# Size Effects in Plasticity

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## Size Effects in Plasticity

Author | : George Voyiadjis,Mohammadreza Yaghoobi |

Publsiher | : Academic Press |

Total Pages | : 408 |

Release | : 2019-08-01 |

ISBN 10 | : 0128135131 |

ISBN 13 | : 9780128135136 |

Language | : EN, FR, DE, ES & NL |

**Size Effects in Plasticity Book Review:**

Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials. Provides a comprehensive reference on the field of size effects and a review of mechanics of materials research in all scales Explains all major methods of size effects simulation, including non-local continuum models, non-local crystal plasticity, discrete dislocation methods and molecular dynamics Includes source codes that readers can use in their own projects

## Atomistic Simulation Studies of Size Effects in Plasticity and Dislocation Patterning

Author | : Neil Scott Weingarten |

Publsiher | : Unknown |

Total Pages | : 294 |

Release | : 2008 |

ISBN 10 | : |

ISBN 13 | : OCLC:233205094 |

Language | : EN, FR, DE, ES & NL |

**Atomistic Simulation Studies of Size Effects in Plasticity and Dislocation Patterning Book Review:**

## Size Effects on Plasticity and Fatigue Microstructure Evolution in Fcc Single Crystals

Author | : Jaafar Abbas El-Awady,Naimisha Mehta |

Publsiher | : Proquest, UMI Dissertation Publishing |

Total Pages | : 150 |

Release | : 2011-09 |

ISBN 10 | : 9781243601766 |

ISBN 13 | : 1243601760 |

Language | : EN, FR, DE, ES & NL |

**Size Effects on Plasticity and Fatigue Microstructure Evolution in Fcc Single Crystals Book Review:**

Enjoy a wide range of dissertations and theses published from graduate schools and universities from around the world. Covering a wide range of academic topics, we are happy to increase overall global access to these works and make them available outside of traditional academic databases. These works are packaged and produced by BiblioLabs under license by ProQuest UMI. The description for these dissertations was produced by BiblioLabs and is in no way affiliated with, in connection with, or representative of the abstract meta-data associated with the dissertations published by ProQuest UMI. If you have any questions relating to this particular dissertation, you may contact BiblioLabs directly.

## Gradient Enhanced Continuum Plasticity

Author | : George Z. Voyiadjis,Yooseob Song |

Publsiher | : Elsevier |

Total Pages | : 404 |

Release | : 2020-03-27 |

ISBN 10 | : 0128177675 |

ISBN 13 | : 9780128177679 |

Language | : EN, FR, DE, ES & NL |

**Gradient Enhanced Continuum Plasticity Book Review:**

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. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity Describes micromechanical aspects from experimental observations

## Size Effects in Dislocation mediated Plasticity in Copper Alloys with Different Microstructural Length scales

Author | : Alexandra Cackett |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2020 |

ISBN 10 | : |

ISBN 13 | : OCLC:1242858413 |

Language | : EN, FR, DE, ES & NL |

**Size Effects in Dislocation mediated Plasticity in Copper Alloys with Different Microstructural Length scales Book Review:**

## Exploring Plasticity and Size Effects in Diamond structured Crystals at Micro scales Using Micromechanics

Author | : Ming Chen |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2019 |

ISBN 10 | : |

ISBN 13 | : OCLC:1182883239 |

Language | : EN, FR, DE, ES & NL |

**Exploring Plasticity and Size Effects in Diamond structured Crystals at Micro scales Using Micromechanics Book Review:**

## Mechanics and Physics of Solids at Micro and Nano Sscales

Author | : Ioan R. Ionescu,Sylvain Queyreau,Catalin R. Picu,Oguz Umut Salman |

Publsiher | : John Wiley & Sons |

Total Pages | : 260 |

Release | : 2020-01-09 |

ISBN 10 | : 1786305313 |

ISBN 13 | : 9781786305312 |

Language | : EN, FR, DE, ES & NL |

**Mechanics and Physics of Solids at Micro and Nano Sscales Book Review:**

Chronicling the 11th US–France Mechanics and physics of solids at macro- and nano-scales symposium, organized by ICACM (International Center for Applied Computational Mechanics) in Paris, June 2018, this book addresses the breadth of issues raised. It covers a comprehensive range of scientific and technological topics (from elementary plastic events in metals and materials in harsh environments to bio-engineered and bio-mimicking materials), offering a representative perspective on state-of-the-art research and materials. Expounding on the issues related to mesoscale modeling, the first part of the book addresses the representation of plastic deformation at both extremes of the scale – between nano- and macro- levels. The second half of the book examines the mechanics and physics of soft materials, polymers and materials made from fibers or molecular networks.

## Mechanics of Strain Gradient Materials

Author | : Albrecht Bertram,Samuel Forest |

Publsiher | : Springer Nature |

Total Pages | : 171 |

Release | : 2020-06-30 |

ISBN 10 | : 3030438309 |

ISBN 13 | : 9783030438302 |

Language | : EN, FR, DE, ES & NL |

**Mechanics of Strain Gradient Materials Book Review:**

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.

## Dislocation Mechanism Based Crystal Plasticity

Author | : Zhuo Zhuang,Zhanli Liu,Yinan Cui |

Publsiher | : Academic Press |

Total Pages | : 450 |

Release | : 2019-04-12 |

ISBN 10 | : 0128145927 |

ISBN 13 | : 9780128145920 |

Language | : EN, FR, DE, ES & NL |

**Dislocation Mechanism Based Crystal Plasticity Book Review:**

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

## IUTAM Symposium on Size Effects on Material and Structural Behavior at Micron and Nano Scales

Author | : Q. P. Sun,P. Tong |

Publsiher | : Springer Science & Business Media |

Total Pages | : 272 |

Release | : 2006-09-19 |

ISBN 10 | : 1402049463 |

ISBN 13 | : 9781402049460 |

Language | : EN, FR, DE, ES & NL |

**IUTAM Symposium on Size Effects on Material and Structural Behavior at Micron and Nano Scales Book Review:**

This volume is a collection of twenty five written contributions by distinguished invited speakers from seven countries to the IUTAM Symposium on Size Effects on Material and Structural Behavior at Micron- and Nano-scales. Size effects on material and structural behaviors are of great interest to physicists, material scientists, and engineers who need to understand and model the mechanical behavior of solids especially at micron- and nano-scales.

## Gradient Enhanced Continuum Plasticity

Author | : George Z. Voyiadjis,Yooseob Song |

Publsiher | : Elsevier |

Total Pages | : 404 |

Release | : 2020-03-27 |

ISBN 10 | : 0128177675 |

ISBN 13 | : 9780128177679 |

Language | : EN, FR, DE, ES & NL |

**Gradient Enhanced Continuum Plasticity Book Review:**

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. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity Describes micromechanical aspects from experimental observations

## The Plasticity of Metals at the Sub micrometer Scale and Dislocation Dynamics in a Thin Film

Author | : Anonim |

Publsiher | : Stanford University |

Total Pages | : 329 |

Release | : 2011 |

ISBN 10 | : |

ISBN 13 | : STANFORD:tf313qt3147 |

Language | : EN, FR, DE, ES & NL |

**The Plasticity of Metals at the Sub micrometer Scale and Dislocation Dynamics in a Thin Film Book Review:**

Nanotechnology has played a significant role in the development of useful engineering devices and in the synthesis of new classes of materials. For the reliable design of devices and for structural applications of materials with micro- or nano-sized features, nanotechnology has always called for an understanding of the mechanical properties of materials at small length scales. Thus, it becomes important to develop new experimental techniques to allow reliable mechanical testing at small scales. At the same time, the development of computational techniques is necessary to interpret the experimentally observed phenomena. Currently, microcompression testing of micropillars, which are fabricated by focused-ion beam (FIB) milling, is one of the most popular experimental methods for measuring the mechanical properties at the micrometer scale. Also, dislocation dynamics codes have been extensively developed to study the local evolution of dislocation structures. Therefore, we conducted both experimental and theoretical studies that shed new light on the factors that control the strength and plasticity of crystalline materials at the sub-micrometer scale. In the experimental work, we produced gold nanopillars by focused-ion beam milling, and conducted microcompression tests to obtain the stress-strain curves. Firstly, the size effects on the strength of gold nanopillars were studied, and "Smaller is Stronger" was observed. Secondly, we tried to change the dislocation densities to control the strength of gold nanopillars by prestraining and annealing. The results showed that prestraining dramatically reduces the flow strength of nanopillars while annealing restores the strength to the pristine levels. Transmission electron microscopy (TEM) revealed that the high dislocation density (~1015 m-2) of prestrained nanopillars significantly decreased after heavy plastic deformation. In order to interpret this TEM observation, potential dislocation source structures were geometrically analyzed. We found that the insertion of jogged dislocations before relaxation or enabling cross-slip during plastic flow are prerequisites for the formation of potentially strong natural pinning points and single arm dislocation sources. At the sub-micron scale, these conditions are most likely absent, and we argue that mobile dislocation starvation would occur naturally in the course of plastic flow. Two more outstanding issues have also been studied in this dissertation. The first involves the effects of FIB milling on the mechanical properties. Since micropillars are made by FIB milling, the damage layer at the free surface is always formed and would be expected to affect the mechanical properties at a sub-micron scale. Thus, pristine gold microparticles were produced by a solid-state dewetting technique, and the effects of FIB milling on both pristine and prestrained microparticles were examined via microcompression testing. These experiments revealed that FIB milling significantly reduces the strength of pristine microparticles, but does not alter that of prestrained microparticles. Thus, we confirmed that if there are pre-existing mobile-dislocations present in the crystal, FIB milling does not affect the mechanical properties. The second issue is the scaling law commonly used to describe the strength of micropillars as a function of sample size. For the scaling law, the power-law approximation has been widely used without understanding fundamental physics in it. Thus, we tried to analyze the power-law approximation in a quantitative manner with the well-known single arm source model. Material parameters, such as the friction stress, the anisotropic shear modulus, the magnitude of Burgers vector and the dislocation density, were explored to understand their effects on the scaling behavior. Considering these effects allows one to rationalize the observed material-dependent power-law exponents quantitatively. In another part of the dissertation, a

## Plasticity

Author | : S. Nemat-Nasser |

Publsiher | : Cambridge University Press |

Total Pages | : 730 |

Release | : 2004-11-29 |

ISBN 10 | : 9780521839792 |

ISBN 13 | : 0521839793 |

Language | : EN, FR, DE, ES & NL |

**Plasticity Book Review:**

Publisher Description

## Formulation and Solution of a Crystal Plasticity Constitutive Model with Slip Gradient Effects

Author | : Jobie M. Gerken |

Publsiher | : Unknown |

Total Pages | : 306 |

Release | : 2007 |

ISBN 10 | : |

ISBN 13 | : CORNELL:31924095873026 |

Language | : EN, FR, DE, ES & NL |

**Formulation and Solution of a Crystal Plasticity Constitutive Model with Slip Gradient Effects Book Review:**

A constitutive model, finite element solution, and simulation results are presented for a crystal plasticity model that includes the stress and strain effects due to a continuous distribution of geometrically necessary dislocations. These dislocations are a result of inhomogeneous plastic slip and are known to affect material behavior when plasticity gradients become large. The foundation of the constitutive model is a three term multiplicative decomposition of the deformation gradient in which the two classical terms of plastic and elastic deformation are included along with an additional term for long range strain due to the collective effects of geometrically necessary dislocations. The long range strain is derived by assuming a bilinear variation in net density of Volterra edge dislocations over a region about a continuum point and then summing the strain contributions from each point in the region. The resulting long range strain is a function of a length parameter, elastic constants, and second gradients of the slip. The constitutive relationship for crystallographic slip is modified to incorporate geometrically necessary dislocations by including the first gradient of slip as an additive term in the total hardness. Postulating the stress as a function of the elastic and long range deformation and the slip as a function of the elastic deformation, the constitutive model for slip then includes a backstress proportional to the long range strain. A finite element solution to the constitutive model starts by converting the second order differential equation describing the material behavior into a weak form that includes boundary conditions for the stress and gradients of slip rate for each slip system. Using this weak form, an incremental finite element method is developed to solve the constitutive model within a finite element solution to the equilibrium equation. Results are presented for tension then compression of a tapered tensile specimen, variable compression of a plate, and cyclic bending of a thin foil. The results show kinematic and isotropic type material yielding behavior that is a result of the inclusion of the effects of geometrically necessary dislocations.

## Annual Review of Materials Research

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2010 |

ISBN 10 | : |

ISBN 13 | : UOM:39076002886534 |

Language | : EN, FR, DE, ES & NL |

**Annual Review of Materials Research Book Review:**

## Indentation Size Effect

Author | : Abdelmageed A. Elmustafa |

Publsiher | : Unknown |

Total Pages | : 290 |

Release | : 1999 |

ISBN 10 | : |

ISBN 13 | : WISC:89065102618 |

Language | : EN, FR, DE, ES & NL |

**Indentation Size Effect Book Review:**

## Microelectromechanical Systems

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2004 |

ISBN 10 | : |

ISBN 13 | : UOM:39015058744395 |

Language | : EN, FR, DE, ES & NL |

**Microelectromechanical Systems Book Review:**

## Surface Effects in Crystal Plasticity

Author | : R.M. Latanision,J.T. Fourie |

Publsiher | : Springer |

Total Pages | : 944 |

Release | : 1977-03-31 |

ISBN 10 | : |

ISBN 13 | : UOM:39015016025549 |

Language | : EN, FR, DE, ES & NL |

**Surface Effects in Crystal Plasticity Book Review:**

John Keats, writing to Fanny Brawne [1], said "I long to believe in immortality ••••• I wish to believe in immortality - I wish to live with you forever". So much of this talk will be concerned with the ductile behaviour of crystals, plasticity in its narrower sense. We shall consider a crystal which is deforming by slip, and shall expose a surface in this crystal. We first think of the sur face as a simple mathematical cut along a low-index plane. Then we allow for the relaxation of the newly-exposed atoms, and for surface irregularities, and we consider the effect of lattice va cancies which can enter at the surface. We consider the effect of dissolving off the surface layers, either intermittently or contin uously. Then the effects of adsorption or oxidation by normal con stituents of the atmosphere must be considered, the effects of sur face alloying, and finally those of special surface-active agents. But "All/Life death does end and each day dies with sleep" [2], and plasticity in its broader sense includes the fracture ~'1hich term inates flow. Here there is a bewildering array of effects. The medium in which the crystal flows may enhance its ductility enor mously, or it may cause it to break almost without plastic deform ation, or under a load which it has already supported.

## Multiscale Modelling of Materials

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2000 |

ISBN 10 | : |

ISBN 13 | : UOM:39015049130613 |

Language | : EN, FR, DE, ES & NL |

**Multiscale Modelling of Materials Book Review:**

## Defects and Diffusion in Metals

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2007 |

ISBN 10 | : |

ISBN 13 | : UOM:39015039857928 |

Language | : EN, FR, DE, ES & NL |

**Defects and Diffusion in Metals Book Review:**