Theory of Asymmetric Elasticity PDF Download

Author: Witold Nowacki
Publisher: Pergamon
ISBN:
Category : Science
Languages : en
Pages : 402

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Author: Janusz Dyszlewicz
Publisher: Springer Science & Business Media
ISBN: 3540452869
Category : Technology & Engineering
Languages : en
Pages : 371

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Book Description
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: B. V. Gorskii
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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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: A.I. Lurie
Publisher: Springer Science & Business Media
ISBN: 3540264558
Category : Technology & Engineering
Languages : en
Pages : 1036

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Book Description
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: Adel S. Saada
Publisher: Elsevier
ISBN: 1483159531
Category : Technology & Engineering
Languages : en
Pages : 663

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Book Description
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: Witold Nowacki
Publisher: Springer
ISBN: 3709127203
Category : Technology & Engineering
Languages : en
Pages : 285

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Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486442411
Category : Science
Languages : en
Pages : 272

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Book Description
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: Richard B. Hetnarski
Publisher: CRC Press
ISBN: 143982889X
Category : Mathematics
Languages : en
Pages : 837

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Book Description
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: Eduard Starovoitov
Publisher: CRC Press
ISBN: 1466558792
Category : Science
Languages : en
Pages : 356

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Book Description
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research a

Author: N.I. Muskhelishvili
Publisher: Springer Science & Business Media
ISBN: 9401730342
Category : Technology & Engineering
Languages : en
Pages : 746

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Book Description
TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.