Generalized Continua And Dislocation Theory

Author : Carlo Sansour,Sebastian Skatulla
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 54,5 Mb
Release : 2012-05-27
Category : Science
ISBN : 9783709112229

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Generalized Continua and Dislocation Theory by Carlo Sansour,Sebastian Skatulla Pdf

Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics. The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.

Author : E. Kröner
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 50,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662302576

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Mechanics of Generalized Continua by E. Kröner Pdf

5 The symposium was held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to 2 of September 1967. The proposal to hold this symposium originated with the German Society of Applied Mathematics and Mechanics (GAMM) late in 1964 and was examined by a committee of IUTAM especially appointed for this purpose. The basis of this examination was a report in which the present situation in the field and the possible aims of the symposium were surveyed. Briefly, the aims of the symposium were stated to be 1. the unification of the various approaches developed in recent years with the aim of penetrating into the microscopic world of matter by means of continuum theories; 2. the bridging of the gap between microscopic (or atomic) research on mechanics on one hand, and the phenomenological (or continuum mechanical) approach on the other hand; 3. the physical interpretation and the relation to actual material behaviour of the quantities and laws introduced into the new theories, together with applications; 4. the further development of the theories, where necessary, and the clarification of open questions; 5. a stocktaking of present achievements and the prognosis for future developments. The committee agreed unanimously that the topic of the symposium represented an important phase of current developments in continuum mechanics, from the purely theoretical point of view as well as in connection with possible applications to actual materials.

Author : Gérard A. Maugin,Andrei V. Metrikine
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 51,9 Mb
Release : 2010-03-24
Category : Mathematics
ISBN : 9781441956958

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Mechanics of Generalized Continua by Gérard A. Maugin,Andrei V. Metrikine Pdf

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Author : Anonim
Publisher : Unknown
Page : 358 pages
File Size : 50,8 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:473345092

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Mechanics of Generalized Continua. Proceedings of the IUTAM-symposium on the Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart 1967 by Anonim Pdf

Author : Holm Altenbach,Samuel Forest,Anton Krivtsov
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 46,6 Mb
Release : 2014-07-08
Category : Science
ISBN : 9783642363948

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Generalized Continua as Models for Materials by Holm Altenbach,Samuel Forest,Anton Krivtsov Pdf

This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches

Author : Sinisa Mesarovic,Samuel Forest,Hussein Zbib
Publisher : Springer
Page : 344 pages
File Size : 53,5 Mb
Release : 2018-11-19
Category : Science
ISBN : 9783319941868

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Mesoscale Models by Sinisa Mesarovic,Samuel Forest,Hussein Zbib Pdf

The book helps to answer the following questions: How far have the understanding and mesoscale modeling advanced in recent decades, what are the key open questions that require further research and what are the mathematical and physical requirements for a mesoscale model intended to provide either insight or a predictive engineering tool? It is addressed to young researchers including doctoral students, postdocs and early career faculty,

Author : John Arthur Simmons,Roland De Wit,R. Bullough
Publisher : Unknown
Page : 752 pages
File Size : 55,7 Mb
Release : 1970
Category : Dislocations in crystals
ISBN : UOM:39015086529693

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Fundamental Aspects of Dislocation Theory by John Arthur Simmons,Roland De Wit,R. Bullough Pdf

Author : Dongwon Shin,James Saal
Publisher : Springer
Page : 233 pages
File Size : 50,9 Mb
Release : 2017-11-10
Category : Technology & Engineering
ISBN : 9783319682808

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Computational Materials System Design by Dongwon Shin,James Saal Pdf

This book provides state-of-the-art computational approaches for accelerating materials discovery, synthesis, and processing using thermodynamics and kinetics. The authors deliver an overview of current practical computational tools for materials design in the field. They describe ways to integrate thermodynamics and kinetics and how the two can supplement each other.

Author : Bernd Markert
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 52,5 Mb
Release : 2011-07-15
Category : Science
ISBN : 9783642227387

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Advances in Extended and Multifield Theories for Continua by Bernd Markert Pdf

Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.

Author : Holm Altenbach,Alexander Belyaev,Victor A. Eremeyev,Anton Krivtsov,Alexey V. Porubov
Publisher : Springer
Page : 525 pages
File Size : 41,9 Mb
Release : 2019-03-06
Category : Science
ISBN : 9783030116651

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Dynamical Processes in Generalized Continua and Structures by Holm Altenbach,Alexander Belyaev,Victor A. Eremeyev,Anton Krivtsov,Alexey V. Porubov Pdf

This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

Author : John Arthur Simmons,Roland De Wit,R. Bullough
Publisher : Unknown
Page : 624 pages
File Size : 43,8 Mb
Release : 1970
Category : Dislocations in crystals
ISBN : UOM:39015086529701

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Fundamental Aspects of Dislocation Theory by John Arthur Simmons,Roland De Wit,R. Bullough Pdf

Author : Sergei M. Aizikovich,Holm Altenbach,Victor Eremeyev,Michael Vincent Swain,Alexander Galybin
Publisher : Springer Nature
Page : 187 pages
File Size : 44,8 Mb
Release : 2020-08-12
Category : Technology & Engineering
ISBN : 9783030481612

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Modeling, Synthesis and Fracture of Advanced Materials for Industrial and Medical Applications by Sergei M. Aizikovich,Holm Altenbach,Victor Eremeyev,Michael Vincent Swain,Alexander Galybin Pdf

This book gathers papers presented at the international workshop PMSDAM’19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines.

Author : Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 40,7 Mb
Release : 2011-04-02
Category : Technology & Engineering
ISBN : 9783642192197

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Mechanics of Generalized Continua by Holm Altenbach,Gérard A. Maugin,Vladimir Erofeev Pdf

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
Page : 802 pages
File Size : 52,9 Mb
Release : 2014-07-08
Category : Science
ISBN : 9789400726161

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Treatise on Classical Elasticity by Petre P. Teodorescu Pdf

Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.

Author : Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov
Publisher : Springer Nature
Page : 781 pages
File Size : 44,8 Mb
Release : 2023-02-13
Category : Science
ISBN : 9783031261862

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Sixty Shades of Generalized Continua by Holm Altenbach,Arkadi Berezovski,Francesco dell'Isola,Alexey Porubov Pdf

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.