Skip to main content

Methods Of Fundamental Solutions In Solid Mechanics

In Order to Read Online or Download Methods Of Fundamental Solutions In Solid Mechanics Full eBooks in PDF, EPUB, Tuebl and Mobi you need to create a Free account. Get any books you like and read everywhere you want. Fast Download Speed ~ Commercial & Ad Free. We cannot guarantee that every book is in the library!

Methods of Fundamental Solutions in Solid Mechanics

Methods of Fundamental Solutions in Solid Mechanics Book
Author : Hui Wang,Qing-Hua Qin
Publisher : Elsevier
Release : 2019-06-06
ISBN : 0128182849
Language : En, Es, Fr & De

GET BOOK

Book Description :

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

Engineering Solid Mechanics

Engineering Solid Mechanics Book
Author : SalahEldinAhm Bayoumi
Publisher : Routledge
Release : 2018-02-06
ISBN : 1351450913
Language : En, Es, Fr & De

GET BOOK

Book Description :

Engineering Solid Mechanics bridges the gap between elementary approaches to strength of materials and more advanced, specialized versions on the subject. The book provides a basic understanding of the fundamentals of elasticity and plasticity, applies these fundamentals to solve analytically a spectrum of engineering problems, and introduces advanced topics of mechanics of materials - including fracture mechanics, creep, superplasticity, fiber reinforced composites, powder compacts, and porous solids. Text includes: stress and strain, equilibrium, and compatibility elastic stress-strain relations the elastic problem and the stress function approach to solving plane elastic problems applications of the stress function solution in Cartesian and polar coordinates Problems of elastic rods, plates, and shells through formulating a strain compatibility function as well as applying energy methods Elastic and elastic-plastic fracture mechanics Plastic and creep deformation Inelastic deformation and its applications This book presents the material in an instructive manner, suitable for individual self-study. It emphasizes analytical treatment of the subject, which is essential for handling modern numerical methods as well as assessing and creating software packages. The authors provide generous explanations, systematic derivations, and detailed discussions, supplemented by a vast variety of problems and solved examples. Primarily written for professionals and students in mechanical engineering, Engineering Solid Mechanics also serves persons in other fields of engineering, such as aerospace, civil, and material engineering.

Meshless Methods in Solid Mechanics

Meshless Methods in Solid Mechanics Book
Author : Youping Chen,James Lee,Azim Eskandarian
Publisher : Springer Science & Business Media
Release : 2006-04-28
ISBN : 0387307362
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.

Boundary Element Advances in Solid Mechanics

Boundary Element Advances in Solid Mechanics Book
Author : Dimitri Beskos,Giulio Maier
Publisher : Springer
Release : 2014-05-04
ISBN : 3709127904
Language : En, Es, Fr & De

GET BOOK

Book Description :

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

Computational Methods in Solid Mechanics

Computational Methods in Solid Mechanics Book
Author : A. Curnier
Publisher : Springer Science & Business Media
Release : 1994-05-31
ISBN : 9780792327615
Language : En, Es, Fr & De

GET BOOK

Book Description :

This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Audience: Graduate students and researchers whose work involves the theory and application of computational solid mechanics.

Slope Analysis Using Boundary Elements

Slope Analysis Using Boundary Elements Book
Author : Yansheng Jiang
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 3642839185
Language : En, Es, Fr & De

GET BOOK

Book Description :

The aim of this book is to provide a new angle on the analysis of slope stability with the Boundary Element Method. The main advantages of BEM are the reduction of the dimensionality of the problem to be solved and accurate selective calculation of internal stresses. This makes it possible, as shown in the book, to develop the algorithms of slip surface analysis of slope more accurate, more rigorous and more easy to be used than in the conventional limit equilibrium methods. The full elastoplastic analysis of slope is also investigated. Besides, the interested reader can find a detailed study of Melan's fundamental solution such as its displacements, its corresponding Galerkin tensor and the treatment of body forces in the half-plan. The basic theory of BEM is outlined in the book so that undergraduate and graduate students of civil engineering, mining engineering and engineering geology can read it without difficulty.

Computational Fluid Structure Interaction

Computational Fluid Structure Interaction Book
Author : Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar
Publisher : John Wiley & Sons
Release : 2013-01-25
ISBN : 111848357X
Language : En, Es, Fr & De

GET BOOK

Book Description :

Computational Fluid-Structure Interaction: Methods andApplications takes the reader from the fundamentals ofcomputational fluid and solid mechanics to the state-of-the-art incomputational FSI methods, special FSI techniques, and solution ofreal-world problems. Leading experts in the field present thematerial using a unique approach that combines advanced methods,special techniques, and challenging applications. This book begins with the differential equations governing thefluid and solid mechanics, coupling conditions at thefluid–solid interface, and the basics of the finite elementmethod. It continues with the ALE and space–time FSI methods,spatial discretization and time integration strategies for thecoupled FSI equations, solution techniques for thefully-discretized coupled equations, and advanced FSI andspace–time methods. It ends with special FSI techniquestargeting cardiovascular FSI, parachute FSI, and wind-turbineaerodynamics and FSI. Key features: First book to address the state-of-the-art in computationalFSI Combines the fundamentals of computational fluid and solidmechanics, the state-of-the-art in FSI methods, and specialFSI techniques targeting challenging classes of real-worldproblems Covers modern computational mechanics techniques, includingstabilized, variational multiscale, and space–time methods,isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamentalconcepts and advanced methods and with insightful visualizationillustrating the complexities of the problems that can be solvedwith the FSI methods covered in the book. Authors are award winning, leading global experts incomputational FSI, who are known for solving some of the mostchallenging FSI problems Computational Fluid-Structure Interaction: Methods andApplications is a comprehensive reference for researchers andpracticing engineers who would like to advance their existingknowledge on these subjects. It is also an ideal text for graduateand senior-level undergraduate courses in computational fluidmechanics and computational FSI.

Boundary Elements and Other Mesh Reduction Methods XXXIII

Boundary Elements and Other Mesh Reduction Methods XXXIII Book
Author : C. A. Brebbia,Viktor Popov,V. Popov
Publisher : WIT Press
Release : 2011-01-01
ISBN : 1845645421
Language : En, Es, Fr & De

GET BOOK

Book Description :

The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..

Boundary Elements and Other Mesh Reduction Methods XXXIV

Boundary Elements and Other Mesh Reduction Methods XXXIV Book
Author : C.A. Brebbia,D. Poljak
Publisher : WIT Press
Release : 2012-06-25
ISBN : 1845646223
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book contains papers presented at the Thirty Fourth International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), recognised as the international forum for the latest advances of these methods and their applications in science and engineering. The success of the meeting, since the first conference took place in Southampton, UK, in 1978, is an indication of the strength of the research being carried out by many different groups around the world. This continuous growth is a result of the evolution of the techniques from methods based on classical integral equations to techniques now covering a wide variety of mathematical approaches, the main objective of which is to reduce or eliminate the mesh. The mesh, a concept inherited from more primitive methods, such as finite differences and finite elements, is alien to the solution of the problem and dictated only by the limitations of first generation analysis techniques. Topics covered include: Advanced meshless and mesh reduction methods, Electrical engineering and electromagnetics, Fluid flow, Heat and mass transfer, Advanced structural applications, Dynamics and vibrations, Damage mechanics and fracture, Material characterisation, Advanced formulations, Computational techniques, Stochastic modelling, Emerging applications.

Fundamental Solutions for Differential Operators and Applications

Fundamental Solutions for Differential Operators and Applications Book
Author : Prem Kythe
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461241065
Language : En, Es, Fr & De

GET BOOK

Book Description :

A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs Book
Author : Matthias Albert Augustin
Publisher : Birkhäuser
Release : 2015-07-15
ISBN : 3319170791
Language : En, Es, Fr & De

GET BOOK

Book Description :

This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to help make geothermics a reliable and safe energy production method. One of the challenges they face involves modeling the mechanical stresses at work in a reservoir. The aim of this thesis is to develop a numerical solution scheme by means of which the fluid pressure and rock stresses in a geothermal reservoir can be determined prior to well drilling and during production. For this purpose, the method should (i) include poroelastic effects, (ii) provide a means of including thermoelastic effects, (iii) be inexpensive in terms of memory and computational power, and (iv) be flexible with regard to the locations of data points. After introducing the basic equations and their relations to more familiar ones (the heat equation, Stokes equations, Cauchy-Navier equation), the “method of fundamental solutions” and its potential value concerning our task are discussed. Based on the properties of the fundamental solutions, theoretical results are established and numerical examples of stress field simulations are presented to assess the method’s performance. The first-ever 3D graphics calculated for these topics, which neither requiring meshing of the domain nor involving a time-stepping scheme, make this a pioneering volume.

Computational Fluid and Solid Mechanics 2003

Computational Fluid and Solid Mechanics 2003 Book
Author : K.J Bathe
Publisher : Elsevier
Release : 2003-06-02
ISBN : 9780080529479
Language : En, Es, Fr & De

GET BOOK

Book Description :

Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Recent Advances in Computational Mechanics

Recent Advances in Computational Mechanics Book
Author : Tomasz Lodygowski,Jerzy Rakowski,Przemyslaw Litewka
Publisher : CRC Press
Release : 2014-02-04
ISBN : 1315775484
Language : En, Es, Fr & De

GET BOOK

Book Description :

Recent Advances in Computational Mechanics contains selected papers presented at the jubilee 20th Conference on Computer Methods in Mechanics (CMM 2013), which took place from 27 to 31 August 2013 at the Poznan University of Technology. The first Polish Conference on Computer Methods in Mechanics was held in Poznan in 1973. This very successful me

The Finite Element Method

The Finite Element Method Book
Author : Zhangxin Chen
Publisher : World Scientific Publishing Company
Release : 2011-10-06
ISBN : 9813100656
Language : En, Es, Fr & De

GET BOOK

Book Description :

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.

Foundations of Solid Mechanics

Foundations of Solid Mechanics Book
Author : P. Karasudhi
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 9401138141
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book has been written with two purposes, as a textbook for engineering courses and as a reference book for engineers and scientists. The book is an outcome of several lecture courses. These include lectures given to graduate students at the Asian Institute of Technology for several years, a course on elasticity for University of Tokyo graduate students in the spring of 1979, and courses on elasticity, viscoelasticity and ftnite deformation at the National University of Singapore from May to November 1985. In preparing this book, I kept three objectives in mind: ftrst, to provide sound fundamental knowledge of solid mechanics in the simplest language possible; second, to introduce effective analytical and numerical solution methods; and third, to impress on readers that the subject is beautiful, and is accessible to those with only a standard mathematical background. In order to meet those objectives, the ftrst chapter of the book is a review of mathematical foundations intended for anyone whose background is an elementary knowledge of differential calculus, scalars and vectors, and Newton's laws of motion. Cartesian tensors are introduced carefully. From then on, only Cartesian tensors in the indicial notation, with subscript as indices, are used to derive and represent all theories.

Wave Propagation in Viscoelastic and Poroelastic Continua

Wave Propagation in Viscoelastic and Poroelastic Continua Book
Author : Martin Schanz
Publisher : Springer Science & Business Media
Release : 2012-11-27
ISBN : 3540445757
Language : En, Es, Fr & De

GET BOOK

Book Description :

Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Boundary Element Programming in Mechanics

Boundary Element Programming in Mechanics Book
Author : Xiao-Wei Gao,Trevor G. Davies
Publisher : Cambridge University Press
Release : 2002-03-11
ISBN : 9780521773591
Language : En, Es, Fr & De

GET BOOK

Book Description :

Nonlinear stress analysis (a branch of solid mechanics) is an essential feature in the design of such diverse structures as aircraft, bridges, machines, and dams. Computational techniques have become vital tools in dealing with the complex, time-consuming problems associated with nonlinear stress analysis. Although finite element techniques are widely used, boundary element methods (BEM) offer a powerful alternative, especially in tackling problems of three-dimensional plasticity. This book describes the application of BEM in solid mechanics, beginning with basic theory and then explaining the numerical implementation of BEM in nonlinear stress analysis. The book includes a state-of-the-art CD-ROM containing BEM source code for use by the reader. This book will be especially useful to stress analysts in industry, research workers in the field of computational plasticity, and postgraduate students taking courses in engineering mechanics.

Boundary Collocation Techniques and their Application in Engineering

Boundary Collocation Techniques and their Application in Engineering Book
Author : J.A. Kołodziej,A. P. Zielinski
Publisher : WIT Press
Release : 2009-10-01
ISBN : 1845643941
Language : En, Es, Fr & De

GET BOOK

Book Description :

Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.

Fundamentals of the Three Dimensional Theory of Stability of Deformable Bodies

Fundamentals of the Three Dimensional Theory of Stability of Deformable Bodies Book
Author : A.N. Guz
Publisher : Springer Science & Business Media
Release : 2013-06-05
ISBN : 3540696334
Language : En, Es, Fr & De

GET BOOK

Book Description :

At the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their application. This extensive development together with engineering applications are reflected in a flurry of papers appearing in periodicals as well as in a plenty of monographs, textbooks and reference books. In so doing, overwhelming majority of researchers, con cerned with the problems of practical interest, have dealt with the loss of stability in the thin-walled structural elements. Trying to simplify solution of the problems, they have used two- and one-dimensional theories based on various auxiliary hypotheses. This activity contributed a lot to the preferential development of the stability theory of thin-walled structures and organisation of this theory into a branch of solid mechanics with its own up-to-date methods and trends, but left three-dimensional linearised theory of deformable bodies stability (TL TDBS), methods of solving and solutions of the three-dimensional stability problems themselves almost without attention. It must be emphasised that by three dimensional theories and problems in this book are meant those theories and problems which do not draw two-dimensional plate and shell and one-dimensional rod theories.