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2-D cylindrical shell elements

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Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003389
EISBN: 978-1-62708-195-5
... on micromechanics and macromechanics. The article describes the FEA of 3-D solid elements, 2-D cylindrical shell elements, and 1-D beam elements. It contains a table that lists the commercially available finite element codes related to the analysis of fibrous composite materials. The article presents classical...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003253
EISBN: 978-1-62708-199-3
.... (a) Secondary electron image showing inclusions. (b-e) Auger spectra obtained from the indicated microstructural features. (b) The long rod-shaped precipitate (point 1) is a beryllium sulfide. (c) The small round precipitate (point 2) is a titanium carbide. (d) The small irregular precipitate (point 3) is also...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003385
EISBN: 978-1-62708-195-5
... equilibrium in the presence of in-plane loads is given by: (Eq 2) D 11 ∂ 4 w ∂ x 4 + 4 D 16 ∂ 4 w ∂ x 3 ∂ y + 2 ( D 12 + 2 D 66 ) ∂ 4 w ∂ x 2 ∂ y 2   + 4 D 26 ∂ 4 w ∂ x ∂ y 3 + D...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005121
EISBN: 978-1-62708-186-3
... and failure of the metal at that location Surface scratches: Occur in a drawn part if the punch and die surfaces are not smooth or if lubrication is not enough Fig. 4 Defects in deep-drawn cylindrical cups. (a) Flange wrinkling. (b) Wall wrinkling. (c) Tearing. (d) Earing. (e) Surface scratches...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005168
EISBN: 978-1-62708-186-3
... the necking direction per se. In the negative ρ range (ρ= d ε 2 / d ε 1 ≤0) lying between uniaxial tension and plane-strain tension, the necking direction is at an angle with respect to the maximum principal strain. However, in the biaxial stretching range (both ε 1 and ε 2 are positive), necking occurs...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001771
EISBN: 978-1-62708-178-8
... = N 0 e − x / λ   d x where dN is the number of electrons that do not undergo an inelastic scattering event while moving a distance x in the matrix, and N 0 is the number of photoelectrons emitted per unit area for the given shell. Defining θ as the angle between the surface...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002443
EISBN: 978-1-62708-194-8
... = directionally dependent. (d) u = a o + a 1 x + a 2 y. (e) u = a o + a 1 x + a 2 y + a 3 xy Triangles and quadrilaterals typically have two DOF at each node, the in-plane displacements. Triangles and quadrilaterals can also be structural elements, for example when the bending...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006823
EISBN: 978-1-62708-329-4
... fitness-for-service assessment criteria Table 5 API/ASME fitness-for-service assessment criteria Criteria Load combination (a) Global 1 3.6(P + P s + D) Global 2 3.096(P + P s + D + T) Global 4 3.096(P + P s + D) + 3.96 W Local 1.53(P + P s + D) (a) P...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006812
EISBN: 978-1-62708-329-4
... explosion Cracked Torn assunders (rupture) Leakage Other Accidents Injuries Deaths 1981 Shell 5 18 25 36 … 12 21 … 6 21 57 26 23 3 94 19 3 Head 1 7 5 9 … 3 1 … 6 2 12 7 1 … 23 … … Attachments 7 5 … 4 … 7 2 … … 2 7 5 1...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006298
EISBN: 978-1-62708-179-5
... °C (75 °F). The temperature evolution in the middle of the bar and cylindrical A356 castings and in the bar and cylindrical molds (at 25 and 10 mm, or 1 and 0.4 in., from the metal-mold interface) are shown in Fig. 2 ( c , d ). Thermophysical properties of the mold materials are shown in Table 3...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005252
EISBN: 978-1-62708-187-0
.... Sometimes, beryllium copper or brass is preferred for the sprues, risers, runners, and gating, to obtain quicker heat recovery. Because the lower portion of the ejector pins is d to direct heat, they are preferably made of stainless steel. An example of a typical shell-mold pattern assembly...
Book Chapter

Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005299
EISBN: 978-1-62708-187-0
... the same extent that they influence the solid steel at room temperature. At 1600 °C (2900 °F), the addition of 1.00% C increases the specific volume by approximately 4%, whereas 1.00% Al increases it 2%, and other alloying elements less than 1%. In general, upon alloying, elements heavier than steel...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005238
EISBN: 978-1-62708-187-0
... material states during solidification. Equilibrium and Compatibility Equations At any time and location in the solidifying material, the conservation of force (steady-state equilibrium) or momentum (transient conditions) can be expressed by: (Eq 2) ∇ ⋅ σ + ρ g − ρ d v d t...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006314
EISBN: 978-1-62708-179-5
... ;   P c = V · R t 2 · D where V is the dendrite tip velocity, α is the thermal diffusivity, and D is the solute diffusion coefficient. The function Iv( P ) is the Ivantsov function ( Ref 8 ), defined as: (Eq 7) Iv ( P ) = P · exp ( P ) · E 1 ( P...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003526
EISBN: 978-1-62708-180-1
... and analyses tend to be simplified as much as possible through the use of two-dimensional (2-D) analyses, symmetry, linearity, and steady-state conditions. As computing power increased, so did the complexity of finite element modeling and analysis techniques. The first analyses and elements available were...
Series: ASM Handbook
Volume: 4F
Publisher: ASM International
Published: 01 February 2024
DOI: 10.31399/asm.hb.v4F.a0007010
EISBN: 978-1-62708-450-5
... D 2 a . The value of Ω is a function of the convective Biot number. As an example, values for Ω and the Biot number are provided in Fig. 5 and Tables 4 , 5 , and 6 for the initial austenitizing temperature of 850 °C (1560 °F), bath temperature of 20 °C (68 °F...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004024
EISBN: 978-1-62708-185-6
... HRC Source: Ref 3 Three-Dimensional (3-D) Printing In this process, a CAD file is sliced into layers and a stereolithography (STL) file is generated ( Ref 4 ). Each layer begins with a thin distribution of powder spread over the surface of a powder bed ( Fig. 2 ). Using a technology...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005162
EISBN: 978-1-62708-186-3
... elements was 6% of stock thickness per side. Annual production was 100,000 brackets. Example 2: Change from Three Separate Dies to a Progressive Die The part shown in Fig. 5(b) was produced from 1.6 mm (0.062 in.) thick cold-rolled 1010 steel that had a hardness of 58 HRB maximum. A progressive...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001770
EISBN: 978-1-62708-178-8
... on an integrated circuit. Source: Ref 20 Fig. 12 Auger images from the area of the integrated circuit shown in Fig. 11 . (a) Silicon oxide. (b) Elemental silicon. (c) Oxygen. (d) Aluminum. Source: Ref 20 Experimental Limitations Elemental Detection Sensitivity Limitations...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0001818
EISBN: 978-1-62708-180-1
... blown from the vessel; the largest, weighing about 2 Mg (2 1 4 ton), penetrated the shop wall and traveled a total distance of 46 m (152 ft). Pieces of the failed vessel are shown in Fig. 11(b) . Fabrication History The cylindrical shell sections were hot formed so that the rolling...