Variational Principles Of Theory Of Elasticity With Applications PDF Download
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Author | : Haichang Hu |
Publisher | : CRC Press |
Total Pages | : 514 |
Release | : 1984 |
Genre | : Calculus of variations |
ISBN | : 9780677313306 |
Download Variational Principles of Theory of Elasticity with Applications Book in PDF, ePub and Kindle
Author | : Victor Berdichevsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 433 |
Release | : 2009-09-18 |
Genre | : Science |
ISBN | : 3540884696 |
Download Variational Principles of Continuum Mechanics Book in PDF, ePub and Kindle
The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given. This book, the second volume, describes how the variational approach can be applied to constructing models of continuum media, such as the theory of elastic plates; shells and beams; shallow water theory; heterogeneous mixtures; granular materials; and turbulence. It goes on to apply the variational approach to asymptotical analysis of problems with small parameters, such as the derivation of the theory of elastic plates, shells and beams from three-dimensional elasticity theory; and the basics of homogenization theory. A theory of stochastic variational problems is considered in detail too, along with applications to the homogenization of continua with random microstructures.
Author | : Victor Berdichevsky |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2009-11-09 |
Genre | : Technology & Engineering |
ISBN | : 9783540884651 |
Download Variational Principles of Continuum Mechanics Book in PDF, ePub and Kindle
I Fundamentals.- Variational Principles.- Thermodynamics.- Continuum Mechanics.- Principle of least action in continuum mechanics.- Direct methods of calculus of variations.- II Variational features of classical continuum models.- Statics of a geometrically linear elastic body.- Statics of a geometrically nonlinear elastic body.- Dynamics of elastic bodies.- Ideal incompressible fluid.- Ideal compressible fluid.- Steady motion of ideal fluid and elastic body.- Principle of least dissipation.- Motion of rigid bodies in fluids.
Author | : Kyūichirō Washizu |
Publisher | : Pergamon |
Total Pages | : 430 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
Download Variational Methods in Elasticity and Plasticity Book in PDF, ePub and Kindle
Author | : Wolfgang Yourgrau |
Publisher | : Courier Corporation |
Total Pages | : 222 |
Release | : 1979-01-01 |
Genre | : Science |
ISBN | : 9780486637730 |
Download Variational Principles in Dynamics and Quantum Theory Book in PDF, ePub and Kindle
Historical, theoretical survey with many insights, much hard-to-find material. Covers Hamilton's principle, Hamilton-Jacobi equation, relationship to quantum theory and wave mechanics, and more.
Author | : Richard B. Hetnarski |
Publisher | : CRC Press |
Total Pages | : 837 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 143982889X |
Download The Mathematical Theory of Elasticity Book in PDF, ePub and Kindle
Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates add
Author | : Stanislaw Sieniutycz |
Publisher | : Elsevier |
Total Pages | : 810 |
Release | : 2010-07-07 |
Genre | : Technology & Engineering |
ISBN | : 0080456146 |
Download Variational and Extremum Principles in Macroscopic Systems Book in PDF, ePub and Kindle
Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin’s maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. A unique multidisciplinary synthesis of variational and extremum principles in theory and application A comprehensive review of current and past achievements in variational formulations for macroscopic processes Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy
Author | : Heinz Parkus |
Publisher | : Springer |
Total Pages | : 56 |
Release | : 1972 |
Genre | : Science |
ISBN | : |
Download Variational Principles in Thermo- and Magneto-elasticity Book in PDF, ePub and Kindle
Author | : V. Komkov |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 1987-12-31 |
Genre | : Mathematics |
ISBN | : 9789027726391 |
Download Variational Principles of Continuum Mechanics with Engineering Applications Book in PDF, ePub and Kindle
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
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