Theory Of Elasticity Of An Anisotropic Body
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Theory Of Elasticity Of An Anisotropic Elastic Body
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Author : Sergeĭ Georgievich Lekhnit͡skiĭ
language : en
Publisher:
Release Date : 1963
Theory Of Elasticity Of An Anisotropic Elastic Body written by Sergeĭ Georgievich Lekhnit͡skiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Elastic solids categories.
Theory Of Elasticity Of An Anisotropic Body
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Author : Sergeĭ Georgievich Lekhnit͡skiĭ
language : en
Publisher:
Release Date : 1981
Theory Of Elasticity Of An Anisotropic Body written by Sergeĭ Georgievich Lekhnit͡skiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Theory Of Elasticity Of An Anisotropic Body
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Author : S. G. Lehnickij
language : en
Publisher:
Release Date : 1981
Theory Of Elasticity Of An Anisotropic Body written by S. G. Lehnickij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
The Theory Of Anisotropic Elastic Plates
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Author : T.S. Vashakmadze
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
The Theory Of Anisotropic Elastic Plates written by T.S. Vashakmadze 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 2013-11-27 with Science categories.
The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied.
Theory Of Anisotropic Shells
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Author : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n
language : en
Publisher:
Release Date : 1964
Theory Of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Elastic plates and shells categories.
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications
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Author : Tianyou Fan
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-25
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications written by Tianyou Fan 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 2011-05-25 with Science categories.
This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.
Advances In Applied Mechanics
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Author : Erik van der Giessen
language : en
Publisher: Academic Press
Release Date : 2001-09-28
Advances In Applied Mechanics written by Erik van der Giessen and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-28 with Science categories.
Mechanics is defined as a branch of physics that focuses on motion and the reaction of physical systems to internal and external forces. This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.
Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications
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Author : Tian-you Fan
language : en
Publisher: World Scientific
Release Date : 2023-12-27
Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Science categories.
This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.
Modern Theory Of Anisotropic Elasticity And Applications
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Author : Julian J. Wu
language : en
Publisher: SIAM
Release Date : 1991-01-01
Modern Theory Of Anisotropic Elasticity And Applications written by Julian J. Wu and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
A selection of 26 original papers, some of them substantially revised after the workshop, discuss anisotropic elasticity and its applications in solid mechanics and applied mathematics. Considering elastostatics, elastodynamics, and constitutive relations, they discuss such topics as Green's functio
Theory Of Elasticity
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Author : Aldo Maceri
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23
Theory Of Elasticity written by Aldo Maceri 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 2010-07-23 with Science categories.
This book provides the analytical tools for calculating stresses and deformations in a strained elastic body. It gives engineers, in a simple form, a clear indication of the necessary fundamental knowledge of the theory of elasticity.