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On The Completeness Of Certain Stress Functions In The Linear Theory Of Elasticity
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Book Synopsis On the Completeness of Certain Stress Functions in the Linear Theory of Elasticity by : Eli Sternberg
Download or read book On the Completeness of Certain Stress Functions in the Linear Theory of Elasticity written by Eli Sternberg and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The comple ne of certain solutions in terms of stress functions to t e displac ment equation of motion nd equilibrium in classical ela ticity theory is treat d. PECIFICALLY, DEAL WIT THE STRESS FUNCTIONS OF Lame and of Somigliana in elastodynamics, as well as with ose of Galerkin and Papkovich in the equilibrium theory. The four of stress function cited are apt to be the mos sig ificant from t vi poi t of applicatio s and the present method for establishing their completen ss appears to be specially economical. (Author).
Author :William S. Slaughter Publisher :Springer Science & Business Media ISBN 13 :9780817641177 Total Pages :588 pages Book Rating :4.6/5 (411 download)
Book Synopsis The Linearized Theory of Elasticity by : William S. Slaughter
Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2002 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.
Book Synopsis Linear Theories of Elasticity and Thermoelasticity by : Clifford Truesdell
Download or read book Linear Theories of Elasticity and Thermoelasticity written by Clifford Truesdell and published by Springer. This book was released on 2013-12-17 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1961 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 1586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Complete Stress Function Solution in the Dynamic Linear Theory of Incompressible Elastic Bodies by : George Myles Cordell Fisher
Download or read book A Complete Stress Function Solution in the Dynamic Linear Theory of Incompressible Elastic Bodies written by George Myles Cordell Fisher and published by . This book was released on 1965 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a method of C. Somigliana (Atti Reale Accademia Lincei, Roma, Ser. 5, 1, 2, 111, 1892), a complete stress-function solution and an associated displacement decomposition are given for the linearized theory of dynamic incompressible elasticity. (Author).
Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : Augustus Edward Hough Love
Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1927 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniqueness Theorems in Linear Elasticity by : Robin J. Knops
Download or read book Uniqueness Theorems in Linear Elasticity written by Robin J. Knops and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
Book Synopsis Technical Abstract Bulletin by : Defense Documentation Center (U.S.)
Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1961-10 with total page 1540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Asymmetric Elasticity by : Witold Nowacki
Download or read book Theory of Asymmetric Elasticity written by Witold Nowacki and published by Pergamon. This book was released on 1986 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Elasticity by : Horst H. E. Leipholz
Download or read book Theory of Elasticity written by Horst H. E. Leipholz and published by Springer. This book was released on 1974-03-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an indispensable prerequisite when dealing with the theory of elasticity in a modern way, the first part of the book consists in an introduction into this subject. In the second part, the physical foundations of the theory of elasticity are given, including nonlinearities. The excursion into the field of geometric and physical nonlinearities is done in order to prepare the reader for further advances into the most recent developments of the theory. The book itself, in the remainder, is restricted to linear problems only. The third part of the book deals with the mathematical theory of linear elasticity in full extent. Curvilinear problems, two- and three-dimensional problems are included. Stress has been put on working out a systematic approach to the solutions of all kinds of stress states, not neglecting triaxial problems. Also, energy methods have been dealt with, taking into account the generalization and extension of these methods by Rüdiger and Reiss ner. The fourth and last part of the book consists in an application of the general methods, as outlined in part 3, to special structures like plates and shells, thus giving hopefully something of interest to the practising engineer.
Book Synopsis The Theory of Linear Viscoelasticity by : D. R. Bland
Download or read book The Theory of Linear Viscoelasticity written by D. R. Bland and published by Courier Dover Publications. This book was released on 2016-10-05 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed sections present examples of stress-related problems, including sinusoidal oscillation problems, quasi-static problems, and dynamic problems. 1960 edition.
Download or read book Proceedings written by and published by . This book was released on 1965 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise on the Mathematical Theory of Elasticity by :
Download or read book A Treatise on the Mathematical Theory of Elasticity written by and published by CUP Archive. This book was released on with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings by : United States. National Congress of Applied Mechanics
Download or read book Proceedings written by United States. National Congress of Applied Mechanics and published by . This book was released on 1962 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Boundary Element Research by : Carlos A. Brebbia
Download or read book Topics in Boundary Element Research written by Carlos A. Brebbia and published by Springer. This book was released on 2013-12-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series has been developed in response to the interest shown in boundary ele ments by scientists and engineers. Whilst Volume I was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im portant topic it is time to produce a work ofa morepermanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the etfectiveness ofthe technique for engineering. Chapter 2 examines some ofthe various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for mulation is compared with the displacement-potential case. The special character istics ofthe elastodynamics fundamental solutions are discussed in detail and a criti cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problern and the suggestions for further work make an important contribu tion to the development ofthe method.
