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mathematical models

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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
... 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 tool, such as virtual aluminum castings (VAC), developed and implemented for quickly developing durable cast aluminum...
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
... This article discusses the two major applications of hot isostatic pressing (HIP), such as healing of inherent internal defects in castings and welds, and consolidation of powder materials. It describes the design principles of the HIP tooling, as well as the problems associated with mathematical modeling...
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
... the equipment and auxiliary tools used in open-die forging. It discusses the production 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...
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
... flux 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...
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
... protection systems. 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...
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
..., low-pressure carburizing, 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. References References 1. Gear Industry Vision...
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
... corrosion tests, multiple-crevice assembly tests, cylindrical materials and products evaluation, component testing, electrochemical tests, and mathematical modeling. References References 1. Lee T.S. et al. , Mathematical Modelling of Crevice Corrosion of Stainless Steels , Corrosion...
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
... bearing stresses. Hi-Lok (Hi-Shear Corp.) Fig. 40 Example of design guidelines for bolted carbon/epoxy structures Abstract Abstract This article provides a discussion on adhesively bonded joints and elastic-plastic mathematical model for an adhesive in shear. It discusses the design...
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
... on the basic 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 Mathematical Modeling References...
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 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...
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
... of an accident where the model can be a physical, mathematical, or logical representation of a physical system or process. References References 1. Baker J.S. and Fricke L.B. , “The Traffic-Accident Investigation Manual,” Northwestern University Traffic Institute , 1986 2. “Guide...
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
... Transf. A , Vol 13 , 1988 , p 297 12. Palmer T.A. and DebRoy T. , Metall. Mater. Trans. B , Vol 31 , 2000 , p 1371 10.1007/s11663-000-0023-1 13. Arenas M. , Acoff V.L. , and El-Kaddah N. , Mathematical Modelling of Weld Phenomena 5 , IOM Communications...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006463
EISBN: 978-1-62708-190-0
... on the experimental process to acquire the needed data, the mathematical methods to obtain a POD curve, and techniques to assess uncertainty in the POD curve as it is obtained from a limited data set. The concept of model-assisted POD (MAPOD) is introduced, with additional details and representative examples of MAPOD...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003642
EISBN: 978-1-62708-182-5
... nonexplicit forms of mathematics. This article discusses the principles and applications of various models developed for understanding the corrosion mechanism. These models include mechanistic models, including Pourbaix model, thermophysical module, electrochemical module, and ion association model; risk...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005521
EISBN: 978-1-62708-197-9
... the three different modeling approaches for grain structures formed during solidification of metallic alloys: direct modeling of dendritic structure, direct modeling of grain structure, and indirect modeling of grain structure. The main construction bases, the scale at which it applies, and the mathematical...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005431
EISBN: 978-1-62708-196-2
... meshed solutions, with an emphasis on the FEM. It presents some basic differential equations that are used to model the responses of structures, components, processes, or systems with emphasis on continuum mechanics. The article provides an outline on the mathematical principles of solving differential...
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
... hierarchy, as shown in Fig. 2 . This hierarchy establishes the fundamental mechanisms involved in the heterogeneous nucleation of martensite. Using this modeling hierarchy, the M s modeling diagram is described in Fig. 3 and establishes the mathematical representation to be used to describe...
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
.... , Verification and Validation in Computational Welding Mechanics , Mathematical Modelling of Weld Phenomena , Vol 8 , Cerjak H. , Bhadeshia H.K.D.H. , and Kozeschnik E. , Ed., Verlag der Technischen Universität Graz , 2007 , p 1039 – 1051 5. Radaj D. , Fachbuchreihe...
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
... of this Volume. 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...
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
...Examples of mathematical modeling approach and applications for metals processing Table 1 Examples of mathematical modeling approach and applications for metals processing Tool Typical application(s) Slab, upper-bound, slip-line field models Loads, metal flow, gross defects in bulk...