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relaxation time
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Image
Published: 01 January 1990
Fig. 12 Effect of time and temperature on the relaxation of ten-turn helical springs made from (a) music wire per ASTM A 228 and (b) 420 and 431 stainless steel wire. Wire diameter, 2.69 mm (0.106 in.); spring diameter, 25.4 mm (1.00 in.); free length, 76.2 mm (3.00 in.). Stresses were
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Image
Published: 01 October 2014
Fig. 8 Effects of the stress-relieving temperature and time at relaxation temperature on the residual stress in a high-strength gray iron containing alloys that assist in retaining strength at elevated temperatures. Courtesy of the American Foundry Society. Source: Ref 7
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Published: 31 August 2017
Fig. 8 Effects of the stress-relieving temperature and time at relaxation temperature on the residual stress in a high-strength gray iron containing alloys that assist in retaining strength at elevated temperatures. Courtesy of the American Foundry Society. Source: Ref 10
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Image
Published: 01 January 1997
Fig. 31 Comparison of predicted time to 0.5% creep based on stress-relaxation measurements at 650 °C (1200 °F) for an austenitic iron-base alloy with measurements made on conventional creep tests. SRT, stress-relaxation tests
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Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001750
EISBN: 978-1-62708-178-8
... electrons to return to equilibrium from their resonant state. Two of the most common methods for measuring this relaxation time are presented as are several application examples. crystallographic anisotropy electron spin ESR magnetic resonance paramagnetic resonance relaxation time Overview...
Abstract
Electron spin resonance (ESR), or electron paramagnetic resonance (EPR), is an analytical technique that can extract a great deal of information from any material containing unpaired electrons. This article explains how ESR works and where it applies in materials characterization. It describes a typical ESR spectrometer and explains how to tune it to optimize critical electromagnetic interactions in the test sample. It also identifies compounds and elements most suited for ESR analysis and explains how to extract supplementary information from test samples based on the time it takes electrons to return to equilibrium from their resonant state. Two of the most common methods for measuring this relaxation time are presented as are several application examples.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003435
EISBN: 978-1-62708-195-5
... that are attached to polymer-backbone molecules will rotate to align themselves with the field. The time required for dipoles to align fully with the field is a characteristic of the dipole mobility and is referred to as the relaxation time, τ. The relaxation time is influenced by the following factors: temperature...
Abstract
This article discusses the attempts made by the industry to create sensing approaches for modeling a process, part, and chemistry and kinetics. It reviews microwave curing of thick-section composites and the resin cure sensors that are used for resin cure monitoring. These include dielectric cure sensors, fiberoptics-based resin cure sensors, ultrasonics-based resin cure sensors, and dosimetry-based resin cure sensors. The article provides information on the resin cure control flow sensing, flow modeling, flow mapping, and resin flow. It addresses some practical issues in sensing resin cure and flow.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001752
EISBN: 978-1-62708-178-8
... as the Knight shift. In many metals, the Knight shift arises primarily from the conduction electron paramagnetism. Relaxation times are also determined by the electrons at the Fermi level, which induce nuclear spin flips. In magnetically ordered materials, an internal magnetic field can be measured...
Abstract
Nuclear magnetic resonance (NMR) is a form of radio frequency spectroscopy based on interactions between nuclear magnetic dipole or electric quadrupole moments and an applied magnetic field or electric-field gradient. This article provides an overview of the fundamental principles of nuclear magnetic resonance with emphasis on nuclei properties, the basic equation of nuclear magnetic resonance, the classical theory of nuclear magnetization, line broadening, and measurement sensitivity. It describes the pulse-echo method for observing NMR. The article provides useful information on ferromagnetic nuclear resonance and nuclear quadrupole resonance, and illustrates the experimental arrangement of NMR with a block diagram. It also presents several application examples.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006934
EISBN: 978-1-62708-395-9
... method, one of the most common to describe the material deformation and rupture time, is also discussed. Burgers power-law model creep failure Findley power-law model Larson-Miller parametric method material deformation polymers rupture time service life stress relaxation time-stress...
Abstract
This article describes the general aspects of creep, stress relaxation, and yielding for homogeneous polymers. It then presents creep failure mechanisms in polymers. The article discusses extrapolative methods for the prediction of long-term creep failure in polymer materials. Then, the widely used models to simulate the service life of polymers are highlighted. These include the Burgers power-law model, the Findley power-law model, the time-temperature superposition (or equivalence) principle (TTSP), and the time-stress superposition principle (TSSP). The Larson-Miller parametric method, one of the most common to describe the material deformation and rupture time, is also discussed.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006941
EISBN: 978-1-62708-395-9
... to zero in the same nearly instantaneous time. A viscoelastic material would behave in a manner such that the initial stress is realized, but reduced as a function of time that is neither constant nor instantaneous. As such, stress relaxation behavior may be generalized as: (Eq 5) σ ( t...
Abstract
This article describes the viscoelastic behavior of plastics in their solid state only, from the standpoint of the material deforming without fracturing. The consequences of viscoelasticity on the mechanical properties of plastics are described, especially in terms of time-dependencies, as well as the dependence of the viscoelastic character of a plastic on chemical, physical, and compositional variables. By examining the viscoelastic behavior of plastics, the information obtained are then applied in situations in which it may be important to anticipate the long-term properties of a material. This includes assessing the extent of stress decay in materials that are pre-stressed, the noise and vibration transmission characteristics of a material, the amount of heat build-up in a material subjected to cyclic deformation, and the extent a material can recover from any prior deformation. Several qualitative graphs are presented, which highlights the possible differences in the viscoelastic behavior that can exist among plastics.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002477
EISBN: 978-1-62708-194-8
... in this article. Simple tools and techniques for predicting part performance (stiffness, strength/impact, creep/stress relaxation and fatigue) integrated with manufacturing concerns (flow length and cycle time) are demonstrated for design and material selection. Engineering plastics are now used...
Abstract
The key to any successful part development is the proper choice of material, process, and design matched to the part performance requirements. Understanding the true effects of time, temperature, and rate of loading on material performance can make the difference between a successful application and catastrophic failure. This article provides examples of reliable material performance indicators and common practices to avoid failure. Simple tools and techniques for predicting part mechanical performance integrated with manufacturing concerns, such as flow length and cycle time, are demonstrated. The article describes the prediction of mechanical part performance for stiffness, strength/impact, creep/stress relaxation, and fatigue.
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005913
EISBN: 978-1-62708-167-2
... the influence of temperature. The typical time between two flips is called the Néel relaxation time. In the absence of an external magnetic field, when the time used to measure the magnetization of the nanoparticles is much longer than the Néel relaxation time, their magnetization appears to be in average zero...
Abstract
Hyperthermia is a type of cancer treatment that requires directing a carefully controlled dose of heated nanoparticles to the cancerous tumor that leads to the destruction of cancer cells. Nanoparticles are used as the heat generating sources within the cancer cells and the tumors. The problem in controlling the temperature of nanoparticles is solved by the use of induction heating, which uses a high-frequency alternating magnetic field localized in the area of interest. This article provides an overview of this technique along with the description of its major components, namely, nanoparticles, induction heating setup, and magnetic field strength.
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006807
EISBN: 978-1-62708-329-4
... creep testing and remaining-life assessment, and pressure vessel time-dependent stress analysis showing the effect of stress relaxation at hot spots. creep curve creep testing elevated-temperature life assessment heater tubes high-temperature components hydrogen attacks remaining-life...
Abstract
This article provides some new developments in elevated-temperature and life assessments. It is aimed at providing an overview of the damage mechanisms of concern, with a focus on creep, and the methodologies for design and in-service assessment of components operating at elevated temperatures. The article describes the stages of the creep curve, discusses processes involved in the extrapolation of creep data, and summarizes notable creep constitutive models and continuum damage mechanics models. It demonstrates the effects of stress relaxation and redistribution on the remaining life and discusses the Monkman-Grant relationship and multiaxiality. The article further provides information on high-temperature metallurgical changes and high-temperature hydrogen attack and the steps involved in the remaining-life prediction of high-temperature components. It presents case studies on heater tube creep testing and remaining-life assessment, and pressure vessel time-dependent stress analysis showing the effect of stress relaxation at hot spots.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006932
EISBN: 978-1-62708-395-9
... are further determined by m = HL /(thermal diffusivity), where m is the dimensionless Biot number, H is a convective heat-transfer coefficient, and 2 L is the sample thickness. To simplify the model, the researcher neglected time-temperature effects on mechanical properties, volume relaxation...
Abstract
Engineering plastics, as a general class of materials, are prone to the development of internal stresses which arise during processing or during servicing when parts are exposed to environments that impose deformation and/or temperature extremes. Thermal stresses are largely a consequence of high coefficients of thermal expansion and low thermal diffusivities. Although time-consuming techniques can be used to analyze thermal stresses, several useful qualitative tests are described in this article. The classification of internal stresses in plastic parts is covered. The article describes the effects of low thermal diffusivity and high thermal expansion properties, and the variation of mechanical properties with temperature. It discusses the combined effects of thermal stresses and orientation that result from processing conditions. The article also describes the effect of aging on properties of plastics. It explains the use of high-modulus graphite fibers in amorphous polymers.
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003290
EISBN: 978-1-62708-176-4
..., but since the total strain is held constant, this can only be achieved if the elastic strain decreases with a corresponding decrease in the stress. Creep at a fixed total strain, therefore, results in a time dependent stress relaxation. A common practical example where stress relaxation is a major...
Abstract
This article discusses stress relaxation testing on metallic materials, as covered by ASTM E 328. It reviews the two types of stress relaxation tests performed in tension, long-term and accelerated testing. The article illustrates load characteristics and data representation for stress relaxation testing used for the most convenient and common uniaxial tensile test. It concludes with information on compression testing, bend testing, torsion testing, and tests on springs.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003136
EISBN: 978-1-62708-199-3
... stress is applied to a piece of metal, it reacts by developing an equal and opposite internal stress. If the metal is held in this strained position, the internal stress will decrease as a function of time. This phenomenon is called stress relaxation and happens because of the transformation of elastic...
Abstract
Copper and copper alloys are used extensively in structural applications in which they are subject to moderately elevated temperatures. At relatively low operating temperatures, these alloys can undergo thermal softening or stress relaxation, which can lead to service failures. This article is a collection of curves and tables that present data on thermal softening and stress-relaxation in copper and copper alloys. Thermal softening occurs over extended periods at temperatures lower than those inducing recrystallization in commercial heat treatments. Stress relaxation occurs because of the transformation of elastic strain in the material to plastic, or permanent strain.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003024
EISBN: 978-1-62708-200-6
... in conjunction with the elementary facts about molecular relaxation times, the experimenter has a framework against which any mechanical test procedure can be set, and when there are experimentation options, the most appropriate one can be chosen. There are regions in which a property such as modulus is not very...
Abstract
This article discusses the deformation and viscoelastic characteristics of plastics as polymeric materials, focusing on the test methods used for the evaluation of their mechanical properties, methods available for analytically predicting the deformation response of polymers, and the effect of viscoelasticity on the test methods used. Two common ways of evaluating viscoelasticity of plastics are by means of creep experiments and dynamic mechanical experiments. Graphic or tabular analysis of test data, time-temperature superposition, and empirical correlation methods are commonly employed for analytical prediction of deformation characteristics of polymers.
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005133
EISBN: 978-1-62708-186-3
... to the specimen, and the variation in load with time is studied. During creep tests, a fixed load is applied to the specimen, and the variation of strain with time is studied. Both types of tests generate equivalent information. A typical stress relaxation curve is shown in Fig. 4 . During a fixed...
Abstract
Compared to cold-formed parts, age-formed parts have lower residual stresses and consequently better stress corrosion resistance. This article addresses the technical issues that arise in the investigations of creep in precipitate-strengthened materials. The issues addressed help in developing alloys and tempers particularly suited for the age-forming process. The different steps involved in the program for predicting the final part shape are discussed. These basic steps involve developing mechanical tests to study creep at low temperatures and low stresses, describing low-temperature creep in terms of a constitutive model, and then using the constitutive model in a process model or finite element analysis to predict the final part shape.
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005506
EISBN: 978-1-62708-197-9
...; the only difference is what boundary condition is prescribed and what response is observed or measured. In a stress-relaxation test, an applied displacement is prescribed, and a decreasing load (or stress) is observed with time. In a creep test, an applied load (or stress) is prescribed, and an increasing...
Abstract
This article summarizes many approaches that are used to simulate relaxation of bulk residual stresses in components. It presents analytical examples to highlight the complexity of residual stress and strain distributions observed in simple geometries, with ideal material behavior and trivial loading and boundary conditions. The article discusses approximate and advanced solution techniques that can be employed in practice for simulation of residual stress relief: finite-difference method and finite-element method. It also describes advanced techniques applicable to transient creep, advanced constitutive models, and complicated stress and temperature loading histories.
Image
Published: 01 January 1997
Fig. 31 The variation of the relaxation drop with cycles for a test with a strain range of 3% and a hold time of 100 min. Material A6; push-pull test. Dwell time: 42 cycles at 100 min. E t = 1.49%. Source: Ref 70
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Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002472
EISBN: 978-1-62708-194-8
... to a distribution of internal stresses that may relax on removal of the stress. This relaxation leads to a time-dependent contraction in addition to the elastic contraction and results in the phenomenon of creep recovery illustrated in Fig. 3 . In polymers this phenomenon, which may account for nearly all...
Abstract
This article reviews the basic mechanisms of elevated-temperature behavior and associated design considerations, with an emphasis on metals. It discusses the key concepts of elevated-temperature design. These include plastic instability at elevated temperatures; deformation mechanisms and strain components associated with creep processes; stress and temperature dependence; fracture at elevated temperatures; and environmental effects. The article describes the basic presentation and analysis methods for creep rupture. It provides information on the application of these methods to materials selection and the setting of basic design rules. The article examines the limitations of high-temperature components as well as the alternative design approaches and tests for most high-temperature components.
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