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mathematical models

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Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005509
EISBN: 978-1-62708-197-9
... with mathematical modeling of HIP. The article presents an example for the modeling process of the HIP. It reviews the numerical modeling and tooling design of a casing component demonstration. casting defects castings hot isostatic pressing tooling design THE MAJOR GOALS FOR HOT ISOSTATIC PRESSING...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005427
EISBN: 978-1-62708-196-2
... Abstract Integrated computational materials engineering refers to the use of computer simulations that integrate mathematical models of complex metallurgical processes with computer models used in component and process design. This article outlines an example of a computer-aided engineering...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005877
EISBN: 978-1-62708-167-2
... density, current density, magnetic field strength, and magnetic flux density. This article describes the behavior of the EMF by Maxwell's equations in integral or differential forms. It discusses the definition of potentials; methods of mathematical modeling; boundary conditions; and energy, power density...
Book Chapter

Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003978
EISBN: 978-1-62708-185-6
... and practice of open-die forging, with some practical examples. The article illustrates macrosegregation in a large steel ingot and lists the forgeable alloys. It reviews the physical and mathematical models used in deformation modeling. The article explains the contour forging and roll planishing process...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005878
EISBN: 978-1-62708-167-2
... equations, initial and boundary conditions, and multiple reflection phenomena of mathematical modeling. These boundary conditions include the Dirichlet, Neumann, and Henkel conditions. heat transfer coefficient mathematical modeling Introduction Temperature is a typical parameter...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005876
EISBN: 978-1-62708-167-2
... Abstract Designing of induction heating, or, generally electro technological installations, requires mathematical modeling for solving problems related to various physical phenomena, including electromagnetic (EM), thermal, mechanical, fluidic, and metallurgical fields. This article focuses...
Series: ASM Handbook
Volume: 4D
Publisher: ASM International
Published: 01 October 2014
DOI: 10.31399/asm.hb.v04d.a0005987
EISBN: 978-1-62708-168-9
..., induction hardening, through hardening, and nitriding. In view of the emerging use of mathematical modeling and optimization, a brief overview of its application for process and design optimization is also provided. carburizing gears heat treatment induction hardening low-pressure carburizing...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003662
EISBN: 978-1-62708-182-5
...-crevice assembly tests, cylindrical materials and products evaluation, component testing, electrochemical tests, and mathematical modeling. crevice corrosion localized corrosion multiple-crevice assembly testing cylindrical material component testing electrochemical testing mathematical...
Series: ASM Handbook
Volume: 13C
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v13c.a0004114
EISBN: 978-1-62708-184-9
.... These include the determination of cathodic protection current by the casing polarization and CPP tests or by mathematical models; calculation of casing-to-anode separation; isolation of the casing from other facilities; consideration of stray current interference from other dc power sources; and determination...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003384
EISBN: 978-1-62708-195-5
... Abstract This article provides a discussion on adhesively bonded joints and elastic-plastic mathematical model for an adhesive in shear. It discusses the design rules for thin bonded structures and reviews computer programs for the highly loaded stepped-lap joints. The article describes the two...
Series: ASM Handbook
Volume: 23A
Publisher: ASM International
Published: 12 September 2022
DOI: 10.31399/asm.hb.v23A.a0006904
EISBN: 978-1-62708-392-8
.... It describes the methods for characterizing the performance of bioink formulations and the effectiveness of crosslinking strategies. The topics covered include modalities of bioprinting, characteristics of bioink, rheological properties of bioink sols, rheological measurements, mathematical models of bioink...
Image
Published: 01 November 2010
Fig. 65 Hardness distribution across the section of the workpiece shown in Fig. 64 after quenching in oil. (a) By mathematical modeling. (b) By experiment. Source: Ref 163 More
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003523
EISBN: 978-1-62708-180-1
... be a physical, mathematical, or logical representation of a physical system or process. accident reconstruction failure analysis modeling FAILURE ANALYSIS is generally defined as the investigation and analysis of parts or structures that have failed or appeared to have failed to perform...
Image
Published: 01 January 2005
Fig. 46 Effect of crevice gap and depth on the initiation of crevice corrosion in various stainless steels and alloy 625. The gaps and depths below and to the right of the curve for each material define crevice geometries where initiation of crevice corrosion is predicted by the mathematical More
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
... of an appropriate mathematical model based on the relevant mechanisms involved in the phenomena to be modeled. The mathematical model is influenced by the observations of reality in terms of the selection of appropriate mechanisms and applicable simplifying assumptions. Programming techniques are used to translate...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005425
EISBN: 978-1-62708-196-2
... with greater understanding of the mechanisms that control the evolution of microstructure, texture, and defects. New theories and associated mathematical models are being developed and applied to metallic alloy systems for existing and new processing methods. To complement empirical descriptions of material...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005604
EISBN: 978-1-62708-174-0
.... Adapted from Ref 20 A simplified phenomenological heat-source model is normally used to represent the heat of the welding process. Because this model is not a process model but an abstract parameterized mathematical model, it must be calibrated in an iterative way so that the resulting...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006772
EISBN: 978-1-62708-295-2
.... Investigators are now capable of deploying various tools (laser scanning, photogrammetry, drones, etc.) to acquire high-quality, highly accurate data to successfully document accident scenes while preserving evidence for future examination. A model is a physical, mathematical, or logical representation...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005636
EISBN: 978-1-62708-174-0
... welding. The article presents the mathematical equations of mass, momentum, energy, and species conservation. It reviews the applications of heat transfer and fluid flow models for different welding processes. Finally, the article discusses the approaches to improve reliability of, and reduce uncertainty...
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006140
EISBN: 978-1-62708-175-7
... mechanical properties allowing an increase in design allowables and improved machinability beyond conventional cast and wrought levels. The advanced manufacturing technology practiced by Synertech PM is based on LNT's mathematical models of consolidation and shrinkage of powder in the complex shape HIP...