A Treatise On The Mathematical Theory Of Elasticity Second Edition
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Author | : Richard B. Hetnarski |
Publisher | : CRC Press |
Total Pages | : 837 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 143982889X |
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 | : Augustus Edward Hough Love |
Publisher | : |
Total Pages | : 674 |
Release | : 1927 |
Genre | : Elasticity |
ISBN | : |
Author | : |
Publisher | : CUP Archive |
Total Pages | : 384 |
Release | : |
Genre | : |
ISBN | : |
Author | : Stuart Antman |
Publisher | : Springer Science & Business Media |
Total Pages | : 762 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475741472 |
The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Author | : N.I. Muskhelishvili |
Publisher | : Springer Science & Business Media |
Total Pages | : 746 |
Release | : 2013-11-11 |
Genre | : Technology & Engineering |
ISBN | : 9401730342 |
TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.
Author | : Arthur Godon Webster |
Publisher | : Courier Dover Publications |
Total Pages | : 465 |
Release | : 2016-06-20 |
Genre | : Mathematics |
ISBN | : 0486805158 |
A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.
Author | : Michael A. Pelissier |
Publisher | : SEG Books |
Total Pages | : 10 |
Release | : 2007 |
Genre | : Science |
ISBN | : 1560801425 |
This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.
Author | : Philippe G. Ciarlet |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : Elastic plates and shells |
ISBN | : 9781611976793 |
The Mathematical Elasticity set contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. An extended preface and extensive bibliography have been added to each volume to highlight the progress that has been made since the original publication. The first book, Three-Dimensional Elasticity, covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. In volume two, Theory of Plates, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The objective of Theory of Shells, the final volume, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
Author | : London Mathematical Society |
Publisher | : |
Total Pages | : 592 |
Release | : 1927 |
Genre | : Electronic journals |
ISBN | : |
"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.
Author | : Raymond L. Bisplinghoff |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2014-10-20 |
Genre | : Technology & Engineering |
ISBN | : 0486799409 |
Profusely illustrated exposition of fundamentals of solid mechanics and principles of mechanics, statics, and simple statically indeterminate systems. Covers strain and stress in three-dimensional solids, elementary elasticity, energy principles in solid continuum, and more. 1965 edition.