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Author : Witold Nowacki
Publisher : Pergamon
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.36/5 ( download)
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:
Author : Janusz Dyszlewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3540452869
Total Pages : 371 pages
Book Rating : 4.67/5 ( download)
Download or read book Micropolar Theory of Elasticity written by Janusz Dyszlewicz and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph "Micropolar Theory of Elasticity" is devoted to the asymmetric theory of elasticity and thermoelasticity, aiming at researchers and postgraduate students in solid mechanics and applied mathematics, as well as mechanical engineers. It offers various new results including the basic field equations, general methods of integration of basic equations, formulations of problems, as well as solutions to particular problems. The presented general solutions cover those of Galerkin, Green-Lamé and Papkovitch-Neuber type, whereas the formulations include the displacement-rotation problems as well as pure stress problems of asymmetric elastodynamics. Solutions to stationary 3D and 2D problems for a half-space, and singular solutions to 3D and 2D asymmetric elastodynamics and the thermoelasto-dynamics problems for an infinite space are given.
Author : Witold Nowacki
Publisher : Pergamon
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.56/5 ( download)
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:
Author : B. V. Gorskii
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.05/5 ( download)
Download or read book Several Problems of the Theory of Asymmetric Elasticity written by B. V. Gorskii and published by . This book was released on 1968 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of problems in asymmetric elasticity are solved, such as torsion in round and semiround solid beams, in a beam of heterogeneous material, also flexure and torsion in an infinite plate. Torsion in a round beam is analyzed in a system of formulas for cylindrical coordinates, vectors of particle displacement, for distorsion tensors, components of force and stress moment tensors. Certain stress components and constants are found to be inconsistent with expressions in the classical theory of elasticity. Torsion in a hollow cylindrical beam is analyzed, also in solid and in hollow beams of heterogeneous material. The Cosser continuum equation in rectangular coordinates is applied in developing a formula for coincident distortion. Torsion in long thin plates fixed along one edge is analyzed, and rigidity constants determined experimentally.
Author : Adel S. Saada
Publisher : Elsevier
ISBN 13 : 1483159531
Total Pages : 663 pages
Book Rating : 4.39/5 ( download)
Download or read book Elasticity written by Adel S. Saada and published by Elsevier. This book was released on 2013-10-22 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is divided into three parts. The first part is concerned with the kinematics of continuous media; the second part focuses on the analysis of stress; and the third part considers the theory of elasticity and its applications to engineering problems. This book consists of 18 chapters; the first of which deals with the kinematics of continuous media. The basic definitions and the operations of matrix algebra are presented in the next chapter, followed by a discussion on the linear transformation of points. The study of finite and linear strains gradually introduces the reader to the tensor concept. Orthogonal curvilinear coordinates are examined in detail, along with the similarities between stress and strain. The chapters that follow cover torsion; the three-dimensional theory of linear elasticity and the requirements for the solution of elasticity problems; the method of potentials; and topics related to cylinders, disks, and spheres. This book also explores straight and curved beams; the semi-infinite elastic medium and some of its related problems; energy principles and variational methods; columns and beam-columns; and the bending of thin flat plates. The final chapter is devoted to the theory of thin shells, with emphasis on geometry and the relations between strain and displacement. This text is intended to give advanced undergraduate and graduate students sound foundations on which to build advanced courses such as mathematical elasticity, plasticity, plates and shells, and those branches of mechanics that require the analysis of strain and stress.
Author : A.I. Lurie
Publisher : Springer Science & Business Media
ISBN 13 : 3540264558
Total Pages : 1036 pages
Book Rating : 4.52/5 ( download)
Download or read book Theory of Elasticity written by A.I. Lurie and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : R. J. Atkin
Publisher : Courier Corporation
ISBN 13 : 0486442411
Total Pages : 272 pages
Book Rating : 4.19/5 ( download)
Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2005-11-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Author : Witold Nowacki
Publisher : Springer
ISBN 13 : 3709127203
Total Pages : 285 pages
Book Rating : 4.09/5 ( download)
Download or read book Theory of Micropolar Elasticity written by Witold Nowacki and published by Springer. This book was released on 2014-05-04 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard B. Hetnarski
Publisher : CRC Press
ISBN 13 : 143982889X
Total Pages : 837 pages
Book Rating : 4.92/5 ( download)
Download or read book The Mathematical Theory of Elasticity written by Richard B. Hetnarski and published by CRC Press. This book was released on 2016-04-19 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 9400726163
Total Pages : 805 pages
Book Rating : 4.61/5 ( download)
Download or read book Treatise on Classical Elasticity written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.
