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circle grid analysis
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Series: ASM Handbook
Volume: 1
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v01.a0001031
EISBN: 978-1-62708-161-0
... Abstract Steel sheet is widely used for industrial and consumer products, partly because it is relatively strong, easily joined, and readily available at moderate cost. This article discusses the mechanical properties and formability of steel sheet, the use of circle grid analysis to identify...
Abstract
Steel sheet is widely used for industrial and consumer products, partly because it is relatively strong, easily joined, and readily available at moderate cost. This article discusses the mechanical properties and formability of steel sheet, the use of circle grid analysis to identify the properties of complicated shapes, and various simulative forming tests. The mechanical properties of steel sheet that influence its forming characteristics, either directly or indirectly, can be measured by uniaxial tension testing. The article covers the effects of steel composition, steelmaking practices, and metallic coatings, as well as the correlation between microstructure and formability. A guide to the selection of steel sheet is also included. The formability of steel sheet is related to various microstructural features of the sheet. The article describes some of the forming characteristics of the more commonly used formable grades. It also lists the typical mechanical properties for common grades of hot-rolled and cold-rolled steel sheets.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005149
EISBN: 978-1-62708-186-3
... testing, and simulative tests such as bending tests, stretching tests, the Ohio State University test, the drawing test, and stretch-drawing tests. It extends the correlation between simulative tests and materials properties using forming limit diagrams and circle grid analysis, and discusses...
Abstract
Sheet metal forming operations are so diverse in type, extent, and rate that no single test provides an accurate indication of the formability of a material in all situations. This article presents an overview of types of forming, formability problems, and principal methods of measuring deformation. It reviews the effect of materials properties and temperature on formability. The article provides a detailed discussion on the two major categories of formability tests such as the intrinsic test, including uniaxial tension testing, plane-strain tension testing, biaxial stretch testing, and simulative tests such as bending tests, stretching tests, the Ohio State University test, the drawing test, and stretch-drawing tests. It extends the correlation between simulative tests and materials properties using forming limit diagrams and circle grid analysis, and discusses the improvements to the forming limit diagram technology.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005182
EISBN: 978-1-62708-186-3
.... The article describes the types of strain analysis, namely, thinning strain analysis and circle grid strain analysis. It also provides information on the applications of the thinning strain analysis. bead correction factor circle grid strain analysis flat blanks formability troubleshooting forming...
Abstract
This article describes strain analysis techniques for troubleshooting formability and process discrepancies throughout a tooling development and production stamping cycle. The techniques include strain calculations of a flat blank, forming limit curve, and forming limit diagram. The article describes the types of strain analysis, namely, thinning strain analysis and circle grid strain analysis. It also provides information on the applications of the thinning strain analysis.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005152
EISBN: 978-1-62708-186-3
... is circle grid analysis and forming limit diagrams; these are described in Ref 8 , 9 , 10 , 11 . The actual amount of deformation that the sheet has experienced is determined from the deformed circles ( Fig. 9 ). The forming limit diagram shows the maximum amount of deformation a stamping can undergo...
Abstract
Statistics are extremely important tools in the operation of press shops, providing numerical process analysis capabilities. The most common use of statistics in the press shop is statistical process control (SPC) that uses statistical techniques such as control charts to analyze a process or its output to enable appropriate actions to be taken to achieve and maintain a state of statistical control. This article discusses the role of statistics in sheet metal forming operations, both in terms of SPC techniques, such as control charting, statistical deformation control, and experimental design, including single-variable studies, multivariable studies, and Taguchi experiments.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006682
EISBN: 978-1-62708-213-6
... that the percentage of points on a test grid lying in the phase of interest was equal to the volumetric percentage, that is, P P = V V . These studies have shown that the third method, point counting, is a more efficient method than lineal analysis; that is, it gives the best precision with the least...
Abstract
This article reviews many commonly used stereological counting measurements and the relationships based on these parameters. The discussion covers the processes involved in sampling and specimen preparation. Quantitative microstructural measurements are described including volume fraction, number per unit area, intersections and intercepts per unit length, grain size, and inclusion content.
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003248
EISBN: 978-1-62708-199-3
... length. This is the basis of the Heyn intercept grain-size procedure described in ASTM E 112. For most work, a circular test grid composed of three concentric circles with a total line length of 500 mm is preferred. Grain size is defined by the mean lineal intercept length, l : (Eq 4) l = 1...
Abstract
Quantifying microstructural parameters has received considerable attention and success in developing procedures and using such data to develop structure/property relationships has been achieved. This article reviews many of the simple stereological counting measurements of volume fraction, grain structure (two-phase grain structures, and nonequiaxed grain structures), grain size, and inclusion content. It also reviews simple relationships between number of grains per unit area, number of intersections of a line of known length with particle or grain, and number of interceptions of particles or grains by a line of known length.
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006801
EISBN: 978-1-62708-329-4
... areas is used to establish initial dimensions from which forming strains are measured. Circle grid strain analysis uses a grid of circles having a diameter of typically either 2.5 or 5.0 mm (0.1 or 0.2 in.). Calibrated polyester film strips are available to directly measure strains on deformed...
Abstract
Sheet forming failures divert resources from normal business activities and have significant bottom-line impact. This article focuses on the formation, causes, and limitations of four primary categories of sheet forming failures, namely necks, fractures/splits/cracks, wrinkles/loose metal, and springback/dimensional. It discusses the processes involved in analytical tools that aid in characterizing the state of a formed part. In addition, information on draw panel analysis and troubleshooting of sheet forming failures is also provided.
Book Chapter
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005233
EISBN: 978-1-62708-187-0
... into nonoverlapping cells, a process known as discretization, and generating an array of cells, referred to as a grid or mesh. This article introduces the discretization techniques used by finite-difference, finite-volume, and finite-element methods of numerical analysis. The discrete equations of the finite...
Abstract
Computational fluid dynamics (CFD) is one of the tools available for understanding and predicting the performance of thermal-fluids systems. This article qualitatively describes the basic principles of CFD. The numerical methods, such as geometry description and discretization, used to solve the CFD equations are discussed. The article also demonstrates the application of CFD to a few casting problems.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003758
EISBN: 978-1-62708-177-1
... that hit the analyzed phase and all the points of a test grid. Sometimes, novices in image analysis try to use a grid of points overlying the image in order to reproduce the classical, stereological solution. This is obviously not necessary, and one should simply count (in a binary image) all...
Abstract
This article reviews the essential parts of the complex process of quantitative image analysis to assist automatic image analysis in laboratories. It describes the basic difference between the bias of classical manual stereological analysis and quantitative image analysis. The article concentrates on the basic properties of digital measurements that are the core of quantitative image analysis. It provides a brief description of the specimen and apparatus preparation as well as the image acquisition. The article explains how to evaluate stereological parameters and provides the general rules and guidelines for optimization of image processing algorithms from the viewpoint of shape quantification. It concludes with examples that demonstrate the usefulness of automatic image analysis in comparison to manual methods.
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
... analysis on split, gridded specimens ( Fig. 42 ), the strain and stresses at the center of the workpiece were calculated for several increments of deformation. The hydrostatic stress state at the center of the specimen is not always tensile; initially, it is compressive, and then it reverses, becoming...
Abstract
This article focuses on the effects of mechanical plasticity on workability; that is, process control of localized stress and strain conditions to enhance workability. It describes the nature of local stress and strain states in bulk forming processes, leading to a classification scheme, including testing procedures and specific process measurements, that facilitate the application of workability concepts. Using examples, the article applies these concepts to forging, rolling, and extrusion processes. The stress and strain environments described in the article suggest that a workability test should be capable of subjecting the material to a variety of surface strain combinations. By providing insights on fracture criteria, these tests can be used as tools for troubleshooting fracture problems in existing processes, as well as in the process development for new product designs.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005150
EISBN: 978-1-62708-186-3
... ksi), which is only slightly more than the 350 MPa (51 ksi) desired. Note that the line of analysis of the hood centerline and its normal direction may or may not be identical to the major/minor strain axis determined from actual circle grid measurements or the output of a simulation. The target...
Abstract
This article describes grade designations of the various sheet steels used for draw forming. It discusses the specifications associated with most sheet draw forming materials. The article examines the behavior of stress- and strain-based forming limit curve (FLC). It provides a discussion on three separate frictional conditions acting in a draw die. The frictional conditions include the metal passing through a draw bead, the metal clamped in the binder, and the metal sliding across a die radius. The article also explains the basic steps in the vehicle development process. The steps involved in the thought process of direct engineering for formability are also explained. The article places considerable emphasis on the need for the designer to clearly define the die/tooling faces in the computer-aided design (CAD)/computer-aided manufacturing (CAM) system before the data are passed on to the construction functions.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003258
EISBN: 978-1-62708-176-4
... 1 , 2 , 3 , 4 , 5 , 12 ). In this test, sheets of different widths are marked with a grid pattern of circles, using chemical etching or photoprinting techniques. The specimens are then clamped over a fixture using draw beads (to prevent the sheet for being drawn in) and are stretched...
Abstract
An important activity in metalworking facilities is the testing of raw materials for characteristics that ensure the integrity and quality of the products made. This article reviews the common material parameters that can have a direct or indirect influence on workability and product quality. These include strength, ductility, hardness, strain-hardening exponent, strain-rate effects, temperature effects, and hydrostatic pressure effects. The article also reviews the material behavior characteristics typically determined by mechanical testing methods. It discusses various mechanical testing methods, including the tension test, plane-strain tension test, compression test, plane-strain compression test, partial-width indentation test, and torsion test. Aspects of testing particularly relevant to workability and quality control for metalworking processes are also described. Finally, the article details the various factors influencing workability in bulk deformation processes and formability in sheet-metal forming.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003759
EISBN: 978-1-62708-177-1
... in the disciplines of stochastic geometry ( Ref 1 ), integral geometry and global analysis ( Ref 2 ), and differential geometry ( Ref 3 ). The stereological methods are completely general, and therefore they are also applicable to microstructures encountered in many other disciplines, including biology ( Ref 4...
Abstract
The objective of quantitative metallography/stereology is to describe the geometric characteristics of the features. This article discusses the geometric attributes of microstructural features that can be divided into: the numerical extents and the number density of microstructural features; derived microstructural properties; feature specific size, shape, and orientation distributions; and descriptors of microstructural spatial clustering and correlations. It emphasizes on the practical aspects of the measurement techniques and applications. The article also provides information on the quantitative metallographic methods for estimation of volume fraction, total surface area per unit volume, and total length of per unit volume.
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006568
EISBN: 978-1-62708-290-7
... and compacting the powder in the serrated base shear cell, to measure the maximum shear stresses for a given consolidation or normal stress. Following the data analysis method ( Fig. 6 ) outlined in ASTM International standard D 7891-15, the parameters obtained and interpreted are: Angle of internal...
Abstract
Powder-bed additive manufacturing (AM) processes are some of the most commonly used techniques, necessitating the accurate measurement of powder flowability properties. This article discusses some powder flow tests that occur in powder-bed AM machines. These include the Hall/Carney flow test, bulk/tap density, rheometer, and the revolving or rotating drum technique. The three categories of powder properties that are available from rheometer experiments are discussed: bulk, dynamic flow, and shear properties. The article also describes the basic principles and applications of micro-X-ray computed tomography in studying powder porosity characteristics nondestructively.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005151
EISBN: 978-1-62708-186-3
..., empirical methods were used to provide the relationship between acceptable formability and strain state. Perhaps the best known of these is circle grid analysis (CGA). The CGA technique was used with controlled tests forming domes, cylindrical cups, and so on and special tensile tests to determine limiting...
Abstract
This article focuses on the technology breakthroughs that make forming simulation a routine work throughout the industry. It discusses many forms of the computer-aided engineering (CAE) methodology. The article describes several failure criteria to predict the failure of sheet metal. It explains the numerical procedure for sheet metal forming and reviews the important technical issues in CAE simulations. The article provides information on the applications and process of metal-forming simulation. It also reviews the capabilities of major systems that are popular among sheet metal forming users worldwide.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003241
EISBN: 978-1-62708-199-3
... scale, an analysis should be made of those factors that influence the selection of the proper scale. These influencing factors are found in the following four broad categories: Type of work metal Thickness of work metal Width of area to be tested Scale limitation Influence of Type...
Abstract
This article reviews the various types of mechanical testing methods, including hardness testing; tension testing; compression testing; dynamic fracture testing; fracture toughness testing; fatigue life testing; fatigue crack growth testing; and creep, stress-rupture, and stress-relaxation testing. Shear testing, torsion testing, and formability testing are also discussed. The discussion of tension testing includes information about stress-strain curves and the properties described by them.
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006546
EISBN: 978-1-62708-290-7
... of effort ( Ref 3 ). Finite - element analysis software capable of simulating fluid flow is required for MEX deposition modeling. Watanabe et al. ( Ref 4 ) captured thermal processes experienced during material deposition by using ANSYS Polyflow and ANSYS Mechanical simulation software, wherein...
Abstract
This article focuses on four industrial additive manufacturing approaches that are used to create polymer parts. The first section focuses on material extrusion, providing information on lumped-parameter material flow models and higher-fidelity models developed to estimate temperature distribution. The second section covers polymer powder-bed sintering/ fusion, discussing the different levels of scale used to address modeling and the impact of process settings: thermodynamics at the powder-bed surface, consolidation of adjacent particles in the fusion process, and fusion and molecular-level behavior within particles. The third section on vat photopolymerization (VPP) discusses two primary approaches to modeling VPP processes, namely a lumped-parameter approach to estimate cured regions in the vat, known as the Jacobs model, and a high-fidelity, continuum approach that uses finite-element methods. The final section is devoted to material jetting, focusing on simulations used to study droplet generation at the nozzle and droplet impact.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001769
EISBN: 978-1-62708-178-8
... surface energy and are less stable than singular surfaces because of the larger number of broken bonds per unit area. Fig. 1 Singular (a) and vicinal (b) surfaces of a cubic lattice. The solid circles represent atoms having missing nearest-neighbor bonds. The dashed line defines the surface...
Abstract
Low-energy electron diffraction (LEED) is a technique for investigating the crystallography of surfaces and overlayers adsorbed on surfaces. This article describes the principles of diffraction from surfaces, and elucidates the method of sample preparation to achieve diffraction patterns. The article describes the limitations of surface sensitive electron diffraction and discusses the applications of LEED with examples.
Book Chapter
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005454
EISBN: 978-1-62708-196-2
... an integral product. to as oil canning. Distortion of a flat or nearly sheet metal blank. flat metal surface that can be deflected by cogging. The reducing operation in working an finger pressure but will return to its original circle-grid analysis. The analysis of deformed ingot into a billet with a forging...
Book Chapter
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004031
EISBN: 978-1-62708-185-6
..., or semiviscous materials circle-grid analysis. The analysis of deformed cold coined forging. A forging that has been (which do not fail in compression by a shat- circles to determine the severity with which a restruck cold in order to hold closer face dis- tering fracture), the value obtained for com- sheet...
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