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Nonlinear Theory Of Elastic Plates

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Nonlinear Theory of Elastic Plates

Nonlinear Theory of Elastic Plates Book
Author : Anh Le Van
Publisher : Elsevier
Release : 2017-05-31
ISBN : 0081023596
Language : En, Es, Fr & De

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Book Description :

Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource. Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results

Nonlinear Theory Of Elasticity Applications In Biomechanics

Nonlinear Theory Of Elasticity  Applications In Biomechanics Book
Author : Larry A Taber
Publisher : World Scientific
Release : 2004-02-19
ISBN : 9814483397
Language : En, Es, Fr & De

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Book Description :

Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.

A Nonlinear Theory for Thin Elastic Plates

A Nonlinear Theory for Thin Elastic Plates Book
Author : Jatin M. Anadkat,Youngstown State University. Rayen School of Engineering
Publisher : Unknown
Release : 1972
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Nonlinear Theory for Thin Elastic Plates book written by Jatin M. Anadkat,Youngstown State University. Rayen School of Engineering, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Vibrations of Elastic Plates

Vibrations of Elastic Plates Book
Author : Yi-Yuan Yu
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461223385
Language : En, Es, Fr & De

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Book Description :

This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers.

Nonlinear Mechanics of Shells and Plates in Composite Soft and Biological Materials

Nonlinear Mechanics of Shells and Plates in Composite  Soft and Biological Materials Book
Author : Marco Amabili
Publisher : Cambridge University Press
Release : 2018-11
ISBN : 1107129222
Language : En, Es, Fr & De

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Book Description :

This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.

Theory and Analysis of Elastic Plates and Shells Second Edition

Theory and Analysis of Elastic Plates and Shells  Second Edition Book
Author : J. N. Reddy
Publisher : CRC Press
Release : 1999-02-10
ISBN : 9781560327059
Language : En, Es, Fr & De

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Book Description :

This text presents a complete treatment of the theory and analysis of elastic plates. It provides detailed coverage of classic and shear deformation plate theories and their solutions by analytical as well as numerical methods for bending, buckling and natural vibrations. Analytical solutions are based on the Navier and Levy solution method, and numerical solutions are based on the Rayleigh-Ritz methods and finite element method. The author address a range of topics, including basic equations of elasticity, virtual work and energy principles, cylindrical bending of plates, rectangular plates and an introduction to the finite element method with applications to plates.

The Nonlinear Theory of Elastic Shells

The Nonlinear Theory of Elastic Shells Book
Author : A. Libai,J. G. Simmonds,James G.. Simmonds
Publisher : Cambridge University Press
Release : 1998-02-13
ISBN : 0521472369
Language : En, Es, Fr & De

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Book Description :

A clear, thorough explanation of the nonlinear behaviour of shells, for researchers and graduate students.

Nonlinear Theory of Shallow Shells

Nonlinear Theory of Shallow Shells Book
Author : Iosif I. Vorovich
Publisher : Springer Science & Business Media
Release : 2008-01-08
ISBN : 0387227768
Language : En, Es, Fr & De

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Book Description :

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Theory and Analysis of Elastic Plates and Shells

Theory and Analysis of Elastic Plates and Shells Book
Author : J. N. Reddy
Publisher : CRC Press
Release : 2006-11-20
ISBN : 0849384168
Language : En, Es, Fr & De

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Book Description :

Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete

Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates Book
Author : Marco Amabili
Publisher : Cambridge University Press
Release : 2008-01-14
ISBN : 1139469029
Language : En, Es, Fr & De

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Book Description :

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Linear Theories of Elasticity and Thermoelasticity

Linear Theories of Elasticity and Thermoelasticity Book
Author : Clifford Truesdell
Publisher : Springer
Release : 2013-12-17
ISBN : 3662397765
Language : En, Es, Fr & De

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Book Description :

Download Linear Theories of Elasticity and Thermoelasticity book written by Clifford Truesdell, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Nonlinear Analysis of Structures 1997

Nonlinear Analysis of Structures  1997  Book
Author : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
Release : 2017-11-22
ISBN : 1351359819
Language : En, Es, Fr & De

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Book Description :

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.

Shell and Membrane Theories in Mechanics and Biology

Shell and Membrane Theories in Mechanics and Biology Book
Author : Holm Altenbach,Gennadi I. Mikhasev
Publisher : Springer
Release : 2014-09-09
ISBN : 331902535X
Language : En, Es, Fr & De

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Book Description :

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.

Shell Structures Theory and Applications

Shell Structures  Theory and Applications Book
Author : Wojciech Pietraszkiewicz,Jaroslaw Gorski
Publisher : CRC Press
Release : 2013-09-18
ISBN : 1138000825
Language : En, Es, Fr & De

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Book Description :

Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insects. In the human body arteries, the shell of the eye, the diaphragm, the skin or the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 3 contains 137 contributions presented at the 10th Conference “Shell Structures: Theory and Applications” held October 16-18, 2013 in Gdansk, Poland. The papers cover a wide spectrum of scientific and engineering problems which are divided into seven broad groups: general lectures, theoretical modelling, stability, dynamics, bioshells, numerical analyses, and engineering design. The volume will be of interest to researchers and designers dealing with modelling and analyses of shell structures and thin-walled structural elements.

Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity Book
Author : V. V. Novozhilov
Publisher : Courier Corporation
Release : 1999-01-01
ISBN : 9780486406848
Language : En, Es, Fr & De

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Book Description :

This is an essential book for students and academicians alike. In addition to discussing theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain, and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition.

Linear and Non Linear Deformations of Elastic Solids

Linear and Non Linear Deformations of Elastic Solids Book
Author : Arabinda Roy,Rasajit Kumar Bera
Publisher : CRC Press
Release : 2019-12-06
ISBN : 1000758141
Language : En, Es, Fr & De

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Book Description :

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

A Nonlinear Theory of Thin Elastic Plates in Orthogonal Curvilinear Coordinates

A Nonlinear Theory of Thin Elastic Plates in Orthogonal Curvilinear Coordinates Book
Author : Amnuayporn Siriaksorn
Publisher : Unknown
Release : 1974
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Nonlinear Theory of Thin Elastic Plates in Orthogonal Curvilinear Coordinates book written by Amnuayporn Siriaksorn, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Simplified Analytical Methods of Elastic Plates

Simplified Analytical Methods of Elastic Plates Book
Author : Hideo Takabatake
Publisher : Springer
Release : 2018-11-02
ISBN : 9811300860
Language : En, Es, Fr & De

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Book Description :

This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings’ practical use.

Refined Dynamical Theories of Beams Plates and Shells and Their Applications

Refined Dynamical Theories of Beams  Plates and Shells and Their Applications Book
Author : Isaac Elishakoff,Horst Irretier
Publisher : Springer Science & Business Media
Release : 2013-03-12
ISBN : 3642830404
Language : En, Es, Fr & De

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Book Description :

As is known, classical theories of vibration of the most fre quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.

Elasticity and Geometry

Elasticity and Geometry Book
Author : Basile Audoly,Yves Pomeau
Publisher : Oxford University Press
Release : 2010-06-24
ISBN : 0198506252
Language : En, Es, Fr & De

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Book Description :

We experience elasticity everywhere in everyday life: straightening or curling of hairs, irreversible deformations of car bodies after a crash, bouncing of elastic balls (ping-pong, soccer), etc. In the technological domain, many bulk materials are coated with thin layers that may be subject to delamination, another complex process where elasticity is important. This book covers several modern aspects of the venerable field of elasticity theory. This book appliesgeneral methods of classical analysis including advanced nonlinear aspects to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection withexperiments. The matter is self-contained; the prerequisites are calculus at the undergraduate level. This book can serve as a concrete introduction to nonlinear methods in science.