Theory of Deformable Bodies

Theory of Deformable Bodies PDF Author: Eugène Maurice Pierre Cosserat
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 466

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Theory of Deformable Bodies

Theory of Deformable Bodies PDF Author: Eugène Maurice Pierre Cosserat
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 466

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Book Description


Mechanics of Deformable Bodies

Mechanics of Deformable Bodies PDF Author: Arnold Sommerfeld
Publisher: Academic Press
ISBN: 1483220273
Category : Science
Languages : en
Pages : 409

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Book Description
Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The text also describes the flow with given boundaries. Supplementary notes on selected hydrodynamic problems and supplements to the theory of elasticity are provided. Physicists, mathematicians, and students taking related courses will find the book useful.

Theorie Des Corps Deformables

Theorie Des Corps Deformables PDF Author: E. Cosserat
Publisher:
ISBN:
Category :
Languages : en
Pages : 220

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Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies

Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies PDF Author: A.N. Guz
Publisher: Springer Science & Business Media
ISBN: 3540696334
Category : Science
Languages : en
Pages : 560

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Book Description
At the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their application. This extensive development together with engineering applications are reflected in a flurry of papers appearing in periodicals as well as in a plenty of monographs, textbooks and reference books. In so doing, overwhelming majority of researchers, con cerned with the problems of practical interest, have dealt with the loss of stability in the thin-walled structural elements. Trying to simplify solution of the problems, they have used two- and one-dimensional theories based on various auxiliary hypotheses. This activity contributed a lot to the preferential development of the stability theory of thin-walled structures and organisation of this theory into a branch of solid mechanics with its own up-to-date methods and trends, but left three-dimensional linearised theory of deformable bodies stability (TL TDBS), methods of solving and solutions of the three-dimensional stability problems themselves almost without attention. It must be emphasised that by three dimensional theories and problems in this book are meant those theories and problems which do not draw two-dimensional plate and shell and one-dimensional rod theories.

Mechanics of Deformable Bodies

Mechanics of Deformable Bodies PDF Author: Arnold Sommerfeld
Publisher: Elsevier
ISBN: 1483214281
Category : Science
Languages : en
Pages : 409

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Book Description
Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.

Mechanics of Deformable Bodies

Mechanics of Deformable Bodies PDF Author: Arnold Sommerfeld
Publisher:
ISBN:
Category : Deformaciones (Mecanica)
Languages : en
Pages : 420

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Book Description


Nonlinear Deformable-body Dynamics

Nonlinear Deformable-body Dynamics PDF Author: Albert C. J. Luo
Publisher: Springer Science & Business Media
ISBN: 3642121365
Category : Science
Languages : en
Pages : 395

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Book Description
"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids.

Gauge Mechanics of Deformable Bodies

Gauge Mechanics of Deformable Bodies PDF Author: A. Shapere
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

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Introduction to the Mechanics of Deformable Solids

Introduction to the Mechanics of Deformable Solids PDF Author: David H. Allen
Publisher: Springer Science & Business Media
ISBN: 1461440033
Category : Science
Languages : en
Pages : 232

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Book Description
Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages.

Mechanics of Solid Deformable Body

Mechanics of Solid Deformable Body PDF Author: Michael Zhuravkov
Publisher: Springer Nature
ISBN: 9811984107
Category : Science
Languages : en
Pages : 317

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Book Description
This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.