Mechanics of Dislocation Fields

Mechanics of Dislocation Fields PDF

Author: Claude Fressengeas

Publisher: John Wiley & Sons

Published: 2017-09-25

Total Pages: 244

ISBN-13: 111857818X

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Accompanying the present trend of engineering systems aimed at size reduction and design at microscopic/nanoscopic length scales, Mechanics of Dislocation Fields describes the self-organization of dislocation ensembles at small length scales and its consequences on the overall mechanical behavior of crystalline bodies. The account of the fundamental interactions between the dislocations and other microscopic crystal defects is based on the use of smooth field quantities and powerful tools from the mathematical theory of partial differential equations. The resulting theory is able to describe the emergence of dislocation microstructures and their evolution along complex loading paths. Scale transitions are performed between the properties of the dislocation ensembles and the mechanical behavior of the body. Several variants of this overall scheme are examined which focus on dislocation cores, electromechanical interactions of dislocations with electric charges in dielectric materials, the intermittency and scale-invariance of dislocation activity, grain-to-grain interactions in polycrystals, size effects on mechanical behavior and path dependence of strain hardening.

Dislocation Based Fracture Mechanics

Dislocation Based Fracture Mechanics PDF

Author: Johannes Weertman

Publisher: World Scientific

Published: 1996

Total Pages: 552

ISBN-13: 9789810226206

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The dislocation is the basic building block of the crack in an elastic-plastic solid. Fracture mechanics is developed in this text from its dislocation foundation. It is the only text to do so. It is written for the graduate student and the new investigator entering the fracture field as well as the experienced scientist who has not used the dislocation approach. The dislocation mechanics needed to find the dislocation density fields of crack tip plastic zones is developed in detail. All known dislocation based solutions are given for the three types of cracks in elastic-plastic solids are given.

An Introduction to Composite Materials

An Introduction to Composite Materials PDF

Author: D. Hull

Publisher: Cambridge University Press

Published: 1996-08-13

Total Pages: 334

ISBN-13: 1107393183

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This edition has been greatly enlarged and updated to provide both scientists and engineers with a clear and comprehensive understanding of composite materials. In describing both theoretical and practical aspects of their production, properties and usage, the book crosses the borders of many disciplines. Topics covered include: fibres, matrices, laminates and interfaces; elastic deformation, stress and strain, strength, fatigue crack propagation and creep resistance; toughness and thermal properties; fatigue and deterioration under environmental conditions; fabrication and applications. Coverage has been increased to include polymeric, metallic and ceramic matrices and reinforcement in the form of long fibres, short fibres and particles. Designed primarily as a teaching text for final-year undergraduates in materials science and engineering, this book will also interest undergraduates and postgraduates in chemistry, physics, and mechanical engineering. In addition, it will be an excellent source book for academic and technological researchers on materials.

Mechanics of Dislocation Fields

Mechanics of Dislocation Fields PDF

Author: Claude Fressengeas

Publisher: John Wiley & Sons

Published: 2017-09-25

Total Pages: 244

ISBN-13: 1118578317

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Accompanying the present trend of engineering systems aimed at size reduction and design at microscopic/nanoscopic length scales, Mechanics of Dislocation Fields describes the self-organization of dislocation ensembles at small length scales and its consequences on the overall mechanical behavior of crystalline bodies. The account of the fundamental interactions between the dislocations and other microscopic crystal defects is based on the use of smooth field quantities and powerful tools from the mathematical theory of partial differential equations. The resulting theory is able to describe the emergence of dislocation microstructures and their evolution along complex loading paths. Scale transitions are performed between the properties of the dislocation ensembles and the mechanical behavior of the body. Several variants of this overall scheme are examined which focus on dislocation cores, electromechanical interactions of dislocations with electric charges in dielectric materials, the intermittency and scale-invariance of dislocation activity, grain-to-grain interactions in polycrystals, size effects on mechanical behavior and path dependence of strain hardening.

Dislocation Based Fracture Mechanics

Dislocation Based Fracture Mechanics PDF

Author: Johannes Weertman

Publisher: World Scientific Publishing Company

Published: 1996-02-16

Total Pages: 548

ISBN-13: 981310497X

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The dislocation is the basic building block of the crack in an elastic-plastic solid. Fracture mechanics is developed in this text from its dislocation foundation. It is the only text to do so. It is written for the graduate student and the new investigator entering the fracture field as well as the experienced scientist who has not used the dislocation approach. The dislocation mechanics needed to find the dislocation density fields of crack tip plastic zones is developed in detail. All known dislocation based solutions are given for the three types of cracks in elastic-plastic solids are given.

Theory of Dislocations

Theory of Dislocations PDF

Author: Peter M. Anderson

Publisher: Cambridge University Press

Published: 2017-01-16

Total Pages: 721

ISBN-13: 0521864364

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This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics

Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics PDF

Author: Peter Gumbsch

Publisher: Springer Science & Business Media

Published: 2011-01-30

Total Pages: 401

ISBN-13: 3709102839

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The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.

Mathematical Theory of Dislocations and Fracture

Mathematical Theory of Dislocations and Fracture PDF

Author: R. W. Lardner

Publisher: Toronto ; Buffalo : University of Toronto Press

Published: 1974

Total Pages: 386

ISBN-13:

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Concise, logical, and mathematically rigorous, this introduction to the theory of dislocations is addressed primarily to students and researchers in the general areas of mechanics and applied mathematics. Its scope encompasses those aspects of dislocation theory which are closely related to the theories of elasticity and macroscopic plasticity, to modern continuum mechanics, and to the theory of cracks and fracture. The volume incorporates several new and original pieces of work, including a development of the theory of dislocation motion and plastic strain for non-linear materials, a new discussion of the line tension model, revised calculations of the Peierls resistance, and a new development of the van der Merwe theory of crystal interfaces.

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