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Methods of Fundamental Solutions in Solid Mechanics

Methods of Fundamental Solutions in Solid Mechanics
  • Author : Hui Wang,Qing-Hua Qin
  • Publisher :Unknown
  • Release Date :2019-06-06
  • Total pages :312
  • ISBN : 9780128182840
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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, 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
  • Author : Abdel-Rahman A. Ragab,Salah Eldin Ahm Bayoumi
  • Publisher :Unknown
  • Release Date :2018-02-06
  • Total pages :944
  • ISBN : 9781351450928
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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 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
  • Author : Youping Chen,James Lee,Azim Eskandarian
  • Publisher :Unknown
  • Release Date :2006-04-28
  • Total pages :200
  • ISBN : 9780387307367
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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 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.

Intermediate Solid Mechanics

Intermediate Solid Mechanics
  • Author : Marko V. Lubarda,Vlado A. Lubarda
  • Publisher :Unknown
  • Release Date :2020-01-31
  • Total pages :352
  • ISBN : 9781108499606
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Summary : A concise yet comprehensive treatment of the fundamentals of solid mechanics, including solved examples, exercises, and homework problems.

Foundations of Solid Mechanics

Foundations of Solid Mechanics
  • Author : P. Karasudhi
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :439
  • ISBN : 0792307720
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Summary : 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.

Applied Mechanics of Solids

Applied Mechanics of Solids
  • Author : Allan F. Bower
  • Publisher :Unknown
  • Release Date :2009-10-05
  • Total pages :820
  • ISBN : 9781439802489
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Summary : 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

Engineering Mechanics in Civil Engineering

Engineering Mechanics in Civil Engineering
  • Author : American Society of Civil Engineers. Engineering Mechanics Division. Specialty Conference
  • Publisher :Unknown
  • Release Date :1984
  • Total pages :1547
  • ISBN : STANFORD:36105000590690
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Summary :

Fundamental Solutions in Elastodynamics

Fundamental Solutions in Elastodynamics
  • Author : E. Kausel
  • Publisher :Unknown
  • Release Date :2006-02-13
  • Total pages :251
  • ISBN : 0521855705
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Summary : This work contains fundamental solutions for classical, canonical, elastodynamics problems using common format and notation.

Principles of Solid Mechanics

Principles of Solid Mechanics
  • Author : Rowland Richards, Jr.
  • Publisher :Unknown
  • Release Date :2000-12-12
  • Total pages :456
  • ISBN : 9781420042207
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Summary : Evolving from more than 30 years of research and teaching experience, Principles of Solid Mechanics offers an in-depth treatment of the application of the full-range theory of deformable solids for analysis and design. Unlike other texts, it is not either a civil or mechanical engineering text, but both. It treats not only analysis but incorporates design along with experimental observation. Principles of Solid Mechanics serves as a core course textbook for advanced seniors and first-year graduate students. The author focuses on basic concepts and applications, simple yet unsolved problems, inverse strategies for optimum design, unanswered questions, and unresolved paradoxes to intrigue students and encourage further study. He includes plastic as well as elastic behavior in terms of a unified field theory and discusses the properties of field equations and requirements on boundary conditions crucial for understanding the limits of numerical modeling. Designed to help guide students with little experimental experience and no exposure to drawing and graphic analysis, the text presents carefully selected worked examples. The author makes liberal use of footnotes and includes over 150 figures and 200 problems. This, along with his approach, allows students to see the full range, non-linear response of structures.

Fundamentals of Structural Mechanics

Fundamentals of Structural Mechanics
  • Author : Keith D. Hjelmstad
  • Publisher :Unknown
  • Release Date :2007-03-14
  • Total pages :480
  • ISBN : 9780387233314
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Summary : A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.

Experimental Mechanics of Solids

Experimental Mechanics of Solids
  • Author : Cesar A. Sciammarella,Federico M. Sciammarella
  • Publisher :Unknown
  • Release Date :2012-03-26
  • Total pages :480
  • ISBN : 9781119970095
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Summary : 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 and methods of experimental mechanics of solids. It begins by establishing the fundamentals of continuum mechanics, explaining key areas such as the equations used, stresses and strains, and two and three dimensional problems. Having laid down the foundations of the topic, the book then moves on to look at specific techniques and technologies with emphasis on the most recent developments such as optics and image processing. Most of the current computational methods, as well as practical ones, are included to ensure that the book provides information essential to the reader in practical or research applications. Key features: Presents widely used and accepted methodologies that are based on research and development work of the lead author Systematically works through the topics and theories of experimental mechanics including detailed treatments of the Moire, Speckle and holographic optical methods Includes illustrations and diagrams to illuminate the topic clearly for the reader Provides a comprehensive introduction to the topic, and also acts as a quick reference guide This comprehensive book forms an invaluable resource for graduate students and is also a point of reference for researchers and practitioners in structural and materials engineering.

Cardiovascular Solid Mechanics

Cardiovascular Solid Mechanics
  • Author : Jay D. Humphrey
  • Publisher :Unknown
  • Release Date :2002-01-08
  • Total pages :757
  • ISBN : 0387951687
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Summary : This text presents a general introduction to soft tissue biomechanics. One of its primary goals is to introduce basic analytical, experimental and computational methods. In doing so, it enables readers to gain a relatively complete understanding of the biomechanics of the heart and vasculature.

Applied Mechanics Reviews

Applied Mechanics Reviews
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1995
  • Total pages :229
  • ISBN : UCSD:31822020354148
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Summary :

The Finite Element Method for Mechanics of Solids with ANSYS Applications

The Finite Element Method for Mechanics of Solids with ANSYS Applications
  • Author : Ellis H. Dill
  • Publisher :Unknown
  • Release Date :2011-08-25
  • Total pages :508
  • ISBN : 9781439845844
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Summary : 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 Element Method for Mechanics of Solids with ANSYS Applications explains the foundations of FEM in detail, enabling engineers to use it properly to analyze stress and interpret the output of a finite element computer program such as ANSYS. Illustrating presented theory with a wealth of practical examples, this book covers topics including: Essential background on solid mechanics (including small- and large-deformation elasticity, plasticity, and viscoelasticity) and mathematics Advanced finite element theory and associated fundamentals, with examples Use of ANSYS to derive solutions for problems that deal with vibration, wave propagation, fracture mechanics, plates and shells, and contact Totally self-contained, this text presents step-by-step instructions on how to use ANSYS Parametric Design Language (APDL) and the ANSYS Workbench to solve problems involving static/dynamic structural analysis (both linear and non-linear) and heat transfer, among other areas. It will quickly become a welcome addition to any engineering library, equally useful to students and experienced engineers alike.

Classical and Computational Solid Mechanics

Classical and Computational Solid Mechanics
  • Author : Y C Fung,Pin Tong,Xiaohong Chen
  • Publisher :Unknown
  • Release Date :2017-05-25
  • Total pages :860
  • ISBN : 9789814713672
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Summary : The second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics. This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. Request Inspection Copy

Boundary Element Methods in Mechanics

Boundary Element Methods in Mechanics
  • Author : D. E. Beskos
  • Publisher :Unknown
  • Release Date :1987
  • Total pages :598
  • ISBN : STANFORD:36105030633023
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Summary : Boundary Element Methods (BEM) have been successfully used in a variety of areas in engineering science, such as potential theory, elastostatics, elastodynamics, elastoplasticity, fracture, fluid mechanics, heat conduction, acoustics, electromagnetism and soil- or fluid-structure interaction. The most important topics in BEM are described here by well-known researchers in the field. It is a handbook characterized by a combination of tutorial and state-of-the-art aspects. Chapter 1 is an introduction to the fundamentals of the BEM, its history, advantages and disadvantages and future developments. In the second chapter, the potential theory is used to illustrate the mathematical and numerical aspects of the method. Further illustration is provided in the third chapter which deals with two- and three-dimensional elastostatics. Chapters 4 and 5 treat two- and three-dimensional elastodynamics (including viscoelasticity) from a general and a specific point of view, respectively. Nonlinear solid mechanics (including material and geometric nonlinearities) is taken up in the sixth chapter, while two- and three-dimensional fracture analysis is treated in the seventh chapter. Chapter 8 is devoted to fluid mechanics, and in particular to potential, viscous and ground water flow and water-waves, while Chapter 9 concerns itself with acoustics. Chapter 10 discusses heat conduction and mathematically related phenomena of transient thermoelasticity and soil-consolidation. The last two chapters deal with two important interaction phenomena: dynamic soil-structure interaction and fluid-structure interaction.

Mechanics of Solids

Mechanics of Solids
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1986
  • Total pages :229
  • ISBN : UCSD:31822017875360
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Summary :

Boundary Element Methods

Boundary Element Methods
  • Author : S. Kobayashi,N. Nishimura
  • Publisher :Unknown
  • Release Date :2013-11-11
  • Total pages :412
  • ISBN : 9783662061534
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Summary : The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Mechanics of Solids

Mechanics of Solids
  • Author : Carl T. F. Ross
  • Publisher :Unknown
  • Release Date :1999-10-03
  • Total pages :480
  • ISBN : 9780857099716
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Summary : This text is the primary recommendation of the UK Engineering Council Faculty of Technology to all British universities as of approved standard and quality for use as a text for the Board's own examinations. It introduces the fundamental concepts and principles of statics and stress analysis as the essential reading for first year engineering students. Worked examples from the authors experience reinforce comprehension of key concepts. Tutorial solutions with explanation in extended detail have been provided for students. Key elements include: use of free-body diagrams to help problem solving; coverage of composite materials; torsion of circular and non-circular sections; and the matrix-displacement method. Introduces the fundamental concepts and principles of statistics and stress analysis and applies these concepts and principles to a large number of practical problems The primary recommendation of the UK Engineering Council Faculty of Technology to all British universities

Solid Mechanics for Engineers

Solid Mechanics for Engineers
  • Author : Liangchi Zhang
  • Publisher :Unknown
  • Release Date :2001
  • Total pages :333
  • ISBN : 0333920988
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Summary : This text introduces the basics of solid mechanics to engineers from a practical point of view. The aim is to impart understanding from both a physical and a mathematical point of view physical mechanisms of material properties, the theory of solid mechanics, solution methodology and direct engineering applications are therefore presented as an organic whole.

Treatise on Classical Elasticity

Treatise on Classical Elasticity
  • Author : Petre P. Teodorescu
  • Publisher :Unknown
  • Release Date :2014-07-08
  • Total pages :802
  • ISBN : 9789400726161
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Summary : Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.