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2-D cylindrical shell elements
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Book: Composites
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...
Abstract
This article provides an overview of the finite-element-based analyses (FEA) of advanced composite structures and highlights key aspects such as the homogenization of materials properties and post-processing of numerical results. It discusses the analysis of composite structures based 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 examples of the mechanics of composite materials to illustrate the aspects of multilayered composite structures.
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...
Abstract
This article describes the operation and capabilities of surface analysis methods of metals, including scanning electron microscopy, electron probe microanalysis, transmission electron microscopy, secondary ion mass spectroscopy, and X-ray photoelectron spectroscopy. It provides information on the capabilities, typical uses, spatial resolution, elemental analysis detection threshold and precision, limitations, sample requirements, and operating principles of the scanning auger microprobe.
Book: Composites
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...
Abstract
This article focuses on the unique characteristics of composites and laminated plates, including orthotropic, anisotropic, and unsymmetric plates. It discusses the stability issues associated with practical, structural laminates based on the finite stack effects and transverse shear stiffness effects. The article presents the study of instability associated with postbuckling behavior and hygrothermal buckling in composite sandwich panels and shell panels.
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...
Abstract
This article illustrates the mechanics of the deep drawing of a cylindrical cup. It discusses the fundamentals of drawing and drawability. Sheet metal is drawn in either hydraulic or mechanical presses. The article summarizes the defects in drawing and factors considered in press selection for drawing. It explains the types of dies used for drawing sheet metal and the effects of process variables and material variables on deep drawing. The process variables that affect the success or failure of a deep-drawing operation include the punch and die radii, punch-to-die clearance, press speed, lubrication, and type of restraint of metal flow used. The article describes the process of redrawing and ironing of metals. Drawing of workpieces with flanges and drawing of hemispheres are also illustrated. The article also provides information on the reducing of drawn shells, methods for expanding portions of drawn workpieces, trimming, and deep drawing using fluid-forming presses.
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...
Abstract
This article discusses the numerical simulation of the forming of aluminum alloy sheet metals. The macroscopic and microscopic aspects of the plastic behavior of aluminum alloys are reviewed. The article presents constitutive equations suitable for the description of aluminum alloy sheets. It explains testing procedures and analysis methods that are used to measure the relevant data needed to identify the material coefficients. The article describes the various formulations of finite element methods used in sheet metal forming process simulations. Stress-integration procedures for both continuum and crystal-plasticity mechanics are also discussed. The article also provides various examples that illustrate the simulation of aluminum sheet forming.
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...
Abstract
This article provides a detailed account of the principles, instrumentation,and applications of x-ray photoelectron spectroscopy (XPS), a technique used for elemental and compositional analysis of surfaces and thin films. It reviews the nomenclature of energy states and sensitivity of electrons at the surface that are capable of producing peaks in XPS. Additionally, it presents information on the instrumentation and the preparation and mounting of samples for XPS analysis. The article explains qualitative analysis, namely, measuring of shifts in the binding energy of core electrons, multiplet splitting, and the Auger parameter; and quantitative analysis such as depth analysis carried out using XPS. It also discusses the applications of XPS with examples.
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...
Abstract
Finite element analysis is a computer-based numerical method for solving engineering problems in bodies of user-defined geometry. This article introduces the important issues of finite elements (especially accuracy and efficiency) in a nonacademic manner. It describes the Rayleigh-Ritz procedure for solving structural problems based on the principle of virtual work. The article discusses continuum elements, such as hexahedra, pentahedra, tetrahedra, quadrilaterals, and triangles, commonly used in three- or two-dimensional domains. It considers structural elements such as beam element, plate element, shell element, and elbow element. The article presents three examples to illustrate the types of problems that can be addressed and the decisions that must be made when using finite element analysis.
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...
Abstract
This article illustrates the use of the American Petroleum Institute (API) 579-1/ASME FFS-1 fitness-for-service (FFS) code (2020) to assess the serviceability and remaining life of a corroded flare knockout drum from an oil refinery, two fractionator columns affected by corrosion under insulation in an organic sulfur environment, and an equalization tank with localized corrosion in the shell courses in a chemicals facility. In the first two cases, remaining life is assessed by determining the minimum thickness required to operate the corroded equipment. The first is based on a Level 2 FFS assessment, while the second involves a Level 3 assessment. The last case involves several FFS assessments to evaluate localized corrosion in which remaining life was assessed by determining the minimum required thickness using the concept of remaining strength factor for groove-like damage and evaluating crack-like flaws using the failure assessment diagram. Need for caution in predicting remaining life due to corrosion is also covered.
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...
Abstract
This article discusses pressure vessels, piping, and associated pressure-boundary items of the types used in nuclear and conventional power plants, refineries, and chemical-processing plants. It begins by explaining the necessity of conducting a failure analysis, followed by the objectives of a failure analysis. Then, the article discusses the processes involved in failure analysis, including codes and standards. Next, fabrication flaws that can develop into failures of in-service pressure vessels and piping are covered. This is followed by sections discussing in-service mechanical and metallurgical failures, environment-assisted cracking failures, and other damage mechanisms that induce cracking failures. Finally, the article provides information on inspection practices.
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...
Abstract
Modeling of gas evolution during sand mold castings is one of the most important technical and environmental issues facing the metal casting industry. This article focuses on describing the capability of numerically predicting gas evolution for the furan binder/silica sand system. It illustrates numerical modeling to study the gas evolution from furan binder/silica sand mold aggregate for aluminum, cast iron, and steel alloy cast components. The article discusses simulation results and experimental validation for aluminum alloys, cast iron castings, and steel alloys, as well as a parametric study that investigated the effects of various variables. It concludes with information on the application of 3-D modeling methodology to investigate gas emissions in furan binder/silica sand castings for steel 4140 and aluminum A356 alloys.
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...
Abstract
Shell molding is used for making production quantities of castings that range in weight from a few ounces to approximately 180 kg (400 lb), in both ferrous and nonferrous metals. This article lists the limitations or disadvantages of shell mold casting. It describes the two methods for preparation of resin-sand mixture for shell molding, namely, mixing resin and sand according to conventional dry mixing techniques, and coating the sand with resin. Shaping of shell molds and cores from resin sand mixtures is accomplished in machines. The article discusses the major steps in producing a mold or core and describes the problems most frequently encountered in shell-mold casting. The problems include mold cracking, soft molds, low hot tensile strength of molds, peelback, and mold shift. The article concludes with information on examples that provide some relative cost comparisons between shell molding and green sand molding.
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...
Abstract
Sand mold and permanent mold casting are the major methods for shape casting of steels, with production closely split among green sand, chemically bonded sand, and permanent mold processes. This article describes key aspects of the steel casting process, including steel solidification characteristics, melting practices, melt treatment, and feeding of the molten steel into the mold used in steel foundries. It discusses the features of melting furnaces used in direct arc melting and induction melting. It reviews factors such as wall thickness and designing for avoidance of hot spots. The article explains the sand casting and permanent mold casting of steel. The process design and casting of thin sections are also discussed.
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...
Abstract
This article summarizes some issues and approaches in performing computational analyses of mechanical behavior, distortion, and hot tearing during solidification. It presents the governing equations and describes the methods used to solve them. The article reviews the finite element formulation, multidomain approaches, and arbitrary Lagrangian Eulerian method in solidification modeling. It illustrates the sand casting of braking disks and continuous casting of steel slabs.
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...
Abstract
The microstructure that develops during the solidification stage of cast iron largely influences the subsequent solid-state transformations and mechanical properties of the cast components. This article provides a brief introduction of methods that can be used for simulating the solidification microstructure of cast iron. Analytical as well as numerical models describing solidification phenomena at both macroscopic and microscopic scales are presented. The article introduces macroscopic transport equations and presents analytical microscopic models for solidification. These models include the dendrite growth models and the cooperative eutectic growth models. The article provides some solutions using numerical models to simulate the kinetics of microstructure formation in cast iron. It concludes with a discussion on cellular automaton (CA) technique that can handle complex topology changes and reproduce most of the solidification microstructure features observed experimentally.
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...
Abstract
This article provides information on the development of finite element analysis (FEA) and describes the general-purpose applications of FEA software programs in structural and thermal, static and transient, and linear and nonlinear analyses. It discusses special-purpose finite element applications in piping and pressure vessel analysis, impact analysis, and microelectronics. The article describes the steps involved in the design process using the FEA. It concludes with two case histories that involve the use of FEA in failure analysis.
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...
Abstract
Intensive quenching (IQ) is an alternative method of hardening steel parts. Two types of IQ methods are used in heat treating practice: IQ-2 and IQ-3. IQ-2 is implemented in IQ water tanks, which are usually used for batch quenching of steel parts. IQ-3 is conducted in single-part processing using high-velocity water flow IQ units. This article presents a detailed description of IQ technology, related equipment, and IQ applications. A review of intensive quench system design and processing is provided, including numerical design criteria, steel selection, quenchants, properties (especially optimal residual stress profiles). Several specific applications of intensive quenching are also provided.
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...
Abstract
This article describes two rapid tooling technologies, namely, direct rapid tooling and indirect rapid tooling, for forging-die applications. Commonly used direct rapid tooling technologies include selective laser sintering, three-dimensional printing, and laser-engineered net shape process. The indirect rapid tooling technologies include 3D Keltool process, hot isostatic pressing, rapid solidification process tooling, precision spray forming, and radially constricted consolidation process.
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...
Abstract
This article reviews the selection and formability characteristics of steels, with an emphasis on low-carbon steels and some coverage on the forming of high-carbon steels. It describes the key factors that affect the formability of steels in terms of steelmaking practices, surface finishes, metal thicknesses, and alloying. The article explains the bending and forming operations with some examples. It also describes the formation of various shells, including doubly contoured shells, deep recessed shells, and deep circular shells.
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...
Abstract
This article describes the principles and applications of Auger electron spectroscopy (AES). It provides information on the instrumentation typically used in the AES, including an electron gun, an electron spectrometer, a secondary electron detector, and an ion gun. The article also describes experimental methods and limitations of the AES, including elemental detection sensitivity, electron beam artifacts, sample charging, spectral peak overlap, high vapor pressure samples, and sputtering artifacts.
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...
Abstract
This article discusses the effect of using unsuitable alloys, metallurgical discontinuities, fabrication practices, and stress raisers on the failure of a pressure vessel. It provides information on pressure vessels made of composite materials and their welding practices. The article explains the failure of pressure vessels with emphasis on stress-corrosion cracking, hydrogen embrittlement, brittle and ductile fractures, creep and stress rupture, and fatigue with examples.
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