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Mathematical Theory Of Elastic Structures


Mathematical Theory Of Elastic Structures
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Mathematical Theory Of Elastic Structures


Mathematical Theory Of Elastic Structures
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Author : Kang Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Mathematical Theory Of Elastic Structures written by Kang Feng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.


Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.



Mathematical Theory Of Elastic Structures


Mathematical Theory Of Elastic Structures
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Author : Kang Feng
language : en
Publisher:
Release Date : 1996

Mathematical Theory Of Elastic Structures written by Kang Feng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Elastic analysis (Engineering) categories.




Theory Of Stability Of Continuous Elastic Structures


Theory Of Stability Of Continuous Elastic Structures
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Author : Mario Como
language : en
Publisher: Routledge
Release Date : 2022-01-27

Theory Of Stability Of Continuous Elastic Structures written by Mario Como and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.


Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.



The Mathematical Theory Of Elasticity


The Mathematical Theory Of Elasticity
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Author : Richard B. Hetnarski
language : en
Publisher: CRC Press
Release Date : 2016-04-19

The Mathematical Theory Of Elasticity written by Richard B. Hetnarski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.


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



Mathematical Theory Of Uniform Elastic Structures


Mathematical Theory Of Uniform Elastic Structures
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Author : Marek Elżanowski
language : en
Publisher:
Release Date : 1995

Mathematical Theory Of Uniform Elastic Structures written by Marek Elżanowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Elasticity categories.




Mathematical Theory Of Uniform Elastic Structures


Mathematical Theory Of Uniform Elastic Structures
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Author : Marek Elżanowski (matematyk)
language : en
Publisher:
Release Date : 1995

Mathematical Theory Of Uniform Elastic Structures written by Marek Elżanowski (matematyk) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Mathematical Models For Elastic Structures


Mathematical Models For Elastic Structures
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Author : Piero Villaggio
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28

Mathematical Models For Elastic Structures written by Piero Villaggio and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-28 with Technology & Engineering categories.


Elastic structures, conceived as slender bodies able to transmit loads, have been studied by scientists and engineers for centuries. By the seventeenth century several useful theories of elastic structures had emerged, with applications to civil and mechanical engineering problems. In recent years improved mathematical tools have extended applications into new areas such as geomechanics and biomechanics. This book, first published in 1998, offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures, which are used to solve practical problems with particular emphasis on nonlinear problems. This collection of interesting and important problems in elastic structures will appeal to a broad range of scientists, engineers and graduate students working in the area of structural mechanics.



A Treatise On The Mathematical Theory Of Elasticity


A Treatise On The Mathematical Theory Of Elasticity
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Author : Augustus Edward Hough Love
language : en
Publisher:
Release Date : 1893

A Treatise On The Mathematical Theory Of Elasticity written by Augustus Edward Hough Love and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Elasticity categories.


An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.



Mathematical Theory Of Uniform Elastic Structures


Mathematical Theory Of Uniform Elastic Structures
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Author : Marek Elżanowski
language : en
Publisher:
Release Date : 1995

Mathematical Theory Of Uniform Elastic Structures written by Marek Elżanowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Elasticity categories.




An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates


An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates
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Author : Raymond David Mindlin
language : en
Publisher: World Scientific
Release Date : 2006

An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates written by Raymond David Mindlin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Technology & Engineering categories.


This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.