Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /

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 is essential since the deformation near the axes of an isolated defect is rather big, so the linear theory is not applicable here. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions of the problems are found. The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory. The book addresses students and researchers.

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Main Authors: Zubov, Leonid M. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997
Subjects:Physics., Crystallography., Mathematical Methods in Physics., Numerical and Computational Physics.,
Online Access:http://dx.doi.org/10.1007/978-3-540-68430-5
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spelling KOHA-OAI-TEST:2079102018-07-30T23:38:40ZNonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] / Zubov, Leonid M. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg,1997.engThe 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 is essential since the deformation near the axes of an isolated defect is rather big, so the linear theory is not applicable here. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions of the problems are found. The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory. The book addresses students and researchers.Volterra’s Dislocations in Elastic Body. Large Deformation -- Stressed State of Nonlinearly Elastic Bodies with Dislocations and Disclinations -- Exact Solutions Stressed to the Problems on Volterra Dislocations in Nonlinearly Elastic Bodies -- Isolated Defects in Nonlinearly Elastic Bodies with Couple Stresses -- Nonlinear Theory of Dislocations and Disclinations in Elastic Shells -- Stability of Equilibrium and Wave Propagation in Bodies with Inherent Stresses.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 is essential since the deformation near the axes of an isolated defect is rather big, so the linear theory is not applicable here. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions of the problems are found. The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory. The book addresses students and researchers.Physics.Crystallography.Physics.Crystallography.Mathematical Methods in Physics.Numerical and Computational Physics.Springer eBookshttp://dx.doi.org/10.1007/978-3-540-68430-5URN:ISBN:9783540684305
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Physics.
Crystallography.
Physics.
Crystallography.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Physics.
Crystallography.
Physics.
Crystallography.
Mathematical Methods in Physics.
Numerical and Computational Physics.
spellingShingle Physics.
Crystallography.
Physics.
Crystallography.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Physics.
Crystallography.
Physics.
Crystallography.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Zubov, Leonid M. author.
SpringerLink (Online service)
Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
description 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 is essential since the deformation near the axes of an isolated defect is rather big, so the linear theory is not applicable here. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions of the problems are found. The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory. The book addresses students and researchers.
format Texto
topic_facet Physics.
Crystallography.
Physics.
Crystallography.
Mathematical Methods in Physics.
Numerical and Computational Physics.
author Zubov, Leonid M. author.
SpringerLink (Online service)
author_facet Zubov, Leonid M. author.
SpringerLink (Online service)
author_sort Zubov, Leonid M. author.
title Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
title_short Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
title_full Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
title_fullStr Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
title_full_unstemmed Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies [electronic resource] /
title_sort nonlinear theory of dislocations and disclinations in elastic bodies [electronic resource] /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg,
publishDate 1997
url http://dx.doi.org/10.1007/978-3-540-68430-5
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