. The welding problem for two half-planes with cracks -- 34. Fundamental crack problems of composite materials for a bounded region
Author : Jian-Ke Lu
Publisher : World Scientific
ISBN 13 : 9789810220938
Total Pages : 246 pages
Book Rating : 4.2/5 (29 download)
Download or read book Complex Variable Methods in Plane Elasticity written by Jian-Ke Lu and published by World Scientific. This book was released on 1995 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.
Author : Chester L. Davis
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.3/5 (129 download)
Download or read book Iterative Solutions of Plane Elastostatic Problems written by Chester L. Davis and published by . This book was released on 1965 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John H. Giese
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.F/5 ( download)
Download or read book A Bibliography for the Numerical Solution of Partial Differential Equations written by John H. Giese and published by . This book was released on 1969 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).
Author :
Publisher :
ISBN 13 :
Total Pages : 1280 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1980 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Natalya Vaysfeld
Publisher : Springer Nature
ISBN 13 : 3031378261
Total Pages : 173 pages
Book Rating : 4.0/5 (313 download)
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.
Author : You-He Zhou
Publisher : Springer Nature
ISBN 13 : 9813366435
Total Pages : 478 pages
Book Rating : 4.8/5 (133 download)
Download or read book Wavelet Numerical Method and Its Applications in Nonlinear Problems written by You-He Zhou and published by Springer Nature. This book was released on 2021-03-09 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
Author : Yuan Y. Tang
Publisher : Springer
ISBN 13 : 3540453334
Total Pages : 470 pages
Book Rating : 4.5/5 (44 download)
Download or read book Wavelet Analysis and Its Applications written by Yuan Y. Tang and published by Springer. This book was released on 2003-06-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Wavelet Analysis and Its Applications, WAA 2001, held in Hong Kong, China in December 2001. The 24 revised full papers and 27 revised short papers presented were carefully reviewed and selected from a total of 67 full paper submissions. The book offers topical sections on image compression and coding, video coding and processing, theory, image processing, signal processing, and systems and applications.
Author : John T. Katsikadelis
Publisher : Academic Press
ISBN 13 : 0128020105
Total Pages : 466 pages
Book Rating : 4.1/5 (28 download)
Download or read book The Boundary Element Method for Engineers and Scientists written by John T. Katsikadelis and published by Academic Press. This book was released on 2016-10-10 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design. In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book's companion website. - Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications - This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations - Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems
Author : Arthur P. Boresi
Publisher : John Wiley & Sons
ISBN 13 : 0470880384
Total Pages : 531 pages
Book Rating : 4.4/5 (78 download)
Download or read book Elasticity in Engineering Mechanics written by Arthur P. Boresi and published by John Wiley & Sons. This book was released on 2010-12-01 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory, including nano- and biomechanics, but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.
