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topological transformations

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Published: 01 December 2009
Fig. 14 Two-dimensional topological transformations. (a) Neighbor switching, T1. (b) Triangle elimination, T2 More
Image
Published: 01 December 2009
Fig. 16 To demonstrate topological transformations, a small system is used. Six grains fill the shown cube; in the figure, only two of them are shown, but the remaining grains completely fill the space. GB, grain boundary. Image in color More
Image
Published: 01 December 2009
Fig. 17 Fundamental topological transformations. (a)–(c) Triple-line collapse: (a) original configuration, (b) collapse of the triple line e 1 , and (c) restoration of the topology by the introduction of a new triangular grain boundary. (d) and (e) Grain-boundary collapse: (d) configuration More
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005422
EISBN: 978-1-62708-196-2
... of the microstructure, formulation of the equation of motion, and implementation of the topological transformations. The article presents examples that illustrate the simulation of physical phenomena to demonstrate the predictive power and flexibility of network models. vertex models grain growth grain-boundary...
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
... 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...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005836
EISBN: 978-1-62708-167-2
...-phase controlled bridge rectifier Direct Current/Direct Current (dc/dc) The transformation of a given voltage into a dc voltage of different magnitude and/or polarity is done with dc/dc converters or dc choppers. Over the years, a number of different topologies have been established...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006958
EISBN: 978-1-62708-439-0
.... additive manufacturing gas industry oil industry part selection process control Additive Manufacturing Background The Fourth Industrial Revolution (4IR) is characterized by the digitalization of manufacturing, which can transform operations, processes, and the structure of global supply chains...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006950
EISBN: 978-1-62708-439-0
... requires understanding and controlling the underlying mechanisms, such as rapid heating and cooling, process-induced distortion, nonequilibrium solidification, solid-state phase transformations, and melt pool dynamics. Moreover, due to the relative unpredictability of AM material properties, many...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005511
EISBN: 978-1-62708-197-9
... of phase stabilities, phase transformation temperatures, phase amounts, and phase compositions in an equilibrium state is critically needed in the determination of processing parameters. In this section, four examples are presented to show how multicomponent phase diagram calculation can be readily useful...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005459
EISBN: 978-1-62708-196-2
... methodologies. These include JMAK (Avrami) models, topological models, and mesoscale physics-based models. microstructure evolution thermomechanical processing nickel-base superalloys avrami model topological model mesoscale physics-based model THE MODELING OF MICROSTRUCTURE EVOLUTION during...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003802
EISBN: 978-1-62708-177-1
... transformation (dia- INCRA International Copper Research Asso- ite is completed during heating A1 eutectoid isothermal of austenite in steel gram) ciation (same as Ae1) CDA Copper Development Association ISO International Organization for Standardi- Ac1 the temperature at which austenite begins cm centimeter...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006949
EISBN: 978-1-62708-439-0
... shapes and topologies. These types of extended PC opportunities are defined as extended AM-PC potentials. On the other hand, AM provides new opportunities for consolidating components with relative motion or material variances, which is drastically different from PC in the CM context. Typical...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005647
EISBN: 978-1-62708-174-0
... Å angstrom ac alternating current Ac 1 temperature at which austenite begins to form during heating Ac 3 temperature at which transformation of ferrite to austenite is completed during heating Ae cm , Ae 1 , Ae 3 equilibrium transformation temperatures in steel AISI...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003721
EISBN: 978-1-62708-177-1
... microscopy is capable of resolving various crystal defects such as dislocations, dislocation dipoles, dislocation networks, and dislocation loops. The characteristic structures of metals and alloys are produced by (1) transformations in which one or more parent phases are converted into one or more new...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006975
EISBN: 978-1-62708-439-0
... layer-by-layer nature ( Ref 20 ). Design for AM (DFAM) addresses these new challenges from the conceptual to the embodiment and detailed design phases. Related tasks include topology optimization and additive manufacturability analysis. Data analytics and machine learning on AM data provide DFAM...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002446
EISBN: 978-1-62708-194-8
... background on how these algorithms make decisions when searching for the optimal design. It also provides information on structural optimization, topology optimization, materials processing optimization, multidisciplinary optimization, and global optimization. design optimization global optimization...
Series: ASM Handbook
Volume: 1
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v01.a0005547
EISBN: 978-1-62708-161-0
...' compact tension~ continuous Ar1 temperature at which transformation ilr final cross-sectional area to ferrite or to ferrite plus cementite transformation CTOD crack tip opening displacement a(l original cross-sectional area is completed on cooling CVD chemical vapor deposition CVN Charpy V~notch (impact...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001762
EISBN: 978-1-62708-178-8
...-dimensional data set consisting of intensity versus the scattering angle to obtain the maximum amount of information available in a diffraction experiment. The accuracy and extent of the diffraction data determine the accuracy of the distance information obtainable. The appropriate Fourier transform...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.9781627081801
EISBN: 978-1-62708-180-1
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0006548
EISBN: 978-1-62708-180-1
... temperature at which austenite begins to form on heating Ac3 temperature at which transformation of ferrite to austenite is completed on heating ABS acrylonitrile-butadiene-styrene ACI Alloy Casting Institute AES Auger electron spectroscopy AGMA American Gear Manufacturers Asso- ciation AISI American Iron...