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Methods of Fundamental Solutions in Solid Mechanics

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

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, 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 : 06 June 2019
GET THIS BOOKMethods of Fundamental Solutions in Solid Mechanics

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

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Engineering Solid Mechanics

Engineering Solid Mechanics
  • Author : SalahEldinAhm Bayoumi
  • Publisher : Routledge
  • Release : 06 February 2018
GET THIS BOOKEngineering Solid Mechanics

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

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Meshless Methods in Solid Mechanics

Meshless Methods in Solid Mechanics
  • Author : Youping Chen,James Lee,Azim Eskandarian
  • Publisher : Springer Science & Business Media
  • Release : 28 April 2006
GET THIS BOOKMeshless Methods in Solid Mechanics

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

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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 : 07 September 2021
GET THIS BOOKTrefftz and Fundamental Solution-Based Finite Element Methods

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 based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal

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Boundary Element Advances in Solid Mechanics

Boundary Element Advances in Solid Mechanics
  • Author : Dimitri Beskos,Giulio Maier
  • Publisher : Springer
  • Release : 04 May 2014
GET THIS BOOKBoundary Element Advances in Solid Mechanics

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.

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Computational Methods in Solid Mechanics

Computational Methods in Solid Mechanics
  • Author : A. Curnier
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKComputational Methods in Solid Mechanics

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. Chapter 1 addresses the problem

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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 : 15 July 2015
GET THIS BOOKA Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

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

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Applied Mechanics of Solids

Applied Mechanics of Solids
  • Author : Allan F. Bower
  • Publisher : Anonim
  • Release : 01 February 2018
GET THIS BOOKApplied Mechanics of Solids

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 Predictions Applied Mechanics of Solids is a powerful tool for understanding how to take advantage of these revolutionary computer advances in the field of solid mechanics. Beginning with a description of the physical and mathematical

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Computational Fluid-Structure Interaction

Computational Fluid-Structure Interaction
  • Author : Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar
  • Publisher : John Wiley & Sons
  • Release : 25 January 2013
GET THIS BOOKComputational Fluid-Structure Interaction

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

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Experimental Mechanics of Solids

Experimental Mechanics of Solids
  • Author : Cesar A. Sciammarella,Federico M. Sciammarella
  • Publisher : John Wiley & Sons
  • Release : 26 March 2012
GET THIS BOOKExperimental Mechanics of Solids

Experimental solid mechanics is the study of materials to determine their physical properties. This study might include performing a stress analysis or measuring the extent of displacement, shape, strain and stress which a material suffers under controlled conditions. In the last few years there have been remarkable developments in experimental techniques that measure shape, displacement and strains and these sorts of experiments are increasingly conducted using computational techniques. Experimental Mechanics of Solids is a comprehensive introduction to the topics, technologies

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Localization and Solitary Waves in Solid Mechanics

Localization and Solitary Waves in Solid Mechanics
  • Author : A R Champneys,G W Hunt,J M T Thompson
  • Publisher : World Scientific
  • Release : 30 November 1999
GET THIS BOOKLocalization and Solitary Waves in Solid Mechanics

This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the

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Meshless Methods in Solid Mechanics

Meshless Methods in Solid Mechanics
  • Author : Youping Chen,James Lee,Azim Eskandarian
  • Publisher : Springer
  • Release : 01 November 2008
GET THIS BOOKMeshless Methods in Solid Mechanics

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

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Foundations of Solid Mechanics

Foundations of Solid Mechanics
  • Author : P. Karasudhi
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKFoundations of Solid Mechanics

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.

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