Author: P.F. Kelly
Publisher: CRC Press
ISBN: 1482206579
Category : Science
Languages : en
Pages : 445
Book Description
The first volume in a three-part series, Elements of Mechanics provides a rigorous calculus-based introduction to classical physics. It considers diverse phenomena in a systematic manner and emphasises the development of consistent and coherent models guided by symmetry considerations and the application of general principles. Modern developments c
Elements of Mechanics
Author: P.F. Kelly
Publisher: CRC Press
ISBN: 1482206579
Category : Science
Languages : en
Pages : 445
Book Description
The first volume in a three-part series, Elements of Mechanics provides a rigorous calculus-based introduction to classical physics. It considers diverse phenomena in a systematic manner and emphasises the development of consistent and coherent models guided by symmetry considerations and the application of general principles. Modern developments c
Publisher: CRC Press
ISBN: 1482206579
Category : Science
Languages : en
Pages : 445
Book Description
The first volume in a three-part series, Elements of Mechanics provides a rigorous calculus-based introduction to classical physics. It considers diverse phenomena in a systematic manner and emphasises the development of consistent and coherent models guided by symmetry considerations and the application of general principles. Modern developments c
The Elements of Mechanics
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
ISBN: 3662007312
Category : Science
Languages : en
Pages : 586
Book Description
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Publisher: Springer Science & Business Media
ISBN: 3662007312
Category : Science
Languages : en
Pages : 586
Book Description
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Elements of Continuum Mechanics and Conservation Laws
Author: S.K. Godunov
Publisher: Springer Science & Business Media
ISBN: 9780306477355
Category : Computers
Languages : en
Pages : 270
Book Description
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Publisher: Springer Science & Business Media
ISBN: 9780306477355
Category : Computers
Languages : en
Pages : 270
Book Description
Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.
Mechanics of Structural Elements
Author: Vladimir Slivker
Publisher: Springer Science & Business Media
ISBN: 3540447210
Category : Technology & Engineering
Languages : en
Pages : 787
Book Description
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.
Publisher: Springer Science & Business Media
ISBN: 3540447210
Category : Technology & Engineering
Languages : en
Pages : 787
Book Description
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.
Elements of Newtonian Mechanics
Author: Jens M. Knudsen
Publisher: Springer Science & Business Media
ISBN: 3642976735
Category : Science
Languages : en
Pages : 442
Book Description
In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic. The book still contains a one-semester (15 weeks) first university course on Newtonian mechanics. This necessarily introduces some constraints on the choice of topics and the level of mathematical sophistication expected from the reader. If one looks for discussions of technical issues, such as the physics behind various manifestations of friction, or the tensorial nature of the rotation vector, one will look in vain. The book contains what we feel are the essential aspects of Newtonian Mechanics. It is a pleasure again to thank Springer-Verlag and in particular Dr. H. J. KOisch and the staff at the Heidelberg office for helpfulness and professional collaboration.
Publisher: Springer Science & Business Media
ISBN: 3642976735
Category : Science
Languages : en
Pages : 442
Book Description
In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic. The book still contains a one-semester (15 weeks) first university course on Newtonian mechanics. This necessarily introduces some constraints on the choice of topics and the level of mathematical sophistication expected from the reader. If one looks for discussions of technical issues, such as the physics behind various manifestations of friction, or the tensorial nature of the rotation vector, one will look in vain. The book contains what we feel are the essential aspects of Newtonian Mechanics. It is a pleasure again to thank Springer-Verlag and in particular Dr. H. J. KOisch and the staff at the Heidelberg office for helpfulness and professional collaboration.
Finite Elements Methods in Mechanics
Author: M. Reza Eslami
Publisher: Springer
ISBN: 9783319080369
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.
Publisher: Springer
ISBN: 9783319080369
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.
Finite Elements in Fracture Mechanics
Author: Meinhard Kuna
Publisher: Springer Science & Business Media
ISBN: 9400766807
Category : Science
Languages : en
Pages : 464
Book Description
Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.
Publisher: Springer Science & Business Media
ISBN: 9400766807
Category : Science
Languages : en
Pages : 464
Book Description
Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.
Elements of Continuum Mechanics and Thermodynamics
Author: Joanne L. Wegner
Publisher: Cambridge University Press
ISBN: 1139478389
Category : Science
Languages : en
Pages : 279
Book Description
This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.
Publisher: Cambridge University Press
ISBN: 1139478389
Category : Science
Languages : en
Pages : 279
Book Description
This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.
Practical Guide to Finite Elements
Author: Steven Lepi
Publisher: CRC Press
ISBN: 1000145905
Category : Technology & Engineering
Languages : en
Pages : 545
Book Description
Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases. Furnishes a wealth of practical insights drawn from the extensive experience of a specialist in the field! Generously illustrated with over 200 detailed drawings to clarify discussions and containing key literature citations for more in-depth study of particular topics, this clearly written resource is an exceptional guide for mechanical, civil, aeronautic, automotive, electrical and electronics, and design engineers; engineering managers; and upper-level undergraduate, graduate, and continuing-education students in these disciplines.
Publisher: CRC Press
ISBN: 1000145905
Category : Technology & Engineering
Languages : en
Pages : 545
Book Description
Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases. Furnishes a wealth of practical insights drawn from the extensive experience of a specialist in the field! Generously illustrated with over 200 detailed drawings to clarify discussions and containing key literature citations for more in-depth study of particular topics, this clearly written resource is an exceptional guide for mechanical, civil, aeronautic, automotive, electrical and electronics, and design engineers; engineering managers; and upper-level undergraduate, graduate, and continuing-education students in these disciplines.
Smith's Elements of Soil Mechanics
Author: Ian Smith
Publisher: John Wiley & Sons
ISBN: 0470673397
Category : Technology & Engineering
Languages : en
Pages : 496
Book Description
The 9th edition maintains the content on all soil mechanics subject areas - groundwater flow, soil physical properties, stresses, shear strength, consolidation and settlement, slope stability, retaining walls, shallow and deep foundations, highways, site investigation - but has been expanded to include a detailed explanation of how to use Eurocode 7 for geotechnical design. The key change in this new edition is the expansion of the content covering Geotechnical Design to Eurocode 7. Redundant material relating to the now defunct British Standards - no longer referred to in degree teaching - has been removed. Building on the success of the earlier editions, this 9th edition of Smith’s Elements of Soil Mechanics brings additional material on geotechnical design to Eurocode 7 in an understandable format. Many worked examples are included to illustrate the processes for performing design to this European standard. Significant updates throughout the book have been made to reflect other developments in procedures and practices in the construction and site investigation industries. More worked examples and many new figures have been provided throughout. The illustrations have been improved and the new design and layout of the pages give a lift. unique content to illustrate the use of Eurocode 7 with essential guidance on how to use the now fully published code clear content and well-organised structure takes complicated theories and processes and presents them in easy-to-understand formats book's website offers examples and downloads to further understanding of the use of Eurocode 7 www.wiley.com/go/smith/soil
Publisher: John Wiley & Sons
ISBN: 0470673397
Category : Technology & Engineering
Languages : en
Pages : 496
Book Description
The 9th edition maintains the content on all soil mechanics subject areas - groundwater flow, soil physical properties, stresses, shear strength, consolidation and settlement, slope stability, retaining walls, shallow and deep foundations, highways, site investigation - but has been expanded to include a detailed explanation of how to use Eurocode 7 for geotechnical design. The key change in this new edition is the expansion of the content covering Geotechnical Design to Eurocode 7. Redundant material relating to the now defunct British Standards - no longer referred to in degree teaching - has been removed. Building on the success of the earlier editions, this 9th edition of Smith’s Elements of Soil Mechanics brings additional material on geotechnical design to Eurocode 7 in an understandable format. Many worked examples are included to illustrate the processes for performing design to this European standard. Significant updates throughout the book have been made to reflect other developments in procedures and practices in the construction and site investigation industries. More worked examples and many new figures have been provided throughout. The illustrations have been improved and the new design and layout of the pages give a lift. unique content to illustrate the use of Eurocode 7 with essential guidance on how to use the now fully published code clear content and well-organised structure takes complicated theories and processes and presents them in easy-to-understand formats book's website offers examples and downloads to further understanding of the use of Eurocode 7 www.wiley.com/go/smith/soil