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Bauschinger effect
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Published: 01 January 2002
Fig. 26 Bauschinger effect. The softening effect is exaggerated for clarity. σ F , forward stress; σ R , reverse stress; σ B , backward stress
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Published: 15 January 2021
Fig. 22 Bauschinger effect. The softening effect is exaggerated for clarity. σ F , forward stress; σ R , reverse stress; σ B , backward stress
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in Deformation and Recrystallization of Titanium and Its Alloys[1]
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 13 Bauschinger effect. Curves show the effect of tensile strain on the compressive yield strength (Bauschinger effect) of solution-treated plus strained Ti-6Al-4V sheet and after subsequent aging.
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Published: 01 January 1996
Fig. 6 Schematic of: (a) memory of a prior deformation and (b) Bauschinger effect with softening exaggerated for clarity. The hysteresis loop in (b) shows that on unloading, plastic deformation begins at a lower backward stress, σ B , than reached in the forward direction, σ F . The initial
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Published: 01 January 2000
Fig. 6 Example of the Bauschinger effect and hysteresis loop in tension-compression-tension loading. This example shows initial tension loading to 1% strain, followed by compression loading to 1% strain, and then a second tension loading to 1% strain.
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Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005146
EISBN: 978-1-62708-186-3
... Abstract This article describes different types of titanium alloys, including alloy Ti-6Al-4V, alpha and near-alpha alloys, and alpha-beta alloys. It explains the formability of titanium alloys with an emphasis on the Bauschinger effect. The article provides information on the tool materials...
Abstract
This article describes different types of titanium alloys, including alloy Ti-6Al-4V, alpha and near-alpha alloys, and alpha-beta alloys. It explains the formability of titanium alloys with an emphasis on the Bauschinger effect. The article provides information on the tool materials and lubricants used in the forming process. It provides information on the cold and hot forming, superplastic forming, and combination of superplastic forming/diffusion bonding. The article discusses the various forming processes of these titanium alloys, including press-brake forming, power (shear) spinning, rubber-pad forming, stretch forming, contour roll forming, creep forming, vacuum forming, drop hammer forming, joggling, and explosive forming.
Image
Published: 01 January 2006
Fig. 4 Schematics showing two types of hysteresis stress-strain loops resulting from the Bauschinger effect in titanium alloys. Source: Ref 12
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Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003141
EISBN: 978-1-62708-199-3
... deformation and actual temperature during forming. Titanium metals also tend to creep at elevated temperature; holding under load at the forming temperature (creep forming) is another alternative for achieving the desired shape without having to compensate for extensive springback. Bauschinger Effect...
Abstract
Titanium metal passes through three major steps during processing from ore to finished product: reduction of titanium ore to sponge (porous form), melting of sponge and scrap to form ingot, and remelting and casting into finished shape. This article describes primary fabrication, including all operations that convert ingot into general mill products, such as billet, bar, plate, sheet, strip, tube, and wire. The section on secondary fabrication describes processes such as die forging, extrusion, hot and cold forming, machining, chemical milling, and joining. The article presents a short note on powder metallurgy products of titanium. Casting processes and properties are covered in the final section.
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006271
EISBN: 978-1-62708-169-6
... are material parameters dependent on cooling rate and quenching finish temperature. By this model, any flow curve can be described in the investigated cooling rate and temperature range. This flow curve model has been incorporated into the heat treatment simulation. Bauschinger Effect Due...
Abstract
Heat treatment simulation helps to predict heat treatment results such as component microstructures, properties, residual stresses, and distortion, and thereby assists in reducing experimental effort in defining heat treatment parameters. This article discusses the modeling and simulation of age hardening as being the most important heat treatment to strengthen aluminum alloys. It provides information on the heat treatment simulation model, the yield strength model based on the responsible strengthening mechanisms, and the flow curve model based on mechanical tests. The article also discusses simulation of the quenching process, and provides examples for aluminum quenching simulation.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003297
EISBN: 978-1-62708-176-4
... pulse ( Ref 7 ). This technique permits the study of the Bauschinger effect and the strain-rate history effects on the mechanical properties and microstructural evolution of materials under various dynamic loading conditions ( Ref 8 , 9 ). The dynamic tests of hard materials (e.g., ceramics...
Abstract
This article illustrates the momentum-trapping scheme in the incident bar and stress-reversal technique which is used to change the strain rate during the course of Hopkinson bar compression or tension experiments. It describes techniques to recover the sample after it has been subjected to a cycle of compression followed by tension or tension followed by compression with illustrations. The article provides information on the recovery dynamic testing of hard materials such as ceramics and ceramic composites and explains high-temperature dynamic recovery tests. The recovery of the sample that has been subjected to a single stress pulse allows a number of interesting applications, a few of which are reviewed.
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006282
EISBN: 978-1-62708-169-6
... content and the corresponding amount of β phase. Strain Effects The ability to readily form a part is important; however, one must consider the effect of such forming (plastic deformation) on the properties of the workpiece. The most often analyzed effect of forming is the Bauschinger effect...
Abstract
This article provides an in-depth treatment on the deformation and recrystallization of titanium alloys. It provides information on the predominant mode of plastic deformation that occurs in titanium in terms of the most common crystallographic planes. The article explains the relationship of the recovery process to the recrystallization, grain-growth process, and the effects of time and temperature on stress relief. It describes the factors that influence the rate of recrystallization and the conditions required for neocrystallization to occur. The article explains the mechanism of strain hardening and its effects on the mechanical properties of titanium alloys. It also discusses the factors that influence the superplasticity of titanium alloys.
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
... on yielding. Experiments conducted at high confinement pressure showed that, although very small, a pressure effect is quantifiable ( Ref 2 , 3 ). However, practically, this effect can be neglected for aluminum alloys at low confinement pressure. A feature common in aluminum alloys is the Bauschinger effect...
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.
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002354
EISBN: 978-1-62708-193-1
... deformation to take place. Fig. 6 Schematic of: (a) memory of a prior deformation and (b) Bauschinger effect with softening exaggerated for clarity. The hysteresis loop in (b) shows that on unloading, plastic deformation begins at a lower backward stress, σ B , than reached in the forward direction, σ...
Abstract
This article discusses the microstructural processes that take place during plastic deformation and presents a plain phenomenological and general description of the cyclic stress-strain (CSS) response. It emphasizes the microstructural aspects of cyclic loading on single-phase materials tested in initially soft, dislocation-poor conditions resulting from a prior heat treatment. The article discusses deformation-induced phase transformations in austenitic stainless steels and commercial age-hardened aluminum alloys. It describes the interaction of dislocations and the strengthening of second-phase particles. The article also provides a description of the framework used to model the CSS response on a physical basis.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002459
EISBN: 978-1-62708-194-8
... hysteresis (Bauschinger effect) was studied in the 1880s. All of this work on the mechanical behavior of materials predated analysis of the internal structure of materials. Readers desiring detailed information on the subject of mechanical testing may consult Ref 17 and 18 . The modern era...
Abstract
Materials are selected and used as a result of a match between their properties and the needs dictated by the intended application. This article provides information on how the composition and structure determine the properties of materials. It describes common structural elements that are most important in materials. The article presents a historical perspective of the use of materials and illustrates the evolution of engineering materials.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003262
EISBN: 978-1-62708-176-4
... stress-strain relationship applies to all fibers with r ≥ R n . As a result, the distinction among R n , R u , and R c becomes inconsequential. This eliminates the complicated task of describing the behavior of fibers in reversed loading and the Bauschinger effect. The state of stress...
Abstract
A characteristic feature of bending is the inhomogeneous (nonuniform) nature of the deformation. Therefore, in a bent specimen, the strain and stress at a given point are dependent on the location of the point with respect to the neutral axis of the cross-sectional area of the specimen. This article discusses the stress-strain relationships, strain curvature, and stress-moment equations for elastic, noncylindrical, elastic-plastic, and pure plastic bending conditions. It also reviews the distribution of residual stress and springback.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003264
EISBN: 978-1-62708-176-4
..., the properties obtained are probably not representative of the original properties of the material. Bauschinger Effect The other loading condition occurs when the test piece is initially loaded in compression beyond the elastic limit and then unloaded. The unload path is parallel to the initial load path...
Abstract
THE TENSION TEST is one of the most commonly used tests for evaluating materials. The material characteristics obtained from tension tests are used for quality control in production, for ranking performance of structural materials, for evaluation of alloys, and for dealing with the static-strength requirements of design. This article describes the stress-strain behavior during a tension test and provides the definition of terms such as stress, force, strain, and elongation. It explains the tensile properties obtained from the test results: the tensile strength and yield strength, which includes offset yield strength, extension-under-load yield strength, and upper yield strength. The article concludes with a description of the general procedures for conducting the tension test based on ASTM standards and the variability of tensile properties.
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006819
EISBN: 978-1-62708-329-4
... ). In the mid-1800s, Wohler conducted experiments to establish a safe alternating stress below which failure would not occur in full-scale railroad axles and smaller laboratory specimens to establish the endurance-limit concept for design ( Ref 6 ). In the late 1800s, Bauschinger studied the relationship...
Abstract
This article offers an overview of fatigue fundamentals, common fatigue terminology, and examples of damage morphology. It presents a summary of relevant engineering mechanics, cyclic plasticity principles, and perspective on the modern design by analysis (DBA) techniques. The article reviews fatigue assessment methods incorporated in international design and post construction codes and standards, with special emphasis on evaluating welds. Specifically, the stress-life approach, the strain-life approach, and the fracture mechanics (crack growth) approach are described. An overview of high-cycle welded fatigue methods, cycle-counting techniques, and a discussion on ratcheting are also offered. A historical synopsis of fatigue technology advancements and commentary on component design and fabrication strategies to mitigate fatigue damage and improve damage tolerance are provided. Finally, the article presents practical fatigue assessment case studies of in-service equipment (pressure vessels) that employ DBA methods.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005183
EISBN: 978-1-62708-186-3
..., because this is preceded by a fairly large amount of anelastic strain (corresponding nearly to a stress change of 2 g *), both internal and applied stress curves in the plastic regime are below the corresponding curves had there been no reverse anelastic strain. Thus, Bauschinger effect is incorporated...
Abstract
Constitutive relations for metal-working include elements of behavior at ambient temperature as well as high-temperature response. This article presents the equations for the strain hardening and strain-rate-sensitive flow, with alternate sections on empirically determined properties, followed by models of constitutive behavior. These models include the isothermal constitutive model and the physical model for superplastic flow. A formal description of the superposition of the operative mechanisms for dynamic recovery at hot-working strain rates is also provided. The article describes creep mechanisms that are useful for illustrating the strong stress dependence of dislocation and diffusional flow.
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004020
EISBN: 978-1-62708-185-6
... in the plastic regime are below the corresponding curves had there been no reverse anelastic strain. Thus, Bauschinger effect is incorporated into the model through microplastic strain. In precipitation-hardening materials, the dislocation loops formed around precipitates provide a larger number of dislocations...
Abstract
The constitutive relations for metalworking include elements of behavior at ambient temperature as well as high-temperature response. This article presents equations for strain hardening and strain-rate-sensitive flow, with alternate sections on empirically determined properties, followed by the models of constitutive behavior. It provides a discussion on creep mechanisms involving dislocation and diffusional flow, such as the Nabarro-Herring creep and the Coble creep. The equations for the several creep rates are also presented. Research on the mechanism of the superplastic flow in fine-grain metals has encompassed many ideas, such as the diffusional creep, dislocation creep with diffusional accommodation at grain boundaries, and concepts of grain-mantle deformation. The article concludes with information on the kinetics of superplastic deformation processes, including low stress behavior, concurrent grain growth, and high stress behavior.
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005947
EISBN: 978-1-62708-166-5
..., an evaluation of the bending direction would provide additional hints as to the reason for bending. Example 2 describes a technique to determine a bending vector that includes the classic modulus and the direction. Example 3 provides an idea of how various effects on shape changes can be separated...
Abstract
Dimensional and shape changes caused by heat treatment have been the subject of scientific and industrial research for a very long time. This article provides an overview of the complexity of distortion and stress generation during heat treatment of steels. It discusses the measurement and evaluation of dimensional and shape changes with examples. The article describes the mechanisms at work during the generation of stresses and distortion during heat treatment. A hypothetical experiment with increasing application to real life is used to develop a systematization of unavoidable size and shape changes. The article also provides information on the carriers of distortion potential that cause measureable size and shape changes.
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