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upper-bound analysis

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Published: 01 December 2009
Fig. 6 Upper-bound analysis of a double extrusion-forging process showing sound flow on the left and cavity formation at the centerline on the right. Source: Ref 13 More
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005461
EISBN: 978-1-62708-196-2
... Abstract This article discusses physical analysis, including slab method and upper-bound method and slip-line field analysis, for calculating stress states in plastic deformation processes. It presents various validation standards and models for evaluating the criterion of fracture for use...
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Published: 01 January 2005
Fig. 27 Prediction for occurrence of center burst in wire drawing. Solid line is based on slip-line analysis of centerline tensile stress. Dashed lines are range of prediction based on upper-bound analysis. More
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Published: 01 January 2005
Fig. 23 Prediction of central burst in wire drawing by the tensile stress criterion and slip-line field analysis of double indentation. The range of predictions by upper bound analysis ( Fig. 19 ) is shown by dashed lines. More
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Published: 01 December 2009
Fig. 12 Prediction of central burst in wire drawing by the tensile stress criterion and slip-line field analysis (solid line) of double indentation. The range of predictions by upper-bound analysis ( Fig. 8 ) is shown by dashed lines. Source: Ref 25 More
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Published: 01 January 2005
Fig. 14 Configuration of deformation zone in the application of numerical upper-bound analysis to the rolling of airfoil shapes. Source: Ref 21 More
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005456
EISBN: 978-1-62708-196-2
...), and the finite-element method (FEM). The slab method and upper bound method of analysis assume a known deformation field in the plastically deforming body and assume this field either satisfies the force equilibrium (SM) or power-conservation equations (UBM) to determine the stress field or the external load...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004013
EISBN: 978-1-62708-185-6
... deformation energy methods drawing finite-element analysis lower-bound analysis macroscopic process metal flow microscopic process upper-bound analysis METALLIC COMPONENTS consisting of two or more metals are often required by industry for reasons of economy or because the composites can achieve...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009004
EISBN: 978-1-62708-185-6
... The upper bound method of plasticity analysis requires the input of a flow field in mathematical function form. The external work required to produce this flow field is determined through extensive calculation. This value for external work is an upper bound on the actual work required. Through optimization...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009006
EISBN: 978-1-62708-185-6
... ). A novel approach to predicting centerbursts has been employed by Avitzur ( Ref 15 ). Using an upper-bound analysis, Avitzur has projected die angles and reductions for which the metal being worked will tend to flow apart at the centerline. As has been noted by Backofen ( Ref 19 ), this approach seeks...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006804
EISBN: 978-1-62708-329-4
... as failed components where the load may have been higher than the failure load. Upper bound: The object had to receive less than a certain load. While it is certainly possible to have other options, cases where the object did not deform or where the supports remained intact may provide upper bounds...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009013
EISBN: 978-1-62708-185-6
.... The measure of superior microstructure will be in the form of tensile strength measurements made from samples that have undergone different processing parameter combinations. A schedule of xperiments is set up in which the upper and lower bounds of the factors are chosen ( Table 2 ). These upper and lower...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
... Abstract This article describes the historical background, uncertainties in structural parameters, classifications, and application areas of probabilistic analysis. It provides a discussion on the basic definition of random variables, some common distribution functions used in engineering...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005169
EISBN: 978-1-62708-186-3
... generation due microinch to strain hardening; elastic strain energy micron (micrometer) upper bound upper-bound element technique microsecond upper-bound method ultrahigh carbon Poisson s ratio Uni ed Numbering System ultimate tensile strength pi (3.14159. . .) density of a material; dislocation density...
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
... the possible true states of nature that are consistent with the data analyzed. Statistical uncertainty bounds assume that the underlying mathematical model used in the analysis is the true model. There are two often-used methods that are followed to reflect the uncertainty about an estimate ( Ref 25...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003513
EISBN: 978-1-62708-180-1
... and 552 MPa (50 and 80 ksi). Crack-tip opening displacement toughness values δ m (upper shelf, Table 1 ) of 0.25 to 0.76 mm (0.01 to 0.03 in.) estimated from the fracture toughness tests were used in the analysis. Both the presence and absence of rolling residual stresses were considered. (Maximum...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005400
EISBN: 978-1-62708-196-2
... + 3 c 1 − 5 c 2       + 2 c 3 + 5 d 1 − 3 d 2 − 2 d 3 ) These strain-slip equations are used subsequently. An upper bound to the yield locus for this same crystal is be found by: Imposing different ratios...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003396
EISBN: 978-1-62708-195-5
... inputs for braiding are displayed. Fig. 6 Braiding parameter input window in SEER-DFM software Note that various inputs can be “bounded” by a range of values. This allows a user to perform a risk analysis on one or more variables, in the event that exact inputs are not known or defined...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009009
EISBN: 978-1-62708-185-6
... interface is described by the interface friction factor m = 3 τ i / σ 0 , both the slab method of plasticity analysis and the upper-bound analysis ( Ref 10 ) give the average axial flow stress as: (Eq 9) σ a = 4 P π D 2 = σ 0 ( 1 + m D 3 3...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004009
EISBN: 978-1-62708-185-6
... 13 , 17 ). The roll-separating force and the roll torque can be estimated with various levels of approximations by such mathematical techniques as the slab method, the upper bound method ( Ref 14 ), or the slip line method of analysis ( Ref 2 , 4 ). Computerized numerical techniques are also being...