Mechanics Of Strain Gradient Materials

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Mechanics Of Strain Gradient Materials
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Author : Albrecht Bertram
language : en
Publisher: Springer Nature
Release Date : 2020-06-30
Mechanics Of Strain Gradient Materials written by Albrecht Bertram and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-30 with Science categories.
Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.
Heterostructured Materials
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Author : Xiaolei Wu
language : en
Publisher: CRC Press
Release Date : 2021-11-24
Heterostructured Materials written by Xiaolei Wu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-24 with Technology & Engineering categories.
Heterostructured (HS) materials represent an emerging class of materials that are expected to become a major research field for the communities of materials, mechanics, and physics in the next couple of decades. One of the biggest advantages of HS materials is that they can be produced by large-scale industrial facilities and technologies and therefore can be commercialized without the scaling up and high-cost barriers that are often encountered by other advanced materials. This book collects recent papers on the progress in the field of HS materials, especially their fundamental physics. The papers are arranged in a sequence of chapters that will help new researchers entering the field to have a quick and comprehensive understanding of HS materials, including the fundamentals and recent progress in their processing, characterization, and properties.
Dislocation Mechanism Based Crystal Plasticity
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Author : Zhuo Zhuang
language : en
Publisher: Academic Press
Release Date : 2019-04-12
Dislocation Mechanism Based Crystal Plasticity written by Zhuo Zhuang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-12 with Technology & Engineering categories.
Dislocation Based Crystal Plasticity: Theory and Computation at Micron and Submicron Scale provides a comprehensive introduction to the continuum and discreteness dislocation mechanism-based theories and computational methods of crystal plasticity at the micron and submicron scale. Sections cover the fundamental concept of conventional crystal plasticity theory at the macro-scale without size effect, strain gradient crystal plasticity theory based on Taylar law dislocation, mechanism at the mesoscale, phase-field theory of crystal plasticity, computation at the submicron scale, including single crystal plasticity theory, and the discrete-continuous model of crystal plasticity with three-dimensional discrete dislocation dynamics coupling finite element method (DDD-FEM). Three kinds of plastic deformation mechanisms for submicron pillars are systematically presented. Further sections discuss dislocation nucleation and starvation at high strain rate and temperature effect for dislocation annihilation mechanism. - Covers dislocation mechanism-based crystal plasticity theory and computation at the micron and submicron scale - Presents crystal plasticity theory without size effect - Deals with the 3D discrete-continuous (3D DCM) theoretic and computational model of crystal plasticity with 3D discrete dislocation dynamics (3D DDD) coupling finite element method (FEM) - Includes discrete dislocation mechanism-based theory and computation at the submicron scale with single arm source, coating micropillar, lower cyclic loading pillars, and dislocation starvation at the submicron scale
Size Scale Effects In The Failure Mechanisms Of Materials And Structures
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Author : Alberto Carpinteri
language : en
Publisher: CRC Press
Release Date : 2002-11-01
Size Scale Effects In The Failure Mechanisms Of Materials And Structures written by Alberto Carpinteri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Architecture categories.
Invited international contributions to this exciting new research field are included in this volume. It contains the specially selected papers from 45 key specialists given at the Symposium held under the auspices of the prestigious International Union of Theoretical and Applied Mechanics at Turin in October 1994.
Compendium On Gradient Materials
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Author : Albrecht Bertram
language : en
Publisher: Springer Nature
Release Date : 2022-05-28
Compendium On Gradient Materials written by Albrecht Bertram and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-28 with Technology & Engineering categories.
This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and thermomechanics. The first chapter focuses on balance laws and holds for all gradient materials. The next chapters are dedicated to the material modeling of second and third-order materials under finite deformations. Afterwards the scope is limited to the geometrically linear theory, i.e., to small deformations. The next chapter offers an extension of the concept of internal constraints to gradient materials. The final chapter is dedicated to incompressible viscous gradient fluids with the intention to describe, among other applications, turbulent flows, as already suggested by Saint-Venant in the middle of the 19th century.
Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2013-03-14 with Technology & Engineering categories.
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
Continuum Mechanics And Plasticity
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Author : Han-Chin Wu
language : en
Publisher: CRC Press
Release Date : 2004-12-20
Continuum Mechanics And Plasticity written by Han-Chin Wu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-20 with Technology & Engineering categories.
Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting
Continuum Mechanics
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Author : Ellis H. Dill
language : en
Publisher: CRC Press
Release Date : 2006-11-10
Continuum Mechanics written by Ellis H. Dill and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-10 with Science categories.
Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.
Gradient Enhanced Continuum Plasticity
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Author : George Z. Voyiadjis
language : en
Publisher: Elsevier
Release Date : 2020-03-30
Gradient Enhanced Continuum Plasticity written by George Z. Voyiadjis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-30 with Technology & Engineering categories.
Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models.
The Mechanical And Thermodynamical Theory Of Plasticity
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Author : Mehrdad Negahban
language : en
Publisher: CRC Press
Release Date : 2012-04-26
The Mechanical And Thermodynamical Theory Of Plasticity written by Mehrdad Negahban and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.
Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical a