Methods of Fundamental Solutions in Solid Mechanics

Written By Hui Wang
Methods of Fundamental Solutions in Solid Mechanics
  • Publsiher : Elsevier
  • Release : 06 June 2019
  • ISBN : 0128182849
  • Pages : 312 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKMethods of Fundamental Solutions in Solid Mechanics


Read or download book entitled Methods of Fundamental Solutions in Solid Mechanics written by Hui Wang which was release on 06 June 2019, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

Methods of Fundamental Solutions in Solid Mechanics

Methods of Fundamental Solutions in Solid Mechanics
  • Author : Hui Wang,Qing-Hua Qin
  • Publisher : Elsevier
  • Release Date : 2019-06-06
  • Total pages : 312
  • ISBN : 0128182849
GET BOOK

Summary : 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, ...

Engineering Solid Mechanics

Engineering Solid Mechanics
  • Author : Abdel-Rahman A. Ragab,Salah Eldin Ahm Bayoumi
  • Publisher : CRC Press
  • Release Date : 1998-12-22
  • Total pages : 944
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Trefftz and Fundamental Solution Based Finite Element Methods

Trefftz and Fundamental Solution Based Finite Element Methods
  • Author : Qing-Hua Qin
  • Publisher : Bentham Science Publishers
  • Release Date : 2021-09-07
  • Total pages : 355
  • ISBN : 0128182849
GET BOOK

Summary : This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution ...

Computational Methods in Solid Mechanics

Computational Methods in Solid Mechanics
  • Author : A. Curnier
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 404
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Meshless Methods in Solid Mechanics

Meshless Methods in Solid Mechanics
  • Author : Youping Chen,James Lee,Azim Eskandarian
  • Publisher : Springer
  • Release Date : 2010-02-12
  • Total pages : 200
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Boundary Elements and Other Mesh Reduction Methods XXXIII

Boundary Elements and Other Mesh Reduction Methods XXXIII
  • Author : C. A. Brebbia,Viktor Popov,V. Popov
  • Publisher : WIT Press
  • Release Date : 2011-01-01
  • Total pages : 345
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Wave Propagation in Viscoelastic and Poroelastic Continua

Wave Propagation in Viscoelastic and Poroelastic Continua
  • Author : Martin Schanz
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-11-27
  • Total pages : 170
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Computational Structural Mechanics Fluid Dynamics

Computational Structural Mechanics   Fluid Dynamics
  • Author : A.K. Noor,D.L. Dwoyer
  • Publisher : Elsevier
  • Release Date : 2013-10-22
  • Total pages : 467
  • ISBN : 0128182849
GET BOOK

Summary : Computational structural mechanics (CSM) and computational fluid dynamics (CFD) have emerged in the last two decades as new disciplines combining structural mechanics and fluid dynamics with approximation theory, numerical analysis and computer science. Their use has transformed much of theoretical mechanics and abstract science into practical and essential tools for ...

IUTAM Symposium on Anisotropy Inhomogeneity and Nonlinearity in Solid Mechanics

IUTAM Symposium on Anisotropy  Inhomogeneity and Nonlinearity in Solid Mechanics
  • Author : David F. Parker,Arthur H. England
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Total pages : 520
  • ISBN : 0128182849
GET BOOK

Summary : Proceedings of the IUTAM-ISIMM Symposium, held in Nottingham, U.K., 30 August--3 September 1994...

Slope Analysis Using Boundary Elements

Slope Analysis Using Boundary Elements
  • Author : Yansheng Jiang
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Total pages : 176
  • ISBN : 0128182849
GET BOOK

Summary : 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, ...

Boundary Elements and Other Mesh Reduction Methods XXXIV

Boundary Elements and Other Mesh Reduction Methods XXXIV
  • Author : C.A. Brebbia,D. Poljak
  • Publisher : WIT Press
  • Release Date : 2012-06-25
  • Total pages : 364
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Fundamental Solutions for Differential Operators and Applications

Fundamental Solutions for Differential Operators and Applications
  • Author : Prem Kythe
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 414
  • ISBN : 0128182849
GET BOOK

Summary : 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
  • Author : Matthias Albert Augustin
  • Publisher : Birkhäuser
  • Release Date : 2015-07-15
  • Total pages : 235
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Computational Fluid and Solid Mechanics 2003

Computational Fluid and Solid Mechanics 2003
  • Author : K.J Bathe
  • Publisher : Elsevier
  • Release Date : 2003-06-02
  • Total pages : 2524
  • ISBN : 0128182849
GET BOOK

Summary : 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 ...

Dynamic Fracture of Piezoelectric Materials

Dynamic Fracture of Piezoelectric Materials
  • Author : Petia Dineva,Dietmar Gross,Ralf Müller,Tsviatko Rangelov
  • Publisher : Springer Science & Business Media
  • Release Date : 2014-01-30
  • Total pages : 249
  • ISBN : 0128182849
GET BOOK

Summary : Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to ...