Methods of Fundamental Solutions in Solid Mechanics PDF Download

Author: Hui Wang
Publisher: Elsevier
ISBN: 0128182849
Category : Technology & Engineering
Languages : en
Pages : 312

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Book Description
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

Author: Abdel-Rahman A. Ragab
Publisher: CRC Press
ISBN: 9780849316074
Category : Science
Languages : en
Pages : 948

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Book Description
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.

Author: Qing-Hua Qin
Publisher: Bentham Science Publishers
ISBN: 9814998559
Category : Mathematics
Languages : en
Pages : 357

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Book Description
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.

Author: Lester W. Schmerr
Publisher: Cambridge University Press
ISBN: 110884331X
Category : Science
Languages : en
Pages : 581

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Book Description
Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.

Author: Ansel C. Ugural
Publisher: Prentice Hall
ISBN: 0134859367
Category : Technology & Engineering
Languages : en
Pages : 1241

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Book Description
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.

Author: John W. Rudnicki
Publisher: John Wiley & Sons
ISBN: 1118479912
Category : Science
Languages : en
Pages : 229

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Book Description
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

Author: Eduardo Kausel
Publisher: Cambridge University Press
ISBN: 1139448684
Category : Technology & Engineering
Languages : en
Pages : 253

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Book Description
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.

Author: Cesar A. Sciammarella
Publisher: John Wiley & Sons
ISBN: 0470689536
Category : Science
Languages : en
Pages : 769

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Book Description
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.

Author: Frederick F. Ling
Publisher: Springer Science & Business Media
ISBN: 9780387954233
Category : Technology & Engineering
Languages : en
Pages : 422

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Book Description
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

Author: Olga Arsenyeva
Publisher: Springer Nature
ISBN: 3031468740
Category : Technology & Engineering
Languages : en
Pages : 496

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Book Description
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.