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Nonlinear Theory of Elastic Plates

Nonlinear Theory of Elastic Plates
  • Author : Anh Le Van
  • Publsiher : Elsevier
  • Release : 31 May 2017
  • ISBN : 0081023596
  • Pages : 212 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKNonlinear Theory of Elastic Plates

Summary:
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 Elastic Plates

Nonlinear Theory of Elastic Plates
  • Author : Anh Le Van
  • Publisher : Elsevier
  • Release : 31 May 2017
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,

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Nonlinear Theory Of Elasticity: Applications In Biomechanics

Nonlinear Theory Of Elasticity: Applications In Biomechanics
  • Author : Larry A Taber
  • Publisher : World Scientific
  • Release : 19 February 2004
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.

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Vibrations of Elastic Plates

Vibrations of Elastic Plates
  • Author : Yi-Yuan Yu
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
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

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The Nonlinear Theory of Elastic Shells

The Nonlinear Theory of Elastic Shells
  • Author : A. Libai
  • Publisher : Elsevier
  • Release : 02 December 2012
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

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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 : 10 February 1999
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

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Nonlinear Analysis of Structures (1997)

Nonlinear Analysis of Structures (1997)
  • Author : Muthukrishnan Sathyamoorthy
  • Publisher : CRC Press
  • Release : 22 November 2017
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,

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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 : 09 September 2014
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,

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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
  • Author : Leonid M. Zubov
  • Publisher : Springer Science & Business Media
  • Release : 11 September 2008
GET THIS BOOKNonlinear Theory of Dislocations and Disclinations in Elastic Bodies

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

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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 : 01 November 2018
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.

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Generalized Models and Non-classical Approaches in Complex Materials 1

Generalized Models and Non-classical Approaches in Complex Materials 1
  • Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
  • Publisher : Springer
  • Release : 24 March 2018
GET THIS BOOKGeneralized Models and Non-classical Approaches in Complex Materials 1

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive

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Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates
  • Author : Marco Amabili
  • Publisher : Cambridge University Press
  • Release : 14 January 2008
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

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Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics
  • Author : Kam Tim Chau
  • Publisher : CRC Press
  • Release : 08 January 2019
GET THIS BOOKApplications of Differential Equations in Engineering and Mechanics

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics

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