Numerical Solution of Plane Elasticity Problems by a Finite Difference Method PDF Download

Author: Donald Craig Shumate
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 130

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Author: D. S. Griffin
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 52

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Author: Martin A. Eisenberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 71

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Book Description
A technique for the solution of a large class of plane elastic-plastic problems is presented and applied to the bending of a simply supported singled crystal beam. The solution of elastic-perfectly plastic problems is accomplished by means of an iterative scheme for the location of the elastic-plastic interface at given load levels. This necessitates the solution of the plane elasticity problem in domains with irregular boundaries and numerical methods are thus dictated. An appropriate finite difference method and computer code are described. This method and code can be readily extended to include effects of elastic anisotropy and non-homogeneity. (Author).

Author: Ivan Dimov
Publisher: Springer
ISBN: 3319202391
Category : Computers
Languages : en
Pages : 443

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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.

Author: Hotten Arthur Elleby
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 250

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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Xin-She Yang
Publisher: Luniver Press
ISBN: 1905986084
Category : Mathematics
Languages : en
Pages : 212

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Book Description
The book endeavors to strike a balance between mathematical and numerical coverage of a wide range of topics in fi nite element analysis. It strives to provide an introduction, especially for undergraduates and graduates, to fi nite element analysis and its applications. Topics include advanced calculus, differential equations, vector analysis, calculus of variations, fi nite difference methods, fi nite element methods and time-stepping schemes. The book also emphasizes the application of important numerical methods with dozens of worked examples. The applied topics include elasticity, heat transfer, and pattern formation. A few self-explanatory Matlab programs provide a good start for readers to try some of the methods and to apply the methods and techniques to their own modelling problems with some modifi cations. The book will perfectly serve as a textbook in fi nite element analysis, computational mathematics, mathematical modelling, and engineering computations.

Author: Nicholas Paul Dario
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 630

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Author: Arthur P. Boresi
Publisher: John Wiley & Sons
ISBN: 9780471316145
Category : Science
Languages : en
Pages : 640

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Book Description
"Arthur Boresi and Ken Chong's 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 but also on concrete applications in real engineering situations, this work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals."--BOOK JACKET.

Author: Long'an Ying
Publisher: World Scientific
ISBN: 9812772561
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates