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interfacial energy
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Image
Published: 01 December 2008
Fig. 7 The interfacial energy, σ, relationships among a planar nucleant substrate (n), a spherical sector solid (S), and the liquid (L). The interfacial regions are designated by the subscripts LS (liquid-solid), nL (nucleant-liquid), and nS (nucleant-solid).
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Published: 01 January 1993
Fig. 3 Effect of interfacial energies on sessile drops. (a) No wetting takes place when contact angle is > 90°. (b) Wetting occurs when contact angle is < 90°.
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Image
Published: 01 January 2001
Fig. 32 Strain energy release rate coefficients, C ε , for interfacial cracking in the 90°/90° and the–25°/ 90° interfaces of the [±25°/90°] s laminate
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Published: 01 January 2001
Fig. 33 Strain energy release rate coefficients, C T , for interfacial cracking in the 90°/90° and the–25°/ 90° interfaces of the [±25°/90°] s laminate
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Image
Published: 01 November 1995
Fig. 1 Sessile drop configurations: (top) wetting, and (bottom) nonwetting. γ sv and γ lv , surface tensions and surface free energies of the solid-vapor and liquid-vapor, respectively. γ sl , interfacial energy of the solid-liquid. −dG R /dA · dt, free energy of reaction
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Published: 01 November 2010
. The boundary energies were determined with reference to isotropic Cu-SiO 2 interfacial energy by measuring the misorientation-dependent shape of the SiO 2 particles in the boundary.
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in Modeling and Simulation of Microstructure Evolution during Heat Treatment of Titanium Alloys
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 32 Phase field simulation prediction obtained using CALPHAD free-energy models in the Pandat database, mobility database, an interfacial energy of 100 mJ/m 2 , and isothermal aging at 700 °C (1290 °F) with four different molybdenum concentrations, (a) to (d) composition profile; (e) to (h
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Published: 01 November 2010
measured by optical microscopy. The absolute values for the boundary energy were estimated assuming a solid-liquid interfacial energy of 200 mJ/m 2 that was estimated from the slope of the γ-ω plot according to the Read-Shockley equation. Source: Ref 27
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Published: 01 December 2004
Fig. 41 Peritectic envelope in a Bi-40Au alloy that was cooled to 450 °C (840 °F) and held 5 h, then cooled to 300 °C (570 °F) and held 2 h (peritectic temperature: 373 °C, or 703 °F). The morphology is entirely determined by the anisotropy of the interfacial energy of the face-centered cubic
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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
... based on theoretical analysis. A discussion on the properties affecting adhesion is also provided. adhesion adhesion energy bonding grain boundary energy interfacial characterization interfacial energy mechanical properties metal adhesion metal-to-ceramic adhesion solid-state welding...
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: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005169
EISBN: 978-1-62708-186-3
... csf coef cient; ow-softening programming relative portion of power D Sn static recrystallization consumed by shear or D rate; interfacial energy Saybolt universal second redundant work Sn(GB) weight percent DQ shear strain rate (measure of viscosity) Sn(IPD) austenite interfacial area; total d shear...
Book Chapter
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003280
EISBN: 978-1-62708-176-4
... liquid films ( Ref 15 , 16 ), and the friction between two molecularly smooth solids ( Ref 17 ). Thermodynamic Adhesion Thermodynamic adhesion refers to the change in free energy when an interface is formed or separated. This concept of adhesion is defined in terms of surface energy, interfacial...
Abstract
This article describes measurement techniques for the three basic types of adhesion: fundamental adhesion, thermodynamic adhesion, and practical adhesion. It discusses common measurement methods for each type of adhesion with the main focus on practical adhesion testing of coatings and thin films. The article provides an insight into the mechanisms of environmentally induced interfacial degradation by discussing the fundamental aspects of adhesion between two dissimilar materials. It examines the use of adhesion tests in the evaluation of stress-corrosion cracking within bimaterial interfaces. Testing techniques for <i>in situ</i> environmental testing of thin-film adhesion are also reviewed.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005438
EISBN: 978-1-62708-196-2
..., and a key PrecipiCalc model parameter is matrix/precipitate interfacial energy. To decouple the interaction of these model parameters, an attempt was made to develop a robust calibration protocol ( Ref 12 ). In the procedure, the underlying thermodynamics and mobility databases were selected based...
Abstract
This article provides guidelines for the assessment of model quality in materials science and engineering. It discusses the fundamentals of model quality assessment and the calibration of mechanistic material models. The article reviews the considerations for the model verification during software implementation planning to identify suitable programs, software components, and programming languages. It describes the validity tests used in model validation, including boundary-value tests, degenerate problem tests, sensitivity tests, and benchmarking. The article also presents an example of model calibration, verification, and validation for the prediction of martensite start temperature of steels.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003731
EISBN: 978-1-62708-177-1
... of lattice planes, although a small mismatch between the crystal lattices can lead to coherency strains ( Fig. 2c ). Coherent interfaces have a relatively low interfacial energy that typically ranges from 50 to 200 ergs/cm 2 (0.05 to 0.2 J/m 2 ). An incoherent interface ( Fig. 2e and f...
Abstract
Precipitation reactions occur in many different alloy systems when one phase transforms into a mixed-phase system as a result of cooling from high temperatures. This article discusses the homogenous and heterogeneous nucleation and growth of coherent and semicoherent precipitates. It describes two precipitation modes, namely, general or continuous precipitation and cellular or discontinuous precipitation. The article also provides information on the precipitation sequences in aluminum alloys.
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... of the heat and/or solute diffusion equations, taking into account the local conditions at the solid/liquid interface, and the influence of anisotropic solid/liquid interfacial energies and mobilities. Direct models of the microstructure have been used to calculate solidification patterns, giving rise...
Abstract
This article reviews the various aspects of the simulation of solidification microstructures and grain textures. It describes the grain structures and morphology of dendrites or eutectics that compose the internal structure of the grains. A particular emphasis has been put on the simulation of defects related to grain textures and microstructures. The article provides information on the application of the most important simulation approaches and the status of numerical simulation.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005435
EISBN: 978-1-62708-196-2
... is derived from the defect interaction. The value of n scales with the resolved Burgers vector content of the defect and thus defines the defect potency. Consideration of an interfacial work, w f , for the glide of a martensitic interface in a solid solution gives a critical free energy change (driving...
Abstract
This article assesses the evolution of martensite modeling in the changing materials engineering environment. It describes the physics of displacive transformations using Ginzburg-Landau theory, microstructure representation, dynamics and simulations, density functional theory, and shuffle transitions. The article reviews the application of the Ginzburg-Landau approach to rigorous solutions for issues in the structure of a martensitic nucleus based on the martensitic nucleation theory. The three basic behavior modes of martensitic growth, such as elastic, elastic/plastic, and fully plastic are discussed. The article also reviews the overall kinetics of martensitic transformations.
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006379
EISBN: 978-1-62708-192-4
... be included in the definition of W SF . Interfacial Energy When a solid is not in vacuum but is in contact with a liquid or vapor, it is considered in terms of interfacial energy, γ SL or γ SV , respectively, rather than surface energy. If the aforementioned process were carried out in either...
Abstract
This article first describes surface forces, and the methods of measuring them, followed by a discussion on adhesion. It discusses the instrumental requirements and techniques, including Atomic Force Microscopy (AFM), used for the measurement of surface forces. Measurements of surface roughness, with AFM, can provide a precise picture of surface roughness and can be used as input for contact mechanics computer models. The article also describes microscale adhesion and adhesion measurement methods using microelectromechanical systems technologies. It reviews certain considerations used for the measurement of adhesion, such as fundamental adhesion measurements, history dependence and sample preparation, and practical adhesion measurements. The article describes various arrangements that can be employed in adhesion tests.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005207
EISBN: 978-1-62708-187-0
... m is the molar volume, and σ is the interfacial energy. For a sphere of radius, r , K = 2/ r. In terms of Eq 9 , the melting of a microscopic particle of pure component with radius r , T f ( r ), is depressed from the melting point of a macroscopic particle by: (Eq 10) T f ( r...
Abstract
This article discusses selected highlights of thermodynamic relationships during solidification and nucleation kinetics behavior in connection with the basis of nucleation treatments, such as grain refinement and inoculation, to provide a summary of nucleation phenomena during casting. The article describes nucleation phenomenon such as homogeneous nucleation and heterogeneous nucleation. It examines various grain refinement models, such as the carbide-boride model, the free growth model, and the constitutional undercooling model. The article concludes with information on the thermal analysis techniques for assessing grain-refining characteristics during master alloy processing.
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
... percent), there exists a large shear component (~10%) plus a ~2% volume change in the eigenstrain, or stress-free transformation strain (SFTS) ( Ref 15 ). The elastic energy and interfacial energy anisotropy plus possible growth anisotropy associated with such Burgers path and BORs lead to the formation...
Abstract
This article describes the integration of thermodynamic modeling, mobility database, and phase-transformation crystallography into phase-field modeling and its combination with transformation texture modeling to predict phase equilibrium, phase transformation, microstructure evolution, and transformation texture development during heat treatment of multicomponent alpha/beta and beta titanium alloys. It includes quantitative description of Burgers orientation relationship and path, discussion of lattice correspondence between the alpha and beta phases, and determination of the total number of Burgers correspondence variants and orientation variants. The article also includes calculation of the transformation strain with contributions from defect structures developed at alpha/beta interfaces as a precipitates grow in size. In the CALculation of PHAse Diagram (CALPHAD) framework, the Gibbs free energies and atomic mobilities are established as functions of temperature, pressure, and composition and serve directly as key inputs of any microstructure modeling. The article presents examples of the integrated computation tool set in simulating microstructural evolution.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005415
EISBN: 978-1-62708-196-2
... and structural variations within them, and the associated interfacial energies. When applied at the natural (typically microscopic) length scales of a given defect (such as an individual dislocation, interface, or nucleating precipitate), the phase-field model has a unique advantage over the sharp-interface...
Abstract
This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin force approach and explicit nucleation algorithm. Calculation of activation energy and critical nucleus configuration is discussed. The article presents the deterministic phase-field kinetic equations for modeling growth and coarsening of microstructure. It also describes the material-specific model inputs, chemical free energy and kinetic coefficients, for phase-field microstructure modeling. The article provides four examples that illustrate some aspects of phase-field modeling.
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