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Book
Crystal Plasticity at Micro- and Nano-scale Dimensions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

The present collection of articles focuses on the mechanical strength properties at micro- and nanoscale dimensions of body-centered cubic, face-centered cubic and hexagonal close-packed crystal structures. The advent of micro-pillar test specimens is shown to provide a new dimensional scale for the investigation of crystal deformation properties. The ultra-small dimensional scale at which these properties are measured is shown to approach the atomic-scale level at which model dislocation mechanics descriptions of crystal slip and deformation twinning behaviors are proposed to be operative, including the achievement of atomic force microscopic measurements of dislocation pile-up interactions with crystal grain boundaries or with hard surface coatings. A special advantage of engineering designs made at such small crystal and polycrystalline dimensions is the achievement of an approximate order-of-magnitude increase in mechanical strength levels. Reasonable extrapolation of macro-scale continuum mechanics descriptions of crystal strength properties at micro- to nano-indentation hardness measurements are demonstrated, in addition to reports on persistent slip band observations and fatigue cracking behaviors. High-entropy alloy, superalloy and energetic crystal properties are reported along with descriptions of deformation rate sensitivities, grain boundary structures, nano-cutting, void nucleation/growth micromechanics and micro-composite electrical properties.

Keywords

Technology: general issues --- crystal strength --- micro-crystals --- nano-crystals --- nano-polycrystals --- nano-wires --- whiskers --- pillars --- dislocations --- hardness --- crystal size dependencies --- fracture --- strain rate sensitivity --- temperature effect --- indentation size effect --- theoretical model --- nano-indentation --- crack growth --- dislocation models --- pile-ups --- kitagawa-takahashi diagram --- fracture mechanics --- internal stresses --- molecular dynamics simulations --- BCC Fe nanowires --- twin boundaries --- de-twinning --- micromechanical testing --- micro-pillar --- bi-crystal --- discrete dislocation pile-up --- grain boundary --- free surface --- anisotropic elasticity --- crystallographic slip --- molecular dynamics --- nanocutting --- iron --- cutting theory --- ab initio calculations --- hydrogen embrittlement --- cohesive strength --- multiaxial loading --- strain rate --- molecular dynamics simulation --- activation volume --- grain growth --- indentation creep --- size effect --- geometrically necessary dislocations --- FeCrAl --- micropillar --- dislocation --- strain hardening --- crystal plasticity simulations --- persistent slip band --- surface hard coating --- fatigue crack initiation --- fatigue --- cyclic deformation --- internal stress --- copper single crystal --- rafting behavior --- phase-field simulation --- crystal plasticity theory --- mechanical property --- ultrafine-grained materials --- intermetallic compounds --- B2 phase --- strain hardening behavior --- synchrotron radiation X-ray diffraction --- HMX --- elastic properties --- linear complexions --- strength --- lattice distortive transformations --- dislocation emission --- grain boundaries --- nanomaterials --- Hall-Petch relation --- metals and alloys --- interfacial delamination --- nucleation --- void formation --- cracking --- alloys --- nanocrystalline --- thermal stability --- IN718 alloy --- dislocation plasticity --- twinning --- miniaturised testing --- in situ electron microscopy --- magnesium --- anode --- tin sulfide --- lithium ion battery --- conversion reaction --- nanoflower --- rapid solidification --- compression --- crystal strength --- micro-crystals --- nano-crystals --- nano-polycrystals --- nano-wires --- whiskers --- pillars --- dislocations --- hardness --- crystal size dependencies --- fracture --- strain rate sensitivity --- temperature effect --- indentation size effect --- theoretical model --- nano-indentation --- crack growth --- dislocation models --- pile-ups --- kitagawa-takahashi diagram --- fracture mechanics --- internal stresses --- molecular dynamics simulations --- BCC Fe nanowires --- twin boundaries --- de-twinning --- micromechanical testing --- micro-pillar --- bi-crystal --- discrete dislocation pile-up --- grain boundary --- free surface --- anisotropic elasticity --- crystallographic slip --- molecular dynamics --- nanocutting --- iron --- cutting theory --- ab initio calculations --- hydrogen embrittlement --- cohesive strength --- multiaxial loading --- strain rate --- molecular dynamics simulation --- activation volume --- grain growth --- indentation creep --- size effect --- geometrically necessary dislocations --- FeCrAl --- micropillar --- dislocation --- strain hardening --- crystal plasticity simulations --- persistent slip band --- surface hard coating --- fatigue crack initiation --- fatigue --- cyclic deformation --- internal stress --- copper single crystal --- rafting behavior --- phase-field simulation --- crystal plasticity theory --- mechanical property --- ultrafine-grained materials --- intermetallic compounds --- B2 phase --- strain hardening behavior --- synchrotron radiation X-ray diffraction --- HMX --- elastic properties --- linear complexions --- strength --- lattice distortive transformations --- dislocation emission --- grain boundaries --- nanomaterials --- Hall-Petch relation --- metals and alloys --- interfacial delamination --- nucleation --- void formation --- cracking --- alloys --- nanocrystalline --- thermal stability --- IN718 alloy --- dislocation plasticity --- twinning --- miniaturised testing --- in situ electron microscopy --- magnesium --- anode --- tin sulfide --- lithium ion battery --- conversion reaction --- nanoflower --- rapid solidification --- compression


Book
Mathematical methods in elasticity imaging
Authors: --- --- --- ---
ISBN: 1400866626 Year: 2015 Publisher: Princeton, NJ : Princeton University Press,

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Abstract

This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative-based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.

Keywords

Elasticity --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Mathematics. --- Properties --- Dirichlet function. --- Helmholtz decomposition theorem. --- Helmholtz decomposition. --- HelmholtzЋirchhoff identities. --- Kelvin matrix. --- Kirchhoff migration. --- Lam system. --- MUSIC algorithm. --- Neumann boundary condition. --- anisotropic elasticity. --- asymptotic expansion. --- asymptotic formula. --- asymptotic imaging. --- ball. --- boundary displacement. --- boundary perturbation. --- boundary value problem. --- boundedness. --- cellular structure. --- compressional modulus. --- crack. --- density parameter. --- direct imaging. --- discrepancy function. --- displacement field. --- displacement. --- elastic coefficient. --- elastic equation. --- elastic inclusion. --- elastic moment tensor. --- elastic structure. --- elastic wave equation. --- elastic wave propagation. --- elastic wave. --- elasticity equation. --- elasticity imaging. --- elasticity. --- ellipse. --- energy functional. --- extended inclusion. --- extended source term. --- extended target. --- far-field measurement. --- filtered quadratic misfit. --- function space. --- gradient scheme. --- hard inclusion. --- hard inclusions. --- heterogeneous shear distribution. --- high contrast coefficient. --- hole. --- imaging functional. --- inclusion. --- incompressible limit. --- internal displacement measurement. --- layer potential. --- linear elasticity. --- linear transformation. --- linearized reconstruction problem. --- measurement noise. --- medium noise. --- nanoparticle. --- nonlinear optimization problem. --- nonlinear problem. --- operator-valued function. --- optimal control. --- potential energy functional. --- pressure. --- radiation condition. --- random fluctuation. --- resolution. --- reverse-time migration. --- scalar wave equation. --- search algorithm. --- shape change. --- shape deformation. --- shape. --- shear distribution. --- shear modulus. --- shear wave. --- small crack. --- small inclusion. --- small-volume expansion. --- small-volume inclusion. --- soft inclusion. --- stability analysis. --- stability. --- static regime. --- stochastic modeling. --- time-harmonic regime. --- time-reversal imaging. --- topological derivative. --- vibration testing.


Book
Crystal Plasticity at Micro- and Nano-scale Dimensions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

The present collection of articles focuses on the mechanical strength properties at micro- and nanoscale dimensions of body-centered cubic, face-centered cubic and hexagonal close-packed crystal structures. The advent of micro-pillar test specimens is shown to provide a new dimensional scale for the investigation of crystal deformation properties. The ultra-small dimensional scale at which these properties are measured is shown to approach the atomic-scale level at which model dislocation mechanics descriptions of crystal slip and deformation twinning behaviors are proposed to be operative, including the achievement of atomic force microscopic measurements of dislocation pile-up interactions with crystal grain boundaries or with hard surface coatings. A special advantage of engineering designs made at such small crystal and polycrystalline dimensions is the achievement of an approximate order-of-magnitude increase in mechanical strength levels. Reasonable extrapolation of macro-scale continuum mechanics descriptions of crystal strength properties at micro- to nano-indentation hardness measurements are demonstrated, in addition to reports on persistent slip band observations and fatigue cracking behaviors. High-entropy alloy, superalloy and energetic crystal properties are reported along with descriptions of deformation rate sensitivities, grain boundary structures, nano-cutting, void nucleation/growth micromechanics and micro-composite electrical properties.

Keywords

Technology: general issues --- crystal strength --- micro-crystals --- nano-crystals --- nano-polycrystals --- nano-wires --- whiskers --- pillars --- dislocations --- hardness --- crystal size dependencies --- fracture --- strain rate sensitivity --- temperature effect --- indentation size effect --- theoretical model --- nano-indentation --- crack growth --- dislocation models --- pile-ups --- kitagawa-takahashi diagram --- fracture mechanics --- internal stresses --- molecular dynamics simulations --- BCC Fe nanowires --- twin boundaries --- de-twinning --- micromechanical testing --- micro-pillar --- bi-crystal --- discrete dislocation pile-up --- grain boundary --- free surface --- anisotropic elasticity --- crystallographic slip --- molecular dynamics --- nanocutting --- iron --- cutting theory --- ab initio calculations --- hydrogen embrittlement --- cohesive strength --- multiaxial loading --- strain rate --- molecular dynamics simulation --- activation volume --- grain growth --- indentation creep --- size effect --- geometrically necessary dislocations --- FeCrAl --- micropillar --- dislocation --- strain hardening --- crystal plasticity simulations --- persistent slip band --- surface hard coating --- fatigue crack initiation --- fatigue --- cyclic deformation --- internal stress --- copper single crystal --- rafting behavior --- phase-field simulation --- crystal plasticity theory --- mechanical property --- ultrafine-grained materials --- intermetallic compounds --- B2 phase --- strain hardening behavior --- synchrotron radiation X-ray diffraction --- HMX --- elastic properties --- linear complexions --- strength --- lattice distortive transformations --- dislocation emission --- grain boundaries --- nanomaterials --- Hall-Petch relation --- metals and alloys --- interfacial delamination --- nucleation --- void formation --- cracking --- alloys --- nanocrystalline --- thermal stability --- IN718 alloy --- dislocation plasticity --- twinning --- miniaturised testing --- in situ electron microscopy --- magnesium --- anode --- tin sulfide --- lithium ion battery --- conversion reaction --- nanoflower --- rapid solidification --- compression


Book
Crystal Plasticity at Micro- and Nano-scale Dimensions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

The present collection of articles focuses on the mechanical strength properties at micro- and nanoscale dimensions of body-centered cubic, face-centered cubic and hexagonal close-packed crystal structures. The advent of micro-pillar test specimens is shown to provide a new dimensional scale for the investigation of crystal deformation properties. The ultra-small dimensional scale at which these properties are measured is shown to approach the atomic-scale level at which model dislocation mechanics descriptions of crystal slip and deformation twinning behaviors are proposed to be operative, including the achievement of atomic force microscopic measurements of dislocation pile-up interactions with crystal grain boundaries or with hard surface coatings. A special advantage of engineering designs made at such small crystal and polycrystalline dimensions is the achievement of an approximate order-of-magnitude increase in mechanical strength levels. Reasonable extrapolation of macro-scale continuum mechanics descriptions of crystal strength properties at micro- to nano-indentation hardness measurements are demonstrated, in addition to reports on persistent slip band observations and fatigue cracking behaviors. High-entropy alloy, superalloy and energetic crystal properties are reported along with descriptions of deformation rate sensitivities, grain boundary structures, nano-cutting, void nucleation/growth micromechanics and micro-composite electrical properties.

Keywords

crystal strength --- micro-crystals --- nano-crystals --- nano-polycrystals --- nano-wires --- whiskers --- pillars --- dislocations --- hardness --- crystal size dependencies --- fracture --- strain rate sensitivity --- temperature effect --- indentation size effect --- theoretical model --- nano-indentation --- crack growth --- dislocation models --- pile-ups --- kitagawa-takahashi diagram --- fracture mechanics --- internal stresses --- molecular dynamics simulations --- BCC Fe nanowires --- twin boundaries --- de-twinning --- micromechanical testing --- micro-pillar --- bi-crystal --- discrete dislocation pile-up --- grain boundary --- free surface --- anisotropic elasticity --- crystallographic slip --- molecular dynamics --- nanocutting --- iron --- cutting theory --- ab initio calculations --- hydrogen embrittlement --- cohesive strength --- multiaxial loading --- strain rate --- molecular dynamics simulation --- activation volume --- grain growth --- indentation creep --- size effect --- geometrically necessary dislocations --- FeCrAl --- micropillar --- dislocation --- strain hardening --- crystal plasticity simulations --- persistent slip band --- surface hard coating --- fatigue crack initiation --- fatigue --- cyclic deformation --- internal stress --- copper single crystal --- rafting behavior --- phase-field simulation --- crystal plasticity theory --- mechanical property --- ultrafine-grained materials --- intermetallic compounds --- B2 phase --- strain hardening behavior --- synchrotron radiation X-ray diffraction --- HMX --- elastic properties --- linear complexions --- strength --- lattice distortive transformations --- dislocation emission --- grain boundaries --- nanomaterials --- Hall-Petch relation --- metals and alloys --- interfacial delamination --- nucleation --- void formation --- cracking --- alloys --- nanocrystalline --- thermal stability --- IN718 alloy --- dislocation plasticity --- twinning --- miniaturised testing --- in situ electron microscopy --- magnesium --- anode --- tin sulfide --- lithium ion battery --- conversion reaction --- nanoflower --- rapid solidification --- compression

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