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theoretical models
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Image
Published: 01 January 2005
Fig. 17 Results from theoretic modeling on protection distance (PD) and galvanic current as a function of surface activity of zinc. The length of the arrows in the figure illustrates qualitatively the possible variation of surface activity of these different materials that may be involved
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Image
in X-Ray Diffraction Residual Stress Measurement in Failure Analysis
> Failure Analysis and Prevention
Published: 01 January 2002
Fig. 21 Theoretical model versus XRD-generated experimental data plots of residual stress versus number of cycles. Source: Ref 43
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in X-Ray Diffraction Residual-Stress Measurement in Failure Analysis
> Failure Analysis and Prevention
Published: 15 January 2021
Fig. 21 Theoretical model versus x-ray-diffraction-generated experimental data plots of residual stress versus number of cycles. Source: Ref 53
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Published: 01 February 2024
Fig. 3 Schematic of geometry used to develop the volumetric flux theoretical model. Source: Ref 7
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Published: 01 January 1989
Fig. 6(a) Theoretical surfaces produced in models of face milling with a sharp-nose milling tool (Type A), a round tool (Type B), and a round-nose tool (Type C). Source: Ref 5
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Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005637
EISBN: 978-1-62708-174-0
... during FSW. The types of defects, processing parameters affecting the generation of these defects, and results of theoretical models and simulations to understand the formation and control of defects during FSW are discussed. The article concludes with information on the microstructure and its...
Abstract
Friction stir welding (FSW) involves plastic deformation at high strain rates and elevated temperatures with resultant microstructural changes leading to joining. This article provides a link between deformation and FSW process parameters and summarizes the results of experimental temperature measurements during FSW of various metals. It considers the physical explanation of the heat input during FSW and the possible methods of their estimation. The article presents the experimental results of two analytical models, supplemented by experimental/numerical flow models on material flow during FSW. The types of defects, processing parameters affecting the generation of these defects, and results of theoretical models and simulations to understand the formation and control of defects during FSW are discussed. The article concludes with information on the microstructure and its distribution produced during FSW.
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005581
EISBN: 978-1-62708-174-0
... Abstract Plastic deformation of one or both metals is required to obtain bonding in cold welding. This article presents a theoretical model, to explain the bond strength, based on metallographic studies and continuum mechanical analysis of the local plastic deformation in the weld interface...
Abstract
Plastic deformation of one or both metals is required to obtain bonding in cold welding. This article presents a theoretical model, to explain the bond strength, based on metallographic studies and continuum mechanical analysis of the local plastic deformation in the weld interface. It describes the bonding mechanisms, with illustrations. The article discusses the alternative methods of surface preparation and quality control of the weld interface of a cold weld. It concludes with a description of a variety of metal-forming processes suitable for production of cold welds, namely, rolling, indentation, butt welding, extrusion, and shear welding.
Image
Published: 31 August 2017
Fig. 10 True stress-strain curves for gray iron with coarse and fine flake graphite and different carbon equivalents (CE). Experimental data are compared to theoretical models of stress-strain behavior. (a) CE = 3.23 wt%. (b) CE = 3.55 wt%. (c) CE = 3.72 wt%. (d) CE = 4.32 wt%. Source: Ref 18
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Book: Powder Metallurgy
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006117
EISBN: 978-1-62708-175-7
... diameter was commonly used in early sintering studies for comparison with the predictions of theoretical models, but it is difficult or time-consuming to measure in practical systems. In research and development studies, the grain size should also be measured as a function of time or temperature...
Abstract
Sintering is a thermal treatment process in which a powder or a porous material, already formed into the required shape, is converted into a useful article with the requisite microstructure. Sintering can be classified as solid-state, viscous, liquid-phase, and pressure-assisted (or pressure) sintering. This article provides information on the mechanisms and theoretical analysis of sintering and focuses on the types, mechanisms, process and microstructural variables, computer simulation, stages, and fundamentals of densification and grain growth of solid-state sintering and liquid-phase sintering. It describes the models for viscous sintering and the methods used in pressure-assisted sintering, namely, uniaxial hot pressing, hot isostatic pressing, sinter forging, and spark plasma sintering.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002489
EISBN: 978-1-62708-194-8
... Abstract This article presents an overview of the techniques used in the design for heat treatment and discusses the primary criteria for design: minimization of distortion and undesirable residual stresses. It provides theoretical and empirical guidelines to understand the sources of common...
Abstract
This article presents an overview of the techniques used in the design for heat treatment and discusses the primary criteria for design: minimization of distortion and undesirable residual stresses. It provides theoretical and empirical guidelines to understand the sources of common heat treat defects. A simple example is presented to demonstrate how thermal and phase-transformation-induced strains cause dimensional changes and residual stresses. The article concludes with a discussion on the heat treatment process modeling technology.
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005789
EISBN: 978-1-62708-165-8
... the laboratory tests and characterization of industrial quenching processes. It reviews the importance of initial heat-flux density and first critical heat-flux density. The theoretical principle behind and the purpose of the temperature gradient method are discussed. The article provides information...
Abstract
This article provides a discussion on probes for laboratory tests and resultant curves of industrial quenching processes. It describes the scope of the tests, and the calculation of heat-transfer coefficient (HTC) based on the tests. The article highlights the differences between the laboratory tests and characterization of industrial quenching processes. It reviews the importance of initial heat-flux density and first critical heat-flux density. The theoretical principle behind and the purpose of the temperature gradient method are discussed. The article provides information on the design of the probe, heat-extraction dynamics, and influence of wetting kinematics. It also includes discussions on the simplified 1-D temperature-distribution model, calculation of the HTC, and the finite-volume method for the heat-conduction equation.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001348
EISBN: 978-1-62708-173-3
... the surface oxide. Their work is supported by the work of Bay. ( Ref 54 ), who developed a theoretical model for oxide breakage and bond formation on aluminum. Kawakatsu and Kitayama ( Ref 53 ) describe bonding as being controlled by three metallurgical factors, which have been identified as bonds between...
Abstract
This article reviews quantifying adhesion, bonding, and interfacial characterization and strength in a solid-state welding process. It discusses metal-metal configurations and provides information on experimental work carried out in measuring the mechanical properties of interfaces based on theoretical analysis. A discussion on the properties affecting adhesion is also provided.
Book Chapter
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005606
EISBN: 978-1-62708-174-0
... with Surface Energy and Pressure Effects as Driving Force , J. Appl. Phys. , Vol 41.12 , 1970 , p 4798 – 4807 10.1063/1.1658543 • Derby B. and Wallach E.R. , Theoretical Model for Diffusion Bonding , Met. Sci. , Vol 16 , Jan 1982 , p 49 – 56 10.1179/030634582790427028...
Abstract
This article provides a qualitative summary of the theory of diffusion bonding, as distinguished from the mechanisms of other solid-state welding processes. Diffusion bonding can be achieved for materials with adherent surface oxides, but the resultant interface strengths of these materials are considerably less than that measured for the parent material. The article describes three stages of diffusion bonding: microasperity deformation, diffusion-controlled mass transport, and interface migration. It concludes with information on diffusion bonding with interface aids.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001350
EISBN: 978-1-62708-173-3
... for Hot Pressing with Surface Energy and Pressure Effects as Driving Force , J. Appl. Phys. , Vol 41.12 , 1970 , p 4798 – 4807 • Derby B. and Wallach E.R. , Theoretical Model for Diffusion Bonding , Met. Sci. , Vol 16 , Jan 1982 , p 49 – 56 • Derby B. and Wallach...
Abstract
Diffusion bonding is only one of many solid-state joining processes wherein joining is accomplished without the need for a liquid interface (brazing) or the creation of a cast product via melting and resolidification. This article offers a qualitative summary of the theory of diffusion bonding. It discusses factors that affect the relative difficulty of diffusion bonding oxide-bearing surfaces. These include surface roughness prior to welding, mechanical properties of the oxide, relative hardness of the metal and its oxide film, and prestraining or work hardening of the material. The article describes the mechanism of diffusion bonding in terms of microasperity deformation, diffusion-controlled mass transport, and interface migration. It concludes with a discussion on diffusion bonding with interface aids.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005210
EISBN: 978-1-62708-187-0
... of the material. Theoretical models of microstructure formation in a casting are thus directed toward quantitatively understanding how the processing conditions, alloy composition, and thermophysical properties control the magnitudes of these spacings and of the tip temperature or tip composition. First...
Abstract
Nonplanar microstructures form most frequently during the solidification of alloys, and play a crucial role in governing the properties of the solidified material. This article emphasizes the basic ideas, characteristic lengths, and the processing conditions required to control the columnar and equiaxed microstructures. The formation of cellular and dendritic structures in one- and two-phase structures is presented with emphasis on the effect of processing conditions and composition on the selection of microstructure and microstructure scales.
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in Electromagnetic Acoustic Transducers for Nondestructive Evaluation
> Nondestructive Evaluation of Materials
Published: 01 August 2018
(MS) properties, and the dotted line is a theoretical prediction based on a first-principles model for grain rotation contributions to MS. At a bias magnetic field above approximately 3 kOe = 0.3 Tesla, the Lorentz force elastic coupling mechanism dominates. Note that MS coupling peaks
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Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009004
EISBN: 978-1-62708-185-6
.... bulk forming process mechanical plasticity strain state stress state theoretical fracture criteria theoretical fracture models workability theory WORKABILITY, as described in previous articles, is not merely a property of a material but a characteristic of the material/process system...
Abstract
This article focuses on the effects of mechanical plasticity on workability; that is, process control of localized stress and strain conditions to enhance workability. It describes the nature of local stress and strain states in bulk forming processes, leading to a classification scheme, including testing procedures and specific process measurements, that facilitate the application of workability concepts. Using examples, the article applies these concepts to forging, rolling, and extrusion processes. The stress and strain environments described in the article suggest that a workability test should be capable of subjecting the material to a variety of surface strain combinations. By providing insights on fracture criteria, these tests can be used as tools for troubleshooting fracture problems in existing processes, as well as in the process development for new product designs.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002474
EISBN: 978-1-62708-194-8
... mechanisms involved and, consequently, on the tribosystem. These relationships can be linear or nonlinear. For example, in the case of adhesive wear, simple theoretical models indicate that wear volume is proportional to load. On the other hand, models used to describe fatigue wear typically indicate...
Abstract
Wear is the damage to a solid surface as a result of relative motion between it and another surface or substance. This article discusses the four general ways by which a material can wear, namely, adhesive wear, abrasive wear, fatigue or fatigue-like wear, and corrosive wear. It tabulates the operational classification of wear situations and describes the relationship between wear or wear rate and design parameters. The article reviews the effect of lubrication on wear behavior and the types of lubricants. It illustrates some fundamental criteria that can be applied in the selection of a material for wear applications. The article explains four elements of wear design, such as system analysis, modeling, data gathering, and verification. It concludes with a discussion on the design approach for low-wear computer peripherals.
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003632
EISBN: 978-1-62708-182-5
... Abstract This article discusses the fundamental aspects of environmentally induced cracking. It provides a theoretical basis for the evaluation, testing, and methods of protection against the cracking. The article describes the mechanisms of corrosion that produce cracking of metals...
Abstract
This article discusses the fundamental aspects of environmentally induced cracking. It provides a theoretical basis for the evaluation, testing, and methods of protection against the cracking. The article describes the mechanisms of corrosion that produce cracking of metals and intermetallic compounds as a result of exposure to their environment.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006314
EISBN: 978-1-62708-179-5
... predictive capabilities are continually enhanced by theoretical developments in solidification modeling, numerical methods, and the increase of computing power. A first computer model for solidification of cast iron was published in 1966 by Oldfield ( Ref 1 ), who used an innovative approach on treating...
Abstract
The microstructure that develops during the solidification stage of cast iron largely influences the subsequent solid-state transformations and mechanical properties of the cast components. This article provides a brief introduction of methods that can be used for simulating the solidification microstructure of cast iron. Analytical as well as numerical models describing solidification phenomena at both macroscopic and microscopic scales are presented. The article introduces macroscopic transport equations and presents analytical microscopic models for solidification. These models include the dendrite growth models and the cooperative eutectic growth models. The article provides some solutions using numerical models to simulate the kinetics of microstructure formation in cast iron. It concludes with a discussion on cellular automaton (CA) technique that can handle complex topology changes and reproduce most of the solidification microstructure features observed experimentally.
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