Selected Problems Of Solid Mechanics And Solving Methods
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Selected Problems Of Solid Mechanics And Solving Methods
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2024-06-04
Selected Problems Of Solid Mechanics And Solving Methods written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with Science categories.
This book examines new approaches for the estimation of errors in approximate theories. Numerical and analytical methods in mechanics often require the establishment of a set of basic equations, and various approaches exist to create approximate theories from them. The problem is that nobody knows the boundaries of the estimation of errors in approximate theories. This book presents new approaches to overcome this problem and to provide the reader with suitable methods for the relevant field, including a representation of different scientific schools and different countries. These new methods are helping to solve many problems not only in analytical Mechanics but also in Physics, Mathematics, and Civil Engineering.
Methods Of Fundamental Solutions In Solid Mechanics
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Author : Hui Wang
language : en
Publisher: Elsevier
Release Date : 2019-06-06
Methods Of Fundamental Solutions In Solid Mechanics written by Hui Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with Technology & Engineering categories.
Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
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Author : O. C. Zienkiewicz
language : en
Publisher:
Release Date : 2005
written by O. C. Zienkiewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Finite element method categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1974
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.
Wavelet Numerical Method And Its Applications In Nonlinear Problems
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Author : You-He Zhou
language : en
Publisher: Springer Nature
Release Date : 2021-03-09
Wavelet Numerical Method And Its Applications In Nonlinear Problems written by You-He Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Technology & Engineering categories.
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.
Applied Mechanics Of Solids
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Author : Allan F. Bower
language : en
Publisher: CRC Press
Release Date : 2009-10-05
Applied Mechanics Of Solids written by Allan F. Bower and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-05 with Science categories.
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Finite Element Simulations Using Ansys
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Author : Esam M. Alawadhi
language : en
Publisher: CRC Press
Release Date : 2009-07-23
Finite Element Simulations Using Ansys written by Esam M. Alawadhi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-23 with Science categories.
The complexity of modern-day problems in mechanical engineering makes relying on pure theory or pure experiment impractical at best and time-consuming and unwieldy at worst. And for a large class of engineering problems writing computer codes from scratch is seldom found in practice. Use of reputable, trustworthy software can save time, effort, and
Introduction To Finite And Spectral Element Methods Using Matlab
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Author : Constantine Pozrikidis
language : en
Publisher: CRC Press
Release Date : 2014-06-20
Introduction To Finite And Spectral Element Methods Using Matlab written by Constantine Pozrikidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-20 with Mathematics categories.
Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using
Mechanics Of Solids And Structures Second Edition
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Author : Roger T. Fenner
language : en
Publisher: CRC Press
Release Date : 2012-06-12
Mechanics Of Solids And Structures Second Edition written by Roger T. Fenner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-12 with Technology & Engineering categories.
A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics. Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems. Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.
Problems Of Nonlinear Deformation
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Author : E.I. Grigolyuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Problems Of Nonlinear Deformation written by E.I. Grigolyuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.