Methods Of Fundamental Solutions In Solid Mechanics

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Methods of Fundamental Solutions in Solid Mechanics

Hui Wang,Qing-Hua Qin
Methods of Fundamental Solutions in Solid Mechanics Book PDF

Author : Hui Wang,Qing-Hua Qin
Publisher : Elsevier
Page : 312 pages
File Size : 42,8 Mb
Release : 2019-06-06
Category : Technology & Engineering
ISBN : 9780128182840

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Methods of Fundamental Solutions in Solid Mechanics by Hui Wang,Qing-Hua Qin Pdf

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

Trefftz and Fundamental Solution-Based Finite Element Methods

Qing-Hua Qin
Trefftz and Fundamental Solution Based Finite Element Methods Book PDF

Author : Qing-Hua Qin
Publisher : Bentham Science Publishers
Page : 357 pages
File Size : 42,5 Mb
Release : 2021-09-07
Category : Mathematics
ISBN : 9789814998550

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Trefftz and Fundamental Solution-Based Finite Element Methods by Qing-Hua Qin Pdf

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 hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.

Advanced Mechanics of Materials and Applied Elasticity

Ansel C. Ugural,Saul K. Fenster
Advanced Mechanics of Materials and Applied Elasticity Book PDF

Author : Ansel C. Ugural,Saul K. Fenster
Publisher : Prentice Hall
Page : 1241 pages
File Size : 48,5 Mb
Release : 2019-07-29
Category : Technology & Engineering
ISBN : 9780134859361

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Advanced Mechanics of Materials and Applied Elasticity by Ansel C. Ugural,Saul K. Fenster Pdf

The Leading Practical Guide to Stress Analysis—Updated with State-of-the-Art Methods, Applications, and Problems This widely acclaimed exploration of real-world stress analysis reflects advanced methods and applications used in today’s mechanical, civil, marine, aeronautical engineering, and engineering mechanics/science environments. Practical and systematic, Advanced Mechanics of Materials and Applied Elasticity, Sixth Edition, has been updated with many new examples, figures, problems, MATLAB solutions, tables, and charts. The revised edition balances discussions of advanced solid mechanics, elasticity theory, classical analysis, and computer-oriented approaches that facilitate solutions when problems resist conventional analysis. It illustrates applications with case studies, worked examples, and problems drawn from modern applications, preparing readers for both advanced study and practice. Readers will find updated coverage of analysis and design principles, fatigue criteria, fracture mechanics, compound cylinders, rotating disks, 3-D Mohr’s circles, energy and variational methods, buckling of various columns, common shell types, inelastic materials behavior, and more. The text addresses the use of new materials in bridges, buildings, automobiles, submarines, ships, aircraft, and spacecraft. It offers significantly expanded coverage of stress concentration factors and contact stress developments. This book aims to help the reader Review fundamentals of statics, solids mechanics, stress, and modes of load transmission Master analysis and design principles through hands-on practice to illustrate their connections Understand plane stress, stress transformations, deformations, and strains Analyze a body’s load-carrying capacity based on strength, stiffness, and stability Learn and apply the theory of elasticity Explore failure criteria and material behavior under diverse conditions, and predict component deformation or buckling Solve problems related to beam bending, torsion of noncircular bars, and axisymmetrically loaded components, plates, or shells Use the numerical finite element method to economically solve complex problems Characterize the plastic behavior of materials Register your product for convenient access to downloads, updates, and/or corrections as they become available. See inside book for details.

Fundamentals of Surface Mechanics

Frederick F. Ling,W. Michael Lai,Don A. Lucca
Fundamentals of Surface Mechanics Book PDF

Author : Frederick F. Ling,W. Michael Lai,Don A. Lucca
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 47,7 Mb
Release : 2002-07-31
Category : Technology & Engineering
ISBN : 0387954236

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Fundamentals of Surface Mechanics by Frederick F. Ling,W. Michael Lai,Don A. Lucca Pdf

Provides a rigorous derivation of surface properties such as temperature and deformation using continuum mechanics; Discussion is animated by the authors' decades of experience in experimental mechanics; Includes many techniologically motivated problems, solutions and computer solutions

Fundamental Solutions in Elastodynamics

Eduardo Kausel
Fundamental Solutions in Elastodynamics Book PDF

Author : Eduardo Kausel
Publisher : Cambridge University Press
Page : 253 pages
File Size : 52,6 Mb
Release : 2006-02-13
Category : Technology & Engineering
ISBN : 9781139448680

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Fundamental Solutions in Elastodynamics by Eduardo Kausel Pdf

This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.

Fundamentals of Continuum Mechanics

John W. Rudnicki
Fundamentals of Continuum Mechanics Book PDF

Author : John W. Rudnicki
Publisher : John Wiley & Sons
Page : 229 pages
File Size : 49,8 Mb
Release : 2014-11-10
Category : Science
ISBN : 9781118479919

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Fundamentals of Continuum Mechanics by John W. Rudnicki Pdf

A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering

Numerical Methods in Mechanics of Materials

Ken P. Chong,Arthur P. Boresi,Sunil Saigal,James D. Lee
Numerical Methods in Mechanics of Materials Book PDF

Author : Ken P. Chong,Arthur P. Boresi,Sunil Saigal,James D. Lee
Publisher : CRC Press
Page : 318 pages
File Size : 43,8 Mb
Release : 2017-11-27
Category : Technology & Engineering
ISBN : 9781351380997

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Numerical Methods in Mechanics of Materials by Ken P. Chong,Arthur P. Boresi,Sunil Saigal,James D. Lee Pdf

In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods

Introduction to Nonlinear Thermomechanics of Solids

Michał Kleiber,Piotr Kowalczyk
Introduction to Nonlinear Thermomechanics of Solids Book PDF

Author : Michał Kleiber,Piotr Kowalczyk
Publisher : Springer
Page : 345 pages
File Size : 47,5 Mb
Release : 2016-06-24
Category : Science
ISBN : 9783319334554

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Introduction to Nonlinear Thermomechanics of Solids by Michał Kleiber,Piotr Kowalczyk Pdf

The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

Smart Technologies in Urban Engineering

Olga Arsenyeva,Tetyana Romanova,Maria Sukhonos,Ihor Biletskyi,Yevgen Tsegelnyk
Smart Technologies in Urban Engineering Book PDF

Author : Olga Arsenyeva,Tetyana Romanova,Maria Sukhonos,Ihor Biletskyi,Yevgen Tsegelnyk
Publisher : Springer Nature
Page : 496 pages
File Size : 47,9 Mb
Release : 2023-12-08
Category : Technology & Engineering
ISBN : 9783031468742

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Smart Technologies in Urban Engineering by Olga Arsenyeva,Tetyana Romanova,Maria Sukhonos,Ihor Biletskyi,Yevgen Tsegelnyk Pdf

This book offers a comprehensive review of smart technologies and provides perspectives on their applications in urban engineering. It covers a wide range of applications, from manufacturing engineering and transport logistics to information and computation technologies, providing readers with fresh ideas for future research and collaborations. The book showcases selected papers from the International Conference on Smart Technologies in Urban Engineering (STUE-2023), hosted by O.M. Beketov National University of Urban Economy in Kharkiv, Ukraine. The conference, held on June 8–10, 2023, aimed to address the complex rehabilitation of areas damaged by military conflicts and natural disasters. The contributions within this book offer a wealth of valuable information, fostering a meaningful exchange of experiences among scientists in the field of urban engineering. By delving into this book, readers explore innovative approaches to tackle urban challenges, gain insights from experts, and contribute to the advancement of smart technologies for the betterment of cities worldwide.

Computational Methods in Solid Mechanics

A. Curnier
Computational Methods in Solid Mechanics Book PDF

Author : A. Curnier
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 44,6 Mb
Release : 1994-05-31
Category : Mathematics
ISBN : 0792327616

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Computational Methods in Solid Mechanics by A. Curnier Pdf

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.

Radial Basis Function Methods For Large-Scale Wave Propagation

Jun-Pu Li
Radial Basis Function Methods For Large Scale Wave Propagation Book PDF

Author : Jun-Pu Li
Publisher : Bentham Science Publishers
Page : 183 pages
File Size : 48,9 Mb
Release : 2021-12-24
Category : Science
ISBN : 9781681088990

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Radial Basis Function Methods For Large-Scale Wave Propagation by Jun-Pu Li Pdf

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 wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions. Key features: - Introduces basic concepts of radial basis function methods - Provides detailed derivations of several radial basis functions - Explains complex problems using simple language - Contains a wide range of numerical examples to demonstrate applications of relevant functions - Combines the radial basis function with other known numerical methods (boundary element methods and differential equations). - Includes references and appropriate chapter appendices - Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations The book is designed to make information about radial basis function methods more accessible to research scientists, professional engineers and postgraduate students, with a specific focus on large-scale wave propagation problems.

The Finite Element Method for Mechanics of Solids with ANSYS Applications

Ellis H. Dill
The Finite Element Method for Mechanics of Solids with ANSYS Applications Book PDF

Author : Ellis H. Dill
Publisher : CRC Press
Page : 500 pages
File Size : 54,7 Mb
Release : 2011-08-25
Category : Science
ISBN : 9781439845844

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The Finite Element Method for Mechanics of Solids with ANSYS Applications by Ellis H. Dill Pdf

While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer's software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite El

Computational Fluid and Solid Mechanics 2003

K.J Bathe
Computational Fluid and Solid Mechanics 2003 Book PDF

Author : K.J Bathe
Publisher : Elsevier
Page : 2524 pages
File Size : 43,8 Mb
Release : 2003-06-02
Category : Science
ISBN : 008052947X

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Computational Fluid and Solid Mechanics 2003 by K.J Bathe Pdf

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

Applied Mechanics of Solids

Allan F. Bower
Applied Mechanics of Solids Book PDF

Author : Allan F. Bower
Publisher : CRC Press
Page : 820 pages
File Size : 48,7 Mb
Release : 2009-10-05
Category : Science
ISBN : 9781439802489

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Applied Mechanics of Solids by Allan F. Bower Pdf

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

Meshless Methods in Solid Mechanics

Youping Chen,James Lee,Azim Eskandarian
Meshless Methods in Solid Mechanics Book PDF

Author : Youping Chen,James Lee,Azim Eskandarian
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 43,6 Mb
Release : 2006-12-31
Category : Science
ISBN : 9780387333687

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Meshless Methods in Solid Mechanics by Youping Chen,James Lee,Azim Eskandarian Pdf

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.