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numerical methods

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040091
EISBN: 978-1-62708-300-3
... Abstract There are numerous approximate methods, both analytical and numerical, for analyzing forging processes. None are perfect because of the assumptions made to simplify the mathematical approach, but all have merit. This chapter discusses the slab, upperbound, and finite element methods...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780295
EISBN: 978-1-62708-281-5
... on engineering properties. Methods of detecting and measuring internal stresses are also presented. The article then describes the combined effects of thermal stresses and orientation that result from processing conditions. Finally, it discusses numerous aspects of physical aging and the use of high-modulus...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smff.t53400073
EISBN: 978-1-62708-316-4
... Abstract This chapter describes the formability and forming characteristics of low-carbon sheet steels, coated sheet steels, stainless steels, and aluminum and magnesium alloys. It provides property data as well as flow stress curves for numerous grades of each material and explains how...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2001
DOI: 10.31399/asm.tb.secwr.t68350043
EISBN: 978-1-62708-315-7
... Abstract This chapter discusses the basic principles of friction and the factors that must be considered when determining its effect on moving bodies in contact. It provides an extensive amount of friction data, including static and kinetic friction coefficients for numerous combinations...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.tb.sfa.t52780093
EISBN: 978-1-62708-268-6
... of these items. This chapter reviews these methods. There are numerous techniques and technologies available for examining and analyzing components and subassemblies, which are categorized as follows: Optical approaches for visually assessing suspected items under both normal and magnified conditions...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540001
EISBN: 978-1-62708-309-6
... that involve complex geometric and loading combinations. The complexity of the boundary conditions and the governing differential equations determine the possible methods of solution. In some cases, solutions may be adequately achieved by analytical (closed-form) equations, while in other cases numerical...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2000
DOI: 10.31399/asm.tb.aet.t68260029
EISBN: 978-1-62708-336-2
... an excellent study using numerical methods to calculate the nonsteady-state temperature distribution in extrusion through conical dies. They included the temperature dependencies of the flow stress and of the thermal constants of the billet and the tool materials into the analysis. The researchers considered...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040185
EISBN: 978-1-62708-300-3
... is the most widely known technique to perform this type of analysis. It is successfully used for predicting forging loads and stresses with acceptable engineering accuracy. Numerical methods: The finite-element method (FEM) is the most widely used method in this field. The major advantage of this method...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060407
EISBN: 978-1-62708-261-7
... against premature wear and corrosion. Numerical modeling can be used to determine if localized areas such as radiused corners are subject to stress levels that are beyond the intended design limits. One popular method that is used in industry for this purpose is finite-element analysis (FEA), which...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1988
DOI: 10.31399/asm.tb.eihdca.t65220143
EISBN: 978-1-62708-341-6
... control of the actual induction heating process are of special interest. Several of these methods, pertinent to induction hardening processes, are discussed in this section. With the widespread use of high-speed digital computers, numerical simulation of induction heating processes...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2008
DOI: 10.31399/asm.tb.fahtsc.t51130241
EISBN: 978-1-62708-284-6
... on a description of the material through the theory of elasticity and solving constitutive equations by numerical methods Surface layer design for the criterion of fatigue failure is based on a comparison of the local fatigue resistance with local stresses occurring at critical locations in the investigated...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110111
EISBN: 978-1-62708-247-1
... numerical methods to solve the integral equation (Eq. 1) or the equivalent differential version using finite element methods or other variant [15] . These methods normally require imposing boundary conditions which translates into a priori knowledge of the circuit layout, something very often...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2000
DOI: 10.31399/asm.tb.aet.t68260001
EISBN: 978-1-62708-336-2
... , 1983 18. Avitzur B. , Metal Forming: Process and Analysis , McGraw-Hill Book Company , 1968 19. Altan T. and Kobayashi S. , A Numerical Method for Estimating the Temperature Distribution in Extrusion Through Conical Dies , J. Eng. Ind. (Trans. ASME) , 1968 10.1115...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2011
DOI: 10.31399/asm.tb.cfw.t52860115
EISBN: 978-1-62708-338-6
...) or varies along the dome (modified geodesic). The principal loads in the surface of revolution are reacted in the direction of the filament. The contour itself is derived by an iterative process using numerical methods for solving the equations discussed as follows ( Ref 9.8 , 9.9...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420263
EISBN: 978-1-62708-310-2
... of their calculation capability. However, if the problem to be solved involves multicomponent alloys with numerous multiple sublattice phases containing a potentially large number of local minima, speed issues will still arise. Whether to use local or more global methods is a pertinent question if reliability...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.scm.t52870101
EISBN: 978-1-62708-314-0
... size to cracked and damaged laminates. Thermal expansion is normally handled by shrinking the tool at room temperature using the calculation method shown in Fig. 4.4 . For example, an aluminum tool producing a part 120.0 in. (3.05 m) in length might actually be made as 119.7 in. (3.04 m) long...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.tb.hpcspa.t54460067
EISBN: 978-1-62708-285-3
.... Spray Technol. , Vol 18 ( No. 5–6 ), 2009 , p 921 – 933 10.1007/s11666-009-9325-2 3.34 Li W.-Y. , Yin S. , and Wang X.-F. , Numerical Investigations of the Effect of Oblique Impact on Particle Deformation in Cold Spraying by the SPH Method , Appl. Surf. Sci. , Vol 256...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smfpa.t53500211
EISBN: 978-1-62708-317-1
... requires a change in the forming path and the numerical control of the forming rolls. Fig. 10.15 Examples of (a) tailored rolled blank and (b) branched profile that can be used in roll forming An innovative method to produce branched profiles is linear flow splitting ( Ref 10.8 ). During...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040237
EISBN: 978-1-62708-300-3
... Technologies Corp., and ERC/NSM , Nov 14 , 2002 ( Canton, MI ). Selected Reference [Hayama, 1969] Hayama M. , Plasticity and Plastic Working , Ohmusha , 1969 , p 125 . The finite-element method (FEM) is one of the numerical techniques used for solving differential equations...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110153
EISBN: 978-1-62708-247-1
... of a much better RST fit with only a few wave orders of error for the majority of the die. It is important to note the flat lap method can be simulated on a modern Computer Numerical Control (CNC) mill with larger 12 mm diameter diamond mylar film tools. The large diameter tool greatly accelerates...