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
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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
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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, ...

Methods of Fundamental Solutions in Solid Mechanics

Methods of Fundamental Solutions in Solid Mechanics
  • Author : 王辉,秦庆华
  • Publisher : Unknown
  • Release Date : 2021
  • Total pages : 293
  • ISBN : 0128182849
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Summary : Download or read online Methods of Fundamental Solutions in Solid Mechanics written by 王辉,秦庆华, published by which was released on 2021. Get Methods of Fundamental Solutions in Solid Mechanics Books now! Available in PDF, ePub and Kindle....

Radial Basis Function Methods For Large Scale Wave Propagation

Radial Basis Function Methods For Large Scale Wave Propagation
  • Author : Jun-Pu Li
  • Publisher : Bentham Science Publishers
  • Release Date : 2021-12-24
  • Total pages : 185
  • ISBN : 0128182849
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Summary : This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency ...

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
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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 ...

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
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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 ...

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
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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 ...

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
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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 ...

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
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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 ...

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
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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 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
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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 ...

Boundary Element Programming in Mechanics

Boundary Element Programming in Mechanics
  • Author : Xiao-Wei Gao,Trevor G. Davies
  • Publisher : Cambridge University Press
  • Release Date : 2002-03-11
  • Total pages : 254
  • ISBN : 0128182849
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Summary : 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, ...

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
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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....

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

Boundary Collocation Techniques and their Application in Engineering

Boundary Collocation Techniques and their Application in Engineering
  • Author : J.A. Kołodziej,A. P. Zielinski
  • Publisher : WIT Press
  • Release Date : 2009-10-01
  • Total pages : 336
  • ISBN : 0128182849
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Summary : 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....

Local and Nonlocal Micromechanics of Heterogeneous Materials

Local and Nonlocal Micromechanics of Heterogeneous Materials
  • Author : Valeriy A. Buryachenko
  • Publisher : Springer Nature
  • Release Date : 2021-11-16
  • Total pages : 999
  • ISBN : 0128182849
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Summary : This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics ...