Nonlinear 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, 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

Produk Detail:

  • Author : Anh Le Van
  • Publisher : Elsevier
  • Pages : 212 pages
  • ISBN : 0081023596
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNonlinear Theory of Elastic Plates

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,

Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity
  • Author : V. V. Novozhilov
  • Publisher : Courier Corporation
  • Release : 01 January 1999
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.

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 : 10 October 1997
GET THIS BOOKNonlinear Theory of Dislocations and Disclinations in Elastic Bodies

The author applies methods of nonlinear elasticity to the investigation of the defects in the crystal structure of solids such as dislocations and disclinations. These defects characterize mainly the plastic and strength properties of many constructional materials. Contrary to the well-developed nonlinear continual theory of dislocations continuously distributed in the body, which is based on geometrical ideas, the nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book. This analysis

Mathematical Elasticity

Mathematical Elasticity
  • Author : Anonim
  • Publisher : Elsevier
  • Release : 22 July 1997
GET THIS BOOKMathematical Elasticity

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is

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.

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 : 20 November 2006
GET THIS BOOKTheory and Analysis of Elastic Plates and Shells, Second Edition

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, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates

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.

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

Vibrations of Elastic Plates

Vibrations of Elastic Plates
  • Author : Yi-Yuan Yu
  • Publisher : Springer Science & Business Media
  • Release : 25 April 1996
GET THIS BOOKVibrations of Elastic Plates

This book deals with the dynamical modeling of thin elastic structures, such as beams, plates and shells - particularly, the linear and nonlinear vibrations in these structures. The approach makes systematic use of variational equations of motion.

Linear and Non-Linear Deformations of Elastic Solids

Linear and Non-Linear Deformations of Elastic Solids
  • Author : Arabinda Roy,Rasajit Kumar Bera
  • Publisher : CRC Press
  • Release : 06 December 2019
GET THIS BOOKLinear and Non-Linear Deformations of Elastic Solids

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