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Size Effects In Plasticity

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Size Effects in Plasticity

Size Effects in Plasticity Book
Author : George Voyiadjis,Mohammadreza Yaghoobi
Publisher : Academic Press
Release : 2019-08-01
ISBN : 0128135131
Language : En, Es, Fr & De

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Book Description :

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

Atomistic Simulation Studies of Size Effects in Plasticity and Dislocation Patterning Book
Author : Neil Scott Weingarten
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Atomistic Simulation Studies of Size Effects in Plasticity and Dislocation Patterning book written by Neil Scott Weingarten, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Strain Gradient Plasticity Based Modeling of Damage and Fracture

Strain Gradient Plasticity Based Modeling of Damage and Fracture Book
Author : Emilio Martínez Pañeda
Publisher : Springer
Release : 2017-08-23
ISBN : 3319633848
Language : En, Es, Fr & De

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Book Description :

This book provides a comprehensive introduction to numerical modeling of size effects in metal plasticity. The main classes of strain gradient plasticity formulations are described and efficiently implemented in the context of the finite element method. A robust numerical framework is presented and employed to investigate the role of strain gradients on structural integrity assessment. The results obtained reveal the need of incorporating the influence on geometrically necessary dislocations in the modeling of various damage mechanisms. Large gradients of plastic strain increase dislocation density, promoting strain hardening and elevating crack tip stresses. This stress elevation is quantified under both infinitesimal and finite deformation theories, rationalizing the experimental observation of cleavage fracture in the presence of significant plastic flow. Gradient-enhanced modeling of crack growth resistance, hydrogen diffusion and environmentally assisted cracking highlighted the relevance of an appropriate characterization of the mechanical response at the small scales involved in crack tip deformation. Particularly promising predictions are attained in the field of hydrogen embrittlement. The research has been conducted at the Universities of Cambridge, Oviedo, Luxembourg, and the Technical University of Denmark, in a collaborative effort to understand, model and optimize the mechanical response of engineering materials.

Mechanics of Strain Gradient Materials

Mechanics of Strain Gradient Materials Book
Author : Albrecht Bertram,Samuel Forest
Publisher : Springer Nature
Release : 2020-06-30
ISBN : 3030438309
Language : En, Es, Fr & De

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Book Description :

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.

Gradient Enhanced Continuum Plasticity

Gradient Enhanced Continuum Plasticity Book
Author : George Z. Voyiadjis,Yooseob Song
Publisher : Elsevier
Release : 2020-04-06
ISBN : 9780128177662
Language : En, Es, Fr & De

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Book Description :

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

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

Formulation and Solution of a Crystal Plasticity Constitutive Model with Slip Gradient Effects Book
Author : Jobie M. Gerken
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Annual Review of Materials Research Book
Author : Anonim
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Annual Review of Materials Research book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Indentation Size Effect

Indentation Size Effect Book
Author : Abdelmageed A. Elmustafa
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Surface Effects in Crystal Plasticity

Surface Effects in Crystal Plasticity Book
Author : R.M. Latanision,J.T. Fourie
Publisher : Springer
Release : 1977-03-31
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Microelectromechanical Systems

Microelectromechanical Systems Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Multiscale Modelling of Materials

Multiscale Modelling of Materials Book
Author : Anonim
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Defects and Diffusion in Metals

Defects and Diffusion in Metals Book
Author : Anonim
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Causes of Morphological Plasticity in Cichlid Fishes

Causes of Morphological Plasticity in Cichlid Fishes Book
Author : Peter Hans Wimberger
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Causes of Morphological Plasticity in Cichlid Fishes book written by Peter Hans Wimberger, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Phenotypic Plasticity of Insects

Phenotypic Plasticity of Insects Book
Author : Douglas Whitman,T. N. Ananthakrishnan
Publisher : CRC Press
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This book explores the profound importance of phenotypic plasticity as a central organizing theme for understanding biology. Chapters take a broad, integrative approach to explain how physical and biological environmental stimuli (temperature, photoperiod, nutrition, population density, predator presence, etc.), influence insect biochemical, physiological, learning, and developmental processes, altering phenotype, which then influences performance, ecology, life-history, survival, fitness, and subsequent evolution. Topics include endocrinology, development, body size, allometry, polyphenism, reproduction, reproductive and life-history tradeoffs, alternative mating and life-history strategies, density-dependent prophylaxis, physiological adaptation, acclimation, homeostasis, heat-shock proteins, learning, adaptive anti-predator behavior, and evolution of phenotypic plasticity.

Acta Mechanica Solida Sinica

Acta Mechanica Solida Sinica Book
Author : Anonim
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Rate Effects in the Constitutive Modeling of Concrete and Geomaterials Including Plasticity and Damage

Rate Effects in the Constitutive Modeling of Concrete and Geomaterials Including Plasticity and Damage Book
Author : Vassilis P. Panoskaltsis
Publisher : Unknown
Release : 1992
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Rate Effects in the Constitutive Modeling of Concrete and Geomaterials Including Plasticity and Damage book written by Vassilis P. Panoskaltsis, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.