1-20 of 73 Search Results for

subscript

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060183
EISBN: 978-1-62708-355-3
... are Orthotropic, Eq 1 is valid, with the subscripts 1 and 2 replaced by x and y , respectively. Shear Coupling Phenomenon Components of stress and strain can be transformed from one coordinate system to another. Thus, it is possible to establish the stress-strain relationship in any coordinate system...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540001
EISBN: 978-1-62708-309-6
... ε x will increase proportionally with the time t with constant ∂ε x /∂ t , where the subscript x denotes the direction of deformation parallel to the axial (length) direction of the rod. Therefore: (Eq 1.5c) ν = ∂ u / ∂ t , ε x = ∂ u / ∂ x...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.pb.t51230253
EISBN: 978-1-62708-351-5
...Abstract Abstract This appendix contains abbreviations and symbols related to brazing. brazing Abbreviations/Symbols Subscripts ...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040017
EISBN: 978-1-62708-300-3
... identical subscripts, e.g., σ xx , while a differing pair indicates a shear stress. This notation can be simplified by denoting the normal stresses by a single subscript and shear stresses by the symbol τ. Thus one will have σ xx ≡ σ x and σ xy ≡ τ xy . In case of equilibrium, σ xy = σ yx , thus...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040051
EISBN: 978-1-62708-300-3
... upsetting process. (b) Forces acting on an element. (c) Stress components acting on an element Fig. 5.2 Stress tensor A normal stress is indicated by two identical subscripts, e.g., σ xx , while a shear stress is indicated by a differing pair, σ xy . This notation can be simplified...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2007
DOI: 10.31399/asm.tb.smnm.t52140009
EISBN: 978-1-62708-264-8
... not extend high enough to measure the increased A 3 temperature, which is called the A c 3 temperature.) Figure 3.11 presents a graphical summary of the aforementioned ideas, showing the shift up of the A lines on heating, with labels having subscript “c” added, and the shift down on cooling...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540319
EISBN: 978-1-62708-309-6
...° plies, and four 45° plies, in the order of [0/90/45/– 45/– 45/45/90/0] T . The coding sequence starts at the most positive z lamina, which is the top layer of the laminate. The subscript T indicates that the total laminate is shown. For laminates with midplane symmetry, such as the current example, we...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.scm.t52870421
EISBN: 978-1-62708-314-0
... in the material axes are denoted as σ 11 , σ 22 , and τ 12 , with the associated strains denoted as ε 11 , ε 22 , and γ 12 . Fig. 16.1 Material and structural coordinate systems Such ply properties as tensile modulus, shear modulus, and Poisson’s ratio are denoted by two subscripts, as illustrated...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 1999
DOI: 10.31399/asm.tb.lmcs.t66560029
EISBN: 978-1-62708-291-4
... heating and to differentiate them used the subscripts “r” (French— refroidissement: cooling) and “c” (French— chauffage: heating or warming). An additional numerical subscript was added to distinguish the various arrests now known to originate from both structural and magnetic changes, as shown...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540373
EISBN: 978-1-62708-309-6
... ) as: (Eq A2.1a) K t ∞ = 2 ( a b ) + 1 or (Eq A2.1b) K t ∞ = 2 ( a ρ ) 1 / 2 + 1 where ρ = b 2 / a by definition. The subscript ∞ implies that the load is applied at infinity and the stress-concentration factor...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 April 2004
DOI: 10.31399/asm.tb.ps.t62440049
EISBN: 978-1-62708-352-2
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240003
EISBN: 978-1-62708-251-8
... increases with increases in the cooling rate. The temperatures (designated A ) associated with heating contain the subscript “c,” which is French for chauffage , meaning heating, while the ones for cooling have the subscript “r” for the French refroidissement , meaning cooling. Many other metals...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540169
EISBN: 978-1-62708-309-6
... different modes of crack-tip displacement. The notations for them include subscripts to K that are either a Roman numeral or an Arabic numeral. The Roman I and II designate the plane-strain condition. The Arabic 1, 2, and 3 are used for plane stress, or an unspecified state of stress (i.e., plane stress...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.ssde.t52310057
EISBN: 978-1-62708-286-0
... and is characterized by the Pilling-Bedworth ratio, abbreviated as PBR ( Ref 13 ). (Eq 28) P B R = V O x i d e V M e t a l = V m O x i d e V m M e t a l * ν Here, the subscript m stands for molar volume, and υ is the number...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2000
DOI: 10.31399/asm.tb.fec.t65940001
EISBN: 978-1-62708-302-7
..., respectively, where (Eq 1.11) Δ ϕ a = ϕ M , a − ϕ S , a (Eq 1.12) Δ ϕ c = ϕ M , c − ϕ S , c Fig. 1.5 The elementary electrochemical corrosion circuit The subscripts a and c designate the anodic and cathodic sites...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.pb.t51230047
EISBN: 978-1-62708-351-5
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420015
EISBN: 978-1-62708-310-2
.... This temperature differential is known as the temperature hysteresis of allotropic phase transformation and its magnitude increases with increases in the cooling rate. The temperatures (designated A ) associated with heating contain the subscript “c,” which is French for chauffage , meaning heating, while...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2000
DOI: 10.31399/asm.tb.aet.t68260001
EISBN: 978-1-62708-336-2
... + m 2 k A R2 where a 1 subscript denotes a sticking zone, a 2 subscript denotes a sliding zone, m is the friction factor, A R is the real area of contact, and k is the material shear strength. The friction stress is given by: (Eq 14) τ f = k A R1...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2000
DOI: 10.31399/asm.tb.fec.t65940023
EISBN: 978-1-62708-302-7
... for the reaction as written for reactants and products in their standard states; it is calculated from Eq 2.20 . The a’s are the activities of the species indicated by the subscripts: each activity is raised to a power equal to the stoichiometric coefficient of the species as it appears in the reaction...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.tb.msisep.t59220025
EISBN: 978-1-62708-259-4
..., highlighting some of the important variables useful in quantifying the microstructural state. For three-dimensional features, volume V is the important variable. Volume is frequently discussed in terms of volumetric fraction V V . (In stereology, the subscript is used to represent the normalizing factor...