Micromechanics Of Fracture In Generalized Spaces
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Micromechanics Of Fracture In Generalized Spaces
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Author : Ihar Alaksandravich Miklashevich
language : en
Publisher: Elsevier
Release Date : 2008-01-08
Micromechanics Of Fracture In Generalized Spaces written by Ihar Alaksandravich Miklashevich and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Technology & Engineering categories.
By the detailed analysis of the modern development of the mechanics of deformable media can be found the deep internal contradiction. From the one hand it is declared that the deformation and fracture are the hierarchical processes which are linked and unite several structural and scale levels. From the other hand the sequential investigation of the hierarchy of the deformation and destruction is not carried out. The book's aim is filling this mentioned gap and investigates the hot topic of the fracture of non-ideal media. From the microscopic point of view in the book we study the hierarchy of the processes in fractured solid in the whole diapason of practically used scales. According the multilevel hierarchical system ideology under "microscopic we understand taking into account the processes on the level lower than relative present strata. From hierarchical point of view the conception of "microscopic fracture can be soundly applied to the traditionally macroscopic area, namely geomechanics or main crack propagation. At the same time microscopic fracture of the nanomaterials can be well-grounded too. This ground demands the investigation on the level of inter-atomic interaction and quantum mechanical description. The important feature of the book is the application of fibred manifolds and non-Euclidean spaces to the description of the processes of deformation and fracture in inhomogeneous and defected continua. The non-Euclidean spaces for the dislocations' description were introduced by J.F. Nye, B.A. Bilby, E. Kröner, K. Kondo in fiftieth. In last decades this necessity was shown in geomechanics and theory of seismic signal propagation. The applications of non-Euclidean spaces to the plasticity allow us to construct the mathematically satisfying description of the processes. Taking into account this space expansion the media with microstructure are understood as Finsler space media. The bundle space technique is used for the description of the influence of microstructure on the continuum metrics. The crack propagation is studied as a process of movement in Finsler space. Reduction of the general description to the variational principle in engineering case is investigated and a new result for the crack trajectory in inhomogeneous media is obtained. Stability and stochastization of crack trajectory in layered composites is investigated. The gauge field is introduced on the basis of the structure representation of Lie group generated by defects without any additional assumption. Effective elastic and non-elastic media for nanomaterials and their geometrical description are discussed. The monograph provides the basis for more detailed and exact description of real processes in the material. The monograph will be interesting for the researchers in the field of fracture mechanics, solid state physics and geomechanics. It can be used as well by the last year students wishing to become more familiar with some modern approaches to the physics of fracture and continual theory of dislocations. In Supplement, written by V.V.Barkaline, quantum mechanical concept of physical body wholeness according to H. Primas is discussed with relation to fracture. Role of electronic subsystem in fracture dynamics in adiabatic and non-adiabatic approximations is clarified. Potential energy surface of ion subsystem accounting electron contribution is interpreted as master parameter of fracture dynamics. Its features and relation to non-euclidean metrics of defected solid body is discussed. Quantum mechanical criteria of fracture arising are proposed.
Field Theory Of Multiscale Plasticity
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Author : Tadashi Hasebe
language : en
Publisher: Cambridge University Press
Release Date : 2024-01-04
Field Theory Of Multiscale Plasticity written by Tadashi Hasebe and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-04 with Science categories.
This unique book provides a concise and systematic treatment of foundational material on dislocations and metallurgy and an up-to-date discussion of multiscale modeling of materials, which ultimately leads to the field theory of multiscale plasticity (FTMP). Unlike conventional continuum models, this approach addresses the evolving inhomogeneities induced by deformation, typically as dislocation substructures like dislocation cells, as well as their interplay at more than one scale. This is an impressively visual text with many and varied examples and viewgraphs. In particular, the book presents a feasible constitutive model applicable to crystal plasticity-based finite element method (FEM) simulations. It will be an invaluable resource, accessible to undergraduate and graduate students as well as researchers in mechanical engineering, solid mechanics, applied physics, mathematics, materials science, and technology.
Macro And Micro Mechanics Of High Velocity Deformation And Fracture
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Author : Kozo Kawata
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Macro And Micro Mechanics Of High Velocity Deformation And Fracture written by Kozo Kawata and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The IUTAM Symposium on Macro- and Micro-Mechanics of High Velocity Deformation and Fracture (MMMHVDF) (August 12 - 15, 1985) was held at Science Council of Japan, under the sponsor ship of IUTAM, Science Council of Japan, Japan Society for the Promotion of Science, The Commemorative Association for the Japan World Exposition (1970), and The Japan Society for Aeronautical and Space Sciences. The proposal of the symposium was accepted by the General Assembly of IUTAM, and the scientists mentioned below were appointed by the Bureau of IUTAM to serve as member of the Scientific Committee. The main object of the Symposium was to make a general survey of recent developments in the re search of high velocity solid mechanics and to explore further new ideas for dealing with unsettled problems, of fundamental nature as well as of practical importance. The subjects covered theoretical, experimental, and numerical fields in macro- and micro-mechanics associated with high velocity de formatio~ and fracture in soldis, covering metals, ceramics, polymers, and composites.
Theoretical And Applied Mechanics 1992
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Author : S.R. Bodner
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Theoretical And Applied Mechanics 1992 written by S.R. Bodner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Contained in this volume are the full texts of the invited general and sectional lectures presented at this conference concerning mechanics and its development. The entire field of mechanics is covered, including analytical, solid and fluid mechanics and their applications. A brilliant survey of work in the fields of fluid and solid mechanics is also given. The papers are written by leading experts which is reflected in the quality and diversity of the lectures and posters presented, they will provide a valuable key to the latest and most important developments in the various sub-fields of mechanics.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Micromechanics Of Composite Materials
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Author : George Dvorak
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-09
Micromechanics Of Composite Materials written by George Dvorak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-09 with Science categories.
This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale. Many new results and methods developed by the author are incorporated into the rich fabric of the subject, which has developed from the work of many researchers over the last 50 years. Among the new results, the book offers an extensive analysis of internal and interface stresses caused by eigenstrains, such as thermal, transformation and inelastic strains in the constituents, which often exceed those caused by mechanical loads, and of inelastic behavior of metal matrix composites. Fiber prestress in laminates, and modeling of functionally graded materials are also analyzed. Furthermore, this book outlines several key subjects on modeling the properties of composites reinforced by particles of various shapes, aligned fibers, symmetric laminated plates and metal matrix composites. This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures.
Nasa Technical Memorandum
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Author :
language : en
Publisher:
Release Date : 1988
Nasa Technical Memorandum written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Aeronautics categories.
Engine Structures
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Author :
language : en
Publisher:
Release Date : 1988
Engine Structures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Engines categories.
Raag Memoirs Of The Unifying Study Of Basic Problems In Engineering And Physical Sciences By Means Of Geometry
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Author : Kazuo Kondō
language : en
Publisher:
Release Date : 1968
Raag Memoirs Of The Unifying Study Of Basic Problems In Engineering And Physical Sciences By Means Of Geometry written by Kazuo Kondō and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Calculus of tensors categories.
Foundations Of The Probabilistic Mechanics Of Discrete Media
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Author : D. R. Axelrad
language : en
Publisher: Elsevier
Release Date : 2016-03-16
Foundations Of The Probabilistic Mechanics Of Discrete Media written by D. R. Axelrad and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-16 with Science categories.
This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in the formulation of the behaviour of discrete media with the inclusion of microstructural effects. Although quantum mechanics have long been recognized as a stochastic theory, the introduction of probabilistic concepts and principles to classical mechanics has in general not been attempted. In this study the author takes the view that the significant field quantities of a discrete medium are random variables or functions of such variables. Hence the probabilistic mechanics of discrete media are based on the mathematical theory of probability and the axiomatics of measure theory.