Nonlinear Theory of Elastic Plates

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  • Publisher : Elsevier
  • Release : 31 May 2017
  • ISBN : 9780081023594
  • Page : 212 pages
  • Rating : 4.5/5 from 103 voters

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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

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Nonlinear Theory of Elastic Plates

Nonlinear Theory of Elastic Plates
  • Author : Anh Le Van
  • Publisher : Elsevier
  • Release Date : 2017-05-31
  • ISBN : 9780081023594
GET THIS BOOKNonlinear Theory of Elastic Plates

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,

Vibrations of Elastic Plates

Vibrations of Elastic Plates
  • Author : Yi-Yuan Yu
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781461223382
GET THIS BOOKVibrations of Elastic Plates

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

Nonlinear Theory Of Elasticity: Applications In Biomechanics

Nonlinear Theory Of Elasticity: Applications In Biomechanics
  • Author : Larry A Taber
  • Publisher : World Scientific
  • Release Date : 2004-02-19
  • ISBN : 9789814483391
GET THIS BOOKNonlinear Theory Of Elasticity: Applications In Biomechanics

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.

The Nonlinear Theory of Elastic Shells

The Nonlinear Theory of Elastic Shells
  • Author : A. Libai
  • Publisher : Elsevier
  • Release Date : 2012-12-02
  • ISBN : 9780323150811
GET THIS BOOKThe Nonlinear Theory of Elastic Shells

The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells

Nonlinear Theory of Shallow Shells

Nonlinear Theory of Shallow Shells
  • Author : Iosif I. Vorovich
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-01-08
  • ISBN : 9780387227764
GET THIS BOOKNonlinear Theory of Shallow Shells

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, Second Edition

Theory and Analysis of Elastic Plates and Shells, Second Edition
  • Author : J. N. Reddy
  • Publisher : CRC Press
  • Release Date : 1999-02-10
  • ISBN : 1560327057
GET THIS BOOKTheory and Analysis of Elastic Plates and Shells, Second Edition

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

Stress Concentration about Curvilinear Holes in Physically Nonlinear Elastic Plates

Stress Concentration about Curvilinear Holes in Physically Nonlinear Elastic Plates
  • Author : Aleksandr Nikolaevich Guzʹ,Guriĭ Nikolaevich Savin,I. A. Tsurpal
  • Publisher : Unknown
  • Release Date : 1966
  • ISBN : UIUC:30112106608836
GET THIS BOOKStress Concentration about Curvilinear Holes in Physically Nonlinear Elastic Plates

An approximate solution method of plane physical nonlinear problems of stress concentration about curvilinear holes in thin plates made of a material subject to a nonlinear law of elasticity is given. The solutions are represented in the form of expansions in the small parameter mu and epsilon. The determination of the stress function F for a physically nonlinear elastic plate with a hole reduces for each approximation to the integration of nonlinear differential equations. Stress concentration about an elliptic hole

Theory and Analysis of Elastic Plates and Shells

Theory and Analysis of Elastic Plates and Shells
  • Author : J. N. Reddy
  • Publisher : CRC Press
  • Release Date : 2006-11-20
  • ISBN : 9780849384165
GET THIS BOOKTheory and Analysis of Elastic Plates and Shells

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
  • Author : Marco Amabili
  • Publisher : Cambridge University Press
  • Release Date : 2008-01-14
  • ISBN : 9781139469029
GET THIS BOOKNonlinear Vibrations and Stability of Shells and Plates

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

Linear Theories of Elasticity and Thermoelasticity

Linear Theories of Elasticity and Thermoelasticity
  • Author : Clifford Truesdell
  • Publisher : Springer
  • Release Date : 2013-12-17
  • ISBN : 9783662397763
GET THIS BOOKLinear Theories of Elasticity and Thermoelasticity

Nonlinear Analysis of Structures (1997)

Nonlinear Analysis of Structures (1997)
  • Author : Muthukrishnan Sathyamoorthy
  • Publisher : CRC Press
  • Release Date : 2017-11-22
  • ISBN : 9781351359818
GET THIS BOOKNonlinear Analysis of Structures (1997)

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,

Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity
  • Author : V. V. Novozhilov
  • Publisher : Courier Corporation
  • Release Date : 1999-01-01
  • ISBN : 0486406849
GET THIS BOOKFoundations of the Nonlinear Theory of Elasticity

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.

Shell and Membrane Theories in Mechanics and Biology

Shell and Membrane Theories in Mechanics and Biology
  • Author : Holm Altenbach,Gennadi I. Mikhasev
  • Publisher : Springer
  • Release Date : 2014-09-09
  • ISBN : 9783319025353
GET THIS BOOKShell and Membrane Theories in Mechanics and Biology

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,

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

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Author : Marco Amabili
  • Publisher : Cambridge University Press
  • Release Date : 2018-11
  • ISBN : 9781107129221
GET THIS BOOKNonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials

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.

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

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Author : Marco Amabili
  • Publisher : Cambridge University Press
  • Release Date : 2018-11-01
  • ISBN : 9781108577632
GET THIS BOOKNonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials

This book presents the most recent advances on the mechanics of soft and composite shells and their nonlinear vibrations and stability, including advanced problems of modeling human vessels (aorta) with fluid-structure interaction. It guides the reader into nonlinear modelling of shell structures in applications where advanced composite and complex biological materials must be described with great accuracy. To achieve this goal, the book presents nonlinear shell theories, nonlinear vibrations, buckling, composite and functionally graded materials, hyperelasticity, viscoelasticity, nonlinear damping, rubber