Solid Mechanics A Variational Approach PDF Download
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| Author | : Clive L. Dym |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 698 |
| Release | : 2013-04-05 |
| Genre | : Science |
| ISBN | : 1461460344 |
Download Solid Mechanics Book in PDF, ePub and Kindle
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.
| Author | : Clive L. Dym |
| Publisher | : McGraw-Hill Companies |
| Total Pages | : 594 |
| Release | : 1973 |
| Genre | : Mathematics |
| ISBN | : |
Download Solid Mechanics: a Variational Approach Book in PDF, ePub and Kindle
| Author | : Francesco dell'Isola |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 363 |
| Release | : 2012-01-15 |
| Genre | : Technology & Engineering |
| ISBN | : 3709109833 |
Download Variational Models and Methods in Solid and Fluid Mechanics Book in PDF, ePub and Kindle
F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.
| Author | : S. Nemat-Nasser |
| Publisher | : Elsevier |
| Total Pages | : 429 |
| Release | : 2017-01-31 |
| Genre | : Technology & Engineering |
| ISBN | : 1483145832 |
Download Variational Methods in the Mechanics of Solids Book in PDF, ePub and Kindle
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
| Author | : Marco L. Bittencourt |
| Publisher | : CRC Press |
| Total Pages | : 670 |
| Release | : 2014-09-19 |
| Genre | : Science |
| ISBN | : 1482246538 |
Download Computational Solid Mechanics Book in PDF, ePub and Kindle
Presents a Systematic Approach for Modeling Mechanical Models Using Variational Formulation-Uses Real-World Examples and Applications of Mechanical ModelsUtilizing material developed in a classroom setting and tested over a 12-year period, Computational Solid Mechanics: Variational Formulation and High-Order Approximation details an approach that e
| Author | : Alexander S. Kravchuk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 337 |
| Release | : 2007-09-04 |
| Genre | : Technology & Engineering |
| ISBN | : 1402063776 |
Download Variational and Quasi-Variational Inequalities in Mechanics Book in PDF, ePub and Kindle
The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.
| Author | : Edgardo O. Taroco |
| Publisher | : John Wiley & Sons |
| Total Pages | : 606 |
| Release | : 2020-02-25 |
| Genre | : Mathematics |
| ISBN | : 1119600901 |
Download Introduction to the Variational Formulation in Mechanics Book in PDF, ePub and Kindle
Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models. Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic Materials; Materials Exhibiting Creep; Materials Exhibiting Plasticity; Bending of Beams; Torsion of Bars; Plates and Shells; Heat Transfer; Incompressible Fluid Flow; Multiscale Modeling; and more. A self-contained reader-friendly approach to the variational formulation in the mechanics Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.
| Author | : Victor Berdichevsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 590 |
| Release | : 2009-09-18 |
| Genre | : Science |
| ISBN | : 354088467X |
Download Variational Principles of Continuum Mechanics Book in PDF, ePub and Kindle
Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.
| Author | : Gerhard A. Holzapfel |
| Publisher | : |
| Total Pages | : 482 |
| Release | : 2000-04-06 |
| Genre | : Mathematics |
| ISBN | : |
Download Nonlinear Solid Mechanics Book in PDF, ePub and Kindle
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.
| Author | : Clive L. Dym |
| Publisher | : |
| Total Pages | : |
| Release | : 1972 |
| Genre | : Calculus of variations |
| ISBN | : 9780070185579 |
Download Solutions Manual to Accompany Solid Mechanics Book in PDF, ePub and Kindle
