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elastic plastic deformation
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Image
Published: 01 December 2006
Fig. 4.30 Lattice structure during deformation. (a) Elastic deformation. (b) Plastic deformation
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Image
Published: 01 December 2004
Fig. 5 Elastic and plastic deformation of a wire with the fingers. With small forces (top), all of the bending is elastic and disappears when the force is released. With greater forces (below), some of the bending is recoverable (elastic), but most of the bending is not recovered (is plastic
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Image
Published: 01 October 2011
Fig. 12 Plastic (remaining) and elastic deformation for the hardness test according to HRC and steel test pieces. Source: Ref 1
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ems.t53730023
EISBN: 978-1-62708-283-9
..., plastic deformation, ductility, hardness, creep, fatigue, and fracture. It also describes the primary components of a Charpy impact tester and the role they serve. creep ductility elasticity fatigue fracture failure hardness impact test plastic deformation strain stress tension test...
Abstract
The mechanical behavior of a material, in the most practical sense, is how it deforms or breaks under load; in other words, how it responds when stressed. This chapter provides a brief review of the properties associated with mechanical behavior, including stress, strain, elasticity, plastic deformation, ductility, hardness, creep, fatigue, and fracture. It also describes the primary components of a Charpy impact tester and the role they serve.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630013
EISBN: 978-1-62708-270-9
... Abstract This chapter focuses on some of the facts of mechanical properties of metals that must be understood to successfully undertake the task of failure analysis. The discussion begins by describing the causes and effects of elastic and plastic deformation followed by a section describing...
Abstract
This chapter focuses on some of the facts of mechanical properties of metals that must be understood to successfully undertake the task of failure analysis. The discussion begins by describing the causes and effects of elastic and plastic deformation followed by a section describing the effects of temperature variations on mechanical properties, both in tension and in compression. The nonlinear behavior of gray cast iron caused by the graphite flakes is then described. Finally, the effect of stress concentrations on high-strength metals is considered.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.9781627083553
EISBN: 978-1-62708-355-3
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060265
EISBN: 978-1-62708-355-3
.... Separation of a solid accompanied by little or no macroscopic plastic deformation. Typically, brittle fracture occurs by rapid crack propagation with less expenditure of energy than for ductile fracture. bulk modulus. See bulk modulus of elasticity. bulk modulus of elasticity (K). The measure of resistance...
Image
Published: 01 August 2013
Fig. 3.2 Use of the fingers to sense the elastic and plastic response of a wire. With a low force (top) the deformation is entirely elastic and the bending disappears when the force is removed. With greater force (bottom) the elastic portion of the bending disappears when the force is removed
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540281
EISBN: 978-1-62708-309-6
.... Elastic-plastic or fully plastic analysis such as the J -integral approach is used when large-scale yielding occurs. For crack growth at high temperature, under constant load, the material near the crack tip may undergo viscoelastic deformation, or creep. The crack-tip stress field, which takes the basic...
Abstract
Large-scale yielding at the crack tip and time-dependent crack growth mechanisms, such as stress relaxation due to creep, are nonlinear behaviors requiring nonlinear analysis methods. This chapter presents two such methods, one based on elastic-plastic fracture mechanics, the other on time-dependent fracture mechanics. It also introduces two new fracture indices, the J-integral for handling large-scale yielding and the C*-integral for creep crack growth, providing close-form and handbook solutions for each.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610025
EISBN: 978-1-62708-303-4
... factor of safety. With most metals, there is a gradual transition from elastic to plastic behavior, and the point at which plastic deformation actually begins is difficult to define with precision. The transition from elastic to plastic deformation is illustrated in Fig. 6 . When a specimen...
Abstract
This chapter discusses the stress-strain response of materials, how it is measured, and how it used to set performance expectations. It begins by describing the common tensile test and how it sheds light on the elastic design of structures as well as plasticity and fracture behaviors. It explains how engineering and true stress-strain curves differ, how one is used for design and the other for analyzing metal forming operations. It discusses the effect of holes, fillets, and radii on the distribution of stresses and the use of notch tensile testing to detect metallurgical embrittlement. The chapter also covers compression, shear, and torsion testing, the prediction of yielding, residual stress, and hardness.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240201
EISBN: 978-1-62708-251-8
... transition from elastic to plastic behavior, and the point at which plastic deformation actually begins is difficult to define with precision. The transition from elastic to plastic deformation is illustrated in Fig. 12.6 . When a specimen is loaded into the plastic range and then unloaded, the elastic...
Abstract
The mechanical behavior of a material is its response to an applied load or force. Important mechanical properties are strength, hardness, stiffness, and ductility. This chapter discusses three principal ways in which these properties are tested: tension, compression, and shear. Important tensile properties that can be determined by the tensile test include yield strength, ultimate tensile strength, ductility, resilience, and toughness. The chapter describes the effects of stress concentrations on ductile metals under cyclic loads. Other topics covered include combined stresses, yield criteria, and residual stresses of metals.
Image
Published: 30 November 2013
Fig. 1 General stress-strain curve showing elastic and plastic portions of a typical curve. Area marked “Yield” is the area of transition from elastic to plastic deformation. Yield strength, yield point, elastic limit, and proportional limit are all in this area. See Glossary for specific
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Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.htpa.t53310067
EISBN: 978-1-62708-346-1
... in accordance with the Hertzian equations. Stage 2: With the impact, the elastic boundary (flow stress) of the metal is exceeded, plastic deformation sets in, and the impact can no longer be regarded as purely elastic. Plastic deformation of this kind already takes place in the case of very weak impact...
Abstract
In dynamic hardness tests, the test force is applied to the defined indenter in an accelerated way (with a high application rate). Dynamic test methods relate hardness to the elastic response of a material, whereas the classical static indentation tests determine hardness in terms of plastic behavior. This chapter describes the most important and widespread dynamic hardness testing methods. These tests fall into two categories: methods in which the deformation is measured and methods in which the energy is measured. Methods that measure deformation include the Poldi hammer method, the shearing force method, the Baumann hammer method, and the Dynatest method. Methods that measure energy include the Shore method, the Leeb method, and the Nitronic method. The chapter concludes with a discussion of applications of dynamic hardness testing.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 15 June 2021
DOI: 10.31399/asm.tb.mpktmse.t56010001
EISBN: 978-1-62708-384-3
... to determine when yielding begins. It also explains how to determine other properties via tensile tests, including ductility, toughness, and modulus of resilience. elastic modulus extensometers impact strength linear elastic fracture toughness plastic deformation properties Poisson's ratio tensile...
Abstract
Product design requires an understanding of the mechanical properties of materials, much of which is based on tensile testing. This chapter describes how tensile tests are conducted and how to extract useful information from measurement data. It begins with a review of the different types of test equipment used and how they compare in terms of loading force, displacement rate, accuracy, and allowable sample sizes. It then discusses the various ways tensile measurements are plotted and presents examples of each method. It examines a typical load-displacement curve as well as engineering and true stress-strain curves, calling attention to certain points and features and what they reveal about the test sample and, in some cases, the cause of the behavior observed. It explains, for example, why some materials exhibit discontinuous yielding while others do not, and in such cases, how to determine when yielding begins. It also explains how to determine other properties via tensile tests, including ductility, toughness, and modulus of resilience.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 February 2005
DOI: 10.31399/asm.tb.chffa.t51040051
EISBN: 978-1-62708-300-3
... is a law defining the limit of elasticity or the start of plastic deformation under any possible combination of stresses. It can be expressed by f(σ ij ) = C (constant). For isotropic materials, plastic yielding can depend only on the magnitude of the principal stresses; i.e., the yield criteria...
Abstract
This chapter covers the fundamentals of metal flow and the tools and techniques used to predict and control it. It begins by illustrating the local state of stress in a metal cylinder during upset forging and showing how stress components can be expressed in matrix form. It then explains how to determine the onset of yielding, which corresponds to the start of plastic deformation and the flow of metal within the workpiece. The chapter then goes on to present two important yield criteria, one based on shear stress (Tresca criterion), the other on distortion energy (von Mises criterion). It compares and contrasts the two methods and demonstrates their use as flow rules. It also explains how to calculate effective strain and strain rate and includes a brief discussion on the mechanical energy consumed during deformation.
Image
Published: 30 November 2013
Fig. 4 Typical stress-strain diagram showing different regions of elastic and plastic behavior. (a) Elastic region in which original size and shape will be restored after release of load. (b) Region of permanent deformation but without localized necking. (c) Region of permanent deformation
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Image
Published: 01 November 2012
Fig. 4 Typical stress-strain diagram showing different regions of elastic and plastic behavior. (a) Elastic region in which original size and shape will be restored after release of load. (b) Region of permanent deformation but without localized necking. (c) Region of permanent deformation
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780216
EISBN: 978-1-62708-281-5
... of a plastic component can take many forms. There are situations in which excessive elastic deformation will constitute failure. A plastic automotive bumper is a good example of this class of failure. A bumper system is required to absorb specified levels of energy while simultaneously protecting the rest...
Abstract
This article discusses the material and engineering issues associated with plastic components subjected to impact. The first part covers the effects of loading rate, temperature, and state of stress on both deformation and mode of failure. It discusses standard impact tests, along with their associated results. A brief discussion on the linear elastic fracture mechanics method is presented, along with an example of its effectiveness as a predictive tool for impact performance. Various issues with a bearing on impact performance, such as processing, chemical attack, and aging, are also described. The second part describes the engineering calculations used to predict the performance of thin plastic beams, plates, and shells. The issue of assuming small displacements for the calculation of plastic structure performance is discussed and its limitations described. An example of the consequence of the very low modulus of elasticity associated with plastics and some plastic design solutions are offered.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060049
EISBN: 978-1-62708-261-7
... Abstract This chapter introduces the concepts of mechanical properties and the various underlying metallurgical mechanisms that can be used to alter the strength of materials. The mechanical properties discussed include elasticity, plasticity, creep deformation, fatigue, toughness, and hardness...
Abstract
This chapter introduces the concepts of mechanical properties and the various underlying metallurgical mechanisms that can be used to alter the strength of materials. The mechanical properties discussed include elasticity, plasticity, creep deformation, fatigue, toughness, and hardness. The strengthening mechanisms covered are solid-solution strengthening, cold working, and dispersion strengthening. The effect of grain size on the yield strength of a material is also discussed.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060115
EISBN: 978-1-62708-355-3
.... Because the plastic strain associated with tensile deformation of metals and alloys is typically several orders of magnitude greater than the accompanying elastic strain, plasticity or dislocation motion is very important to the development of toughness. This is illustrated by the stress-strain curves...
Abstract
The tensile test provides a relatively easy, inexpensive technique for developing mechanical property data for the selection, qualification, and utilization of metals and alloys in engineering service. The tensile test requires interpretation, and interpretation requires a knowledge of the factors that influence the test results. This chapter provides a metallurgical perspective for such interpretation. The topics covered include elastic behavior, anelasticity, damping, proportional limit, yield point, ultimate strength, toughness, ductility, strain hardening, and yielding and the onset of plasticity. The chapter describes the effects of grain size on yielding, effect of cold work on hardness and strength, and effects of temperature and strain-rate on the properties of metals and alloys. It provides information on true stress-strain relationships and special tests developed to measure the effects of test/specimen conditions. Finally, the chapter covers the characterization of tensile fractures of ductile metals and alloys.
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