Ebook: Solid Mechanics: A Variational Approach, Augmented Edition
- Genre: Physics // Mechanics: Mechanics of deformable bodies
- Tags: Continuum Mechanics and Mechanics of Materials, Structural Mechanics, Mechanics, Mechanical Engineering
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
In summary, this book:
Emphasizes and articulates the variational calculus approach to both formulating and solving mechanics problems
Briefly introduces finite element method in the context of variational approaches to modeling and solving mechanics and structures problems
Accessible to engineering students while maintaining mathematical correctness
Presents extensive worked-out examples in the text and homework problems
Includes instructors’ solutions manual and over 200 illustrations
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
In summary, this book:
Emphasizes and articulates the variational calculus approach to both formulating and solving mechanics problems
Briefly introduces finite element method in the context of variational approaches to modeling and solving mechanics and structures problems
Accessible to engineering students while maintaining mathematical correctness
Presents extensive worked-out examples in the text and homework problems
Includes instructors’ solutions manual and over 200 illustrations
Content:
Front Matter....Pages i-xvii
Theory of Linear Elasticity....Pages 1-69
Introduction to the Calculus of Variations....Pages 71-116
Variational Principles of Elasticity....Pages 117-186
Beams, Frames and Rings....Pages 187-256
Torsion....Pages 257-298
Classical Theory of Plates....Pages 299-372
Dynamics of Beams and Plates....Pages 373-447
Nonlinear Elasticity....Pages 449-492
Elastic Stability....Pages 493-557
Finite Element Analysis: Preliminaries and Overview....Pages 559-589
Finite Element Applications: Trusses and Beams....Pages 591-633
Back Matter....Pages 635-685
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
In summary, this book:
Emphasizes and articulates the variational calculus approach to both formulating and solving mechanics problems
Briefly introduces finite element method in the context of variational approaches to modeling and solving mechanics and structures problems
Accessible to engineering students while maintaining mathematical correctness
Presents extensive worked-out examples in the text and homework problems
Includes instructors’ solutions manual and over 200 illustrations
Content:
Front Matter....Pages i-xvii
Theory of Linear Elasticity....Pages 1-69
Introduction to the Calculus of Variations....Pages 71-116
Variational Principles of Elasticity....Pages 117-186
Beams, Frames and Rings....Pages 187-256
Torsion....Pages 257-298
Classical Theory of Plates....Pages 299-372
Dynamics of Beams and Plates....Pages 373-447
Nonlinear Elasticity....Pages 449-492
Elastic Stability....Pages 493-557
Finite Element Analysis: Preliminaries and Overview....Pages 559-589
Finite Element Applications: Trusses and Beams....Pages 591-633
Back Matter....Pages 635-685
....