Analysis And Computation Of Microstructure In Finite Plasticity
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Analysis And Computation Of Microstructure In Finite Plasticity
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Author : Sergio Conti
language : en
Publisher: Springer
Release Date : 2015-04-23
Analysis And Computation Of Microstructure In Finite Plasticity written by Sergio Conti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-23 with Science categories.
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.
Plasticity And Beyond
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Author : Jörg Schröder
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-20
Plasticity And Beyond written by Jörg Schröder 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 2013-09-20 with Science categories.
The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.
Computational Methods For Plasticity
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Author : Eduardo A. de Souza Neto
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-21
Computational Methods For Plasticity written by Eduardo A. de Souza Neto and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-21 with Science categories.
The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book: Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume. Includes many numerical examples that illustrate the application of the methodologies described. Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics. Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website. This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.
Introduction To Geometrically Nonlinear Continuum Dislocation Theory
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Author : Christian B. Silbermann
language : en
Publisher: Springer Nature
Release Date : 2021-03-02
Introduction To Geometrically Nonlinear Continuum Dislocation Theory written by Christian B. Silbermann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Technology & Engineering categories.
This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.
Finite Elements In Plasticity
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Author : D. R. J. Owen
language : en
Publisher:
Release Date : 1980
Finite Elements In Plasticity written by D. R. J. Owen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Elasticity categories.
Iutam Symposium On Variational Concepts With Applications To The Mechanics Of Materials
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Author : Klaus Hackl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-02
Iutam Symposium On Variational Concepts With Applications To The Mechanics Of Materials written by Klaus Hackl 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 2010-06-02 with Science categories.
Variational calculus has been the basis of a variety of powerful methods in the ?eld of mechanics of materials for a long time. Examples range from numerical schemes like the ?nite element method to the determination of effective material properties via homogenization and multiscale approaches. In recent years, however, a broad range of novel applications of variational concepts has been developed. This c- prises the modeling of the evolution of internal variables in inelastic materials as well as the initiation and development of material patterns and microstructures. The IUTAM Symposium on “Variational Concepts with Applications to the - chanics of Materials” took place at the Ruhr-University of Bochum, Germany, on September 22–26, 2008. The symposium was attended by 55 delegates from 10 countries. Altogether 31 lectures were presented. The objective of the symposium was to give an overview of the new dev- opments sketched above, to bring together leading experts in these ?elds, and to provide a forum for discussing recent advances and identifying open problems to work on in the future. The symposium focused on the developmentof new material models as well as the advancement of the corresponding computational techniques. Speci?c emphasis is put on the treatment of materials possessing an inherent - crostructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topics addressed at the symposium were: 1. Energy-based modeling of material microstructures via envelopes of n- quasiconvex potentials and applications to plastic behavior and pha- transformations.
Crystal Plasticity Finite Element Methods
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Author : Franz Roters
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-04
Crystal Plasticity Finite Element Methods written by Franz Roters and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-04 with Technology & Engineering categories.
Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Computational Plasticity For Finite Elements
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Author : Michael Trapp
language : en
Publisher: Springer
Release Date : 2018-03-06
Computational Plasticity For Finite Elements written by Michael Trapp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Science categories.
This volume demonstrates the use of FORTRAN for numerical computing in the context of the finite element method. FORTRAN is still an important programming language for computational mechanics and all classical finite element codes are written in this language, some of them even offer an interface to link user-code to the main program. This feature is especially important for the development and investigation of new engineering structures or materials. Thus, this volume gives a simple introduction to programming of elasto-plastic material behavior, which is, for example, the prerequisite for implementing new constitutive laws into a commercial finite element program.
Deep Material Networks For Efficient Scale Bridging In Thermomechanical Simulations Of Solids
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Author : Gajek, Sebastian
language : en
Publisher: KIT Scientific Publishing
Release Date : 2023-08-25
Deep Material Networks For Efficient Scale Bridging In Thermomechanical Simulations Of Solids written by Gajek, Sebastian and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-25 with categories.
We investigate deep material networks (DMN). We lay the mathematical foundation of DMNs and present a novel DMN formulation, which is characterized by a reduced number of degrees of freedom. We present a efficient solution technique for nonlinear DMNs to accelerate complex two-scale simulations with minimal computational effort. A new interpolation technique is presented enabling the consideration of fluctuating microstructure characteristics in macroscopic simulations.
Elements Of Plasticity
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Author : I. St Doltsinis
language : en
Publisher: WIT Press
Release Date : 2010
Elements Of Plasticity written by I. St Doltsinis and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.
Providing the essential theoretical framework for understanding elastoplastic behaviour, this text develops the subject of small strain elastoplasticity from classical theory to modern computational techniques.