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analytical modeling

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540379
EISBN: 978-1-62708-309-6
... Abstract This appendix presents an analytical model that estimates damage rates for both crack initiation and propagation mechanisms. The model provides a nonarbitrary definition of fatigue crack initiation length, which serves as an analytical link between initiation and propagation analyses...
Image
Published: 01 June 2016
Fig. 3.14 Overview of the results of molecular dynamics simulations, in comparison with an analytical model of fracture, showing the window of deposition (gray area) for intrinsically brittle nanoparticles. Source: Ref 3.27 More
Image
Published: 01 June 2016
Fig. 3.12 Variation of the critical impact velocity with particle size for copper. The solid lines correspond to the analytical model in Ref 3.5 , while the dotted lines show the upper limit of the critical velocity, corresponding to zero adiabaticity. The particle temperature upon impact More
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smfpa.t53500179
EISBN: 978-1-62708-317-1
... stress, τ, the pressure ( P d ) at the interface between the die and the tube can increase significantly. Analytical models have been developed to determine die contact pressure distribution when a tube is fed to the die cavity ( Ref 9.27 ). Figure 9.34 shows a comparison between the analytical model...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040295
EISBN: 978-1-62708-300-3
... Abstract This chapter addresses the issue of die failures in hot and cold forging operations. It describes failure classifications, fatigue fracture and wear mechanisms, analytical wear models, and the various factors that limit die life. It also includes several case studies in which finite...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320197
EISBN: 978-1-62708-357-7
... Abstract This chapter covers the analytical methods developed to characterize ordering phenomena in crystal structures. The chapter gives examples of ordering phenomena and discusses models for long-range ordering, such as the Bragg-Williams-Gorsky (B-W-G) model, and for short-range ordering...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.pb.t51230207
EISBN: 978-1-62708-351-5
..., the remaining β phase can be dissipated by a homogenization heat treatment (stage 4). Analytical models of diffusion brazing make use of the following assumptions: There are no initial barriers to direct contact between the parent material and filler metal so that metal-to-metal interface formation...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.tb.hpcspa.t54460067
EISBN: 978-1-62708-285-3
... evacuated chamber ( Ref 3.44 ). Analytical and Semiempirical Models The interaction of an impinging particle and the substrate has also been treated through analytical models, for example, by Wu et al. ( Ref 3.45 ). They considered the particle-substrate interaction with respect to analytically...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540391
EISBN: 978-1-62708-309-6
... Abstract Stress severity factors are used in design and analysis to account for stress concentrations, variations in material properties and fabrication quality, and other analytical uncertainties. They indicate the severity of stress in areas that are prone to crack development. This appendix...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 1997
DOI: 10.31399/asm.tb.wip.t65930141
EISBN: 978-1-62708-359-1
... toe. Role of Analytical Models The fatigue of weldments is a complicated topic. No two weldments are identical, and weldment fatigue resistance may depend on many variables in a complex, nonlinear way. The effects of the major variables such as stress range and weld geometry are certainly...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540319
EISBN: 978-1-62708-309-6
... the composite systems discussed in the next section, the widely used polymer-matrix composites (PMCs) have received the most attention. Compared to other types of composites, the PMC has been thoroughly studied both theoretically and experimentally. Analytical methods have been fully developed and documented...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610001
EISBN: 978-1-62708-303-4
... analytical modeling and prediction techniques, accurate life-assessment methods, and a fortified commitment to avoid the recurrence of these failures through improved designs. The examples cited in Table 1 were serious and often tragic failures that had a great impact on structural designs and life...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smfpa.t53500019
EISBN: 978-1-62708-317-1
..., tool geometry, and loading conditions are difficult to model analytically. However, selection of the appropriate element and solver type and definition of the tool model and boundary conditions are crucial to obtaining an accurate solution in a reasonable amount of computation time. All commercial...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060083
EISBN: 978-1-62708-343-0
... strains for use by the method of SRP. This chapter covers analytical and experimental techniques for partitioning creep and plastic strains. Empirical models also can estimate the SRP life relationships when limited or no cyclic data are available. In addition, this chapter discusses the physical...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040185
EISBN: 978-1-62708-300-3
.... Empirical methods: Use simple empirical formulas and graphs or monographs to estimate the load for simple forging operations. These methods are quick but limited in their accuracy and are not sufficiently general to predict forging load for a variety of parts and materials. Analytical methods: A forging...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540215
EISBN: 978-1-62708-309-6
... will be used as the analytical initial crack size. The useful life of that part will be the recalculated life plus the life already in-service. This revised life is used to check against the intended service life. Corrective actions should be taken as required. A fracture-mechanics-oriented damage...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2023
DOI: 10.31399/asm.tb.edfatr.t56090069
EISBN: 978-1-62708-462-8
..., and advanced fault models for diagnosing embedded memory. ATPG scan diagnostics fault isolation SSN network streaming scan network UDFM user defined fault model Background As modern semiconductor technology continues to advance, the complexity of semiconductor products exponentially...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780216
EISBN: 978-1-62708-281-5
... stress were accounted for. The comparisons of load-displacement predictions with experimental data are shown in Fig. 19 . Given the simplicity of the trilinear material model and the severity of the deformation involved, the comparisons are very reasonable. The analytical predictions were terminated...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040083
EISBN: 978-1-62708-300-3
... parameters in the flow stress model and the friction at the tool/workpiece interface. 8.2 Inverse Analysis in Metal Forming 8.2.1 Direct and Inverse Problems An FEA of metal forming process as illustrated in Fig. 8.1(a) is regarded as direct problem. The required input data for direct problem...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110196
EISBN: 978-1-62708-247-1
... = 0.55 ∘ C / m W Resistance Variation Resistance variation of the aluminum was calculated in the permanent regime. Resistance change, ΔR, can be calculated from the average temperature along the metal line at a given time (T avg (t)) according to the following analytical model: (6) Δ...