Theory of Asymmetric Elasticity

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Author :
Publisher : Pergamon
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Theory of Asymmetric Elasticity by : Witold Nowacki

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:

Micropolar Theory of Elasticity

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540452869
Total Pages : 371 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Micropolar Theory of Elasticity by : Janusz Dyszlewicz

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.

Theory of Asymmetric Elasticity

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Author :
Publisher : Pergamon
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory of Asymmetric Elasticity by : Witold Nowacki

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:

Elasticity

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Author :
Publisher : Elsevier
ISBN 13 : 1483159531
Total Pages : 663 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Elasticity by : Adel S. Saada

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.

Shell Structures: Theory and Applications Volume 4

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Publisher : CRC Press
ISBN 13 : 135168048X
Total Pages : 574 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

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Publisher : Springer Science & Business Media
ISBN 13 : 3540684301
Total Pages : 207 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies by : Leonid M. Zubov

Download or read book Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies written by Leonid M. Zubov and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

An Introduction to the Theory of Elasticity

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486442411
Total Pages : 272 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin

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.

Theory of Micropolar Elasticity

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Publisher : Springer
ISBN 13 : 3709127203
Total Pages : 285 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Theory of Micropolar Elasticity by : Witold Nowacki

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:

Theory of Micropolar Elasticity

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Publisher :
ISBN 13 : 9783709127216
Total Pages : 292 pages
Book Rating : 4.1/5 (272 download)

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Book Synopsis Theory of Micropolar Elasticity by : Witold Nowacki

Download or read book Theory of Micropolar Elasticity written by Witold Nowacki and published by . This book was released on 2014-09-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Technical Translation

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Publisher :
ISBN 13 :
Total Pages : 1482 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Translation by :

Download or read book NASA Technical Translation written by and published by . This book was released on 1970 with total page 1482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Linearized Theory of Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200938
Total Pages : 557 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Linearized Theory of Elasticity by : William S. Slaughter

Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.

Micropolar Theory of Shells and Plates

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Publisher : Springer Nature
ISBN 13 : 3030713261
Total Pages : 172 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Micropolar Theory of Shells and Plates by : Sergey A. Ambartsumian (posthumous)

Download or read book Micropolar Theory of Shells and Plates written by Sergey A. Ambartsumian (posthumous) and published by Springer Nature. This book was released on 2021-07-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions. These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on Cosserat's pseudo-continuum. It explores the theory’s application to a category of nanomaterial shells and plates previously neglected from classical theories due to their unconventional size and structure. Theoretical results are accompanied by solutions of certain problems, essential for various applications. The book consists of six chapters. The first chapter is a review of the essential data on the non-symmetric theory of elasticity. The second and third chapters are devoted to various theories of plate bending and solutions to some basic problems. Chapter four refers to membrane or, so-called, momentary shell theory. Chapter five deals with the theory of very shallow shells. Finally, chapter six presents the geometry of the nonlinear theory of plates and the theory of very shallow shells. The book is intended for researchers, postgraduate students, and engineers, interested in the design of structures from nanomaterials and in the problems of mechanics of deformable bodies, theories of shells and plates, and their applications in micromechanics.

Nonlinear Elastic Waves in Materials

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Publisher : Springer Science & Business
ISBN 13 : 3319004646
Total Pages : 440 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Nonlinear Elastic Waves in Materials by : Jeremiah J. Rushchitsky

Download or read book Nonlinear Elastic Waves in Materials written by Jeremiah J. Rushchitsky and published by Springer Science & Business. This book was released on 2014-04-23 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.

Micropolar Elasticity

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Publisher : Springer
ISBN 13 : 3709129206
Total Pages : 170 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Micropolar Elasticity by : W. Nowacki

Download or read book Micropolar Elasticity written by W. Nowacki and published by Springer. This book was released on 2014-05-04 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shell and Membrane Theories in Mechanics and Biology

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Publisher : Springer
ISBN 13 : 331902535X
Total Pages : 325 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Shell and Membrane Theories in Mechanics and Biology by : Holm Altenbach

Download or read book Shell and Membrane Theories in Mechanics and Biology written by Holm Altenbach and published by Springer. This book was released on 2014-09-09 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.

A Treatise on the Mathematical Theory of Elasticity

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A Treatise on the Mathematical Theory of Elasticity by : Augustus Edward Hough Love

Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1893 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Local Gradient Theory for Dielectrics

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Publisher : CRC Press
ISBN 13 : 1000761746
Total Pages : 331 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Local Gradient Theory for Dielectrics by : Olha Hrytsyna

Download or read book Local Gradient Theory for Dielectrics written by Olha Hrytsyna and published by CRC Press. This book was released on 2019-11-22 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of the local gradient theory of dielectrics. It presents a brief description of the known approaches to the construction of generalized (integral- and gradient-type) continuous theories of dielectrics. It describes a new continuum–thermodynamic approach to the construction of nonlinear high-order gradient theory of thermoelastic non-ferromagnetic polarized media. This approach is based on accounting for non-diffusive and non-convective mass fluxes associated with the changes in the material microstructure. Within the linear approximation, the theory has been applied to study transition modes of the formation of near-surface inhomogeneity of coupled fields in solids, disjoining pressure in thin films, etc. The theory describes a number of observable phenomena (including the surface, size, flexoelectric, pyroelectric, and thermopolarization effects in centrosymmetric crystals, the Meads anomaly, the high frequency dispersion of elastic waves, etc.) that cannot be explained within the framework of the classical theory of dielectrics.