Saint Venants Problem
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Author | : Dorin Iesan |
Publisher | : Springer |
Total Pages | : 171 |
Release | : 2006-11-15 |
Genre | : Science |
ISBN | : 3540479112 |
This monograph is concerned with the equilibrium of linearly elastic cylinders. It gives an up-to-date and systematic treatment of extension, bending, torsion and flexure of cylinders, including the deformation of homogeneous and nonhomogeneous anisotropic elastic cylinders by loads distributed on their lateral surfaces. Minimum energy characterizations of the solutions are discussed. An analysis of Saint-Venant's principle, in the context for which it was originally intended, is also presented. Many of the results included have not appeared or been previously discussed in the literature, and illustrative applications are presented throughout.
Author | : Oscar Castro-Orgaz |
Publisher | : Springer |
Total Pages | : 699 |
Release | : 2017-03-27 |
Genre | : Science |
ISBN | : 3319479717 |
This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their applications in a broad range of pertinent engineering and environmental problems, including open channel, groundwater, and granular material flows.
Author | : Clifford Truesdell |
Publisher | : |
Total Pages | : 456 |
Release | : 1965 |
Genre | : Continuity |
ISBN | : |
Author | : Augustus Edward Hough Love |
Publisher | : |
Total Pages | : 674 |
Release | : 1927 |
Genre | : Elasticity |
ISBN | : |
Author | : Jacques Heyman |
Publisher | : Cambridge University Press |
Total Pages | : 124 |
Release | : 1982-04 |
Genre | : Science |
ISBN | : 9780521245234 |
This book analyses problems in elasticity theory, highlighting elements of structural analysis in a simple and straightforward way.
Author | : Martin H. Sadd |
Publisher | : Elsevier |
Total Pages | : 474 |
Release | : 2010-08-04 |
Genre | : Technology & Engineering |
ISBN | : 008047747X |
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Author | : Thomas Y. Hou |
Publisher | : Springer Science & Business Media |
Total Pages | : 986 |
Release | : 2003-09-19 |
Genre | : Mathematics |
ISBN | : 9783540443339 |
The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.
Author | : |
Publisher | : |
Total Pages | : 688 |
Release | : 1967 |
Genre | : Mechanics, Applied |
ISBN | : |
Author | : Jacques Heyman |
Publisher | : Cambridge University Press |
Total Pages | : 188 |
Release | : 1998-05-07 |
Genre | : Technology & Engineering |
ISBN | : 0521622492 |
This volume provides a concise, historical review of the methods of structural analysis and design - from Galileo in the seventeenth century, to the present day. Through it, students in structural engineering and professional engineers will gain a deeper understanding of the theory behind the modern software packages they use daily in structural design. This book also offers the reader a lucid examination of the process of structural analysis and how it relates to modern design. The first three chapters cover questions about the strength of materials, and how to calculate local effects. An account is then given of the development of the equations of elastic flexure and buckling, followed by a separate chapter on masonry arches. Three chapters on the overall behaviour of elastic structures lead to a discussion of plastic behaviour, and a final chapter indicates that there are still problems needing solution.
Author | : A.I. Lurie |
Publisher | : Springer Science & Business Media |
Total Pages | : 1036 |
Release | : 2010-05-30 |
Genre | : Technology & Engineering |
ISBN | : 3540264558 |
The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.