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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies : Lecture Notes in Physics - Leonid M. Zubov

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Lecture Notes in Physics

Hardcover Published: 10th October 1997
ISBN: 9783540626848
Number Of Pages: 208

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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 Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Introductionp. 1
Volterra's Dislocations in Elastic Body. Large Deformationp. 9
Stressed State of Nonlinearly Elastic Bodies with Dislocations and Disclinationsp. 41
Exact Solutions Stressed to the Problems on Volterra Dislocations in Nonlinearly Elastic Bodiesp. 65
Isolated Defects in Nonlinearly Elastic Bodies with Couple Stressesp. 103
Nonlinear Theory of Dislocations and Disclinations in Elastic Shellsp. 131
Stability of Equilibrium and Wave Propagation in Bodies with Inherent Stressesp. 167
Referencesp. 193
Notationsp. 197
Indexp. 203
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540626848
ISBN-10: 3540626840
Series: Lecture Notes in Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 208
Published: 10th October 1997
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.48