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linear elastic deformation

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Published: 01 January 1996
strains are retained within the deformation zone—Path C for elastic unloading and Path D for linear unloading that is between paths B and C. More
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
.... 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. stress-strain behavior bending deformation strain...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 November 1995
DOI: 10.31399/asm.hb.emde.a0003024
EISBN: 978-1-62708-200-6
... understood by considering the nature of the metallic bonds ( Ref 1 ). Metals are mostly crystalline: individual atomic units are connected through metallic bonds. In elastic deformations, the strain experienced by a metal under some applied load is a manifestation of changes in bond lengths in the crystal...
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
...-versus-time graph can be constructed from creep data. As long as the material remains within the linear viscoelastic range, the modulus calculated from creep data will be a function of time alone. The contributions to the instantaneous deformation are a recoverable elastic strain and a permanent plastic...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006307
EISBN: 978-1-62708-179-5
.... The shape of the stress-strain curve consists of at least two different major phenomena: Elastic deformation, which is reversible Plastic deformation, which is irreversible In Fig. 4 , the elastic region is the initial linear part of the curve for which Young’s modulus describes the slope...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006767
EISBN: 978-1-62708-295-2
... mechanics analysis linear elastic fracture mechanics analysis stress analysis equations stress analysis THE STRESSES acting on a component may cause unacceptable deformation, cracking, or fracture. By definition, after a stress-related failure has occurred, it is a given that the stresses reached...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003305
EISBN: 978-1-62708-176-4
... (EPFM). Linear-elastic fracture mechanics is used if the crack tip in a body is sharp and there is only a small amount of plastic deformation at or near the crack tip. Some materials that are designed using LEFM concepts are high-strength steels, titanium, and aluminum alloys. Elastic-plastic fracture...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003306
EISBN: 978-1-62708-176-4
... influence the deformation process that a component or specimen might undergo during the measurement of toughness ( Ref 2 ). The deformation process is generally described as being linear-elastic or nonlinear. This determines which parameter is used in the fracture toughness test characterization. All...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006446
EISBN: 978-1-62708-190-0
... of the ultrasonic probe wave due to the modulating elastic deformation should be given special attention. The change in propagation distance is estimated by incorporating the known linear elastic constants of the material into the velocity measurement before comparing them to theoretical predictions presented...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006910
EISBN: 978-1-62708-395-9
... Abstract There are many different types of polymeric materials, ranging from glassy to semicrystalline polymers and even blends. Their mechanical properties range from pure elastic with very high strains to fracture (elastomers) to almost pure linear elastic (Hookian behavior) with low strains...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003255
EISBN: 978-1-62708-176-4
... higher elastic moduli than most metals and exhibit extremely high strengths when deformed in compression. The presence of strong ionic and covalent bonds allows these materials to retain their strength to high temperature and makes them extremely resistant to corrosion. However, these same bonds render...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003263
EISBN: 978-1-62708-176-4
... deformation of prismatic bars of circular cross-section and torsional response of prismatic bars of noncircular cross-section. It analyzes the elastic deformation, plastic deformation, and the effect of strain rate on plastic deformation. The article describes the theory of anisotropy in plastic torsion...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003310
EISBN: 978-1-62708-176-4
... with information on the alternative methods for determining the fracture toughness of polymer materials. J-integral-based single specimen technique J-integral-based multiple specimen technique plane strain fracture toughness thin sheets thin films fracture toughness plastics linear elastic fracture...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0005689
EISBN: 978-1-62708-176-4
... (G). The elastic energy change of shape caused by wear to such a de- temperature. (2) The linear or volume expan- per unit of new separation area that would be gree that the service life of a part is apprecia- sion of a given material per degree rise of made available at the front of an ideal crack...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.9781627081764
EISBN: 978-1-62708-176-4
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005936
EISBN: 978-1-62708-166-5
.... The article also describes the generation of thermal, transformation, and hardening residual stresses. bearing steel case hardening distortion elastic plastic deformation heat treatment linear elastic deformation phase transformation quenching residual stress retained austenite steel...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003261
EISBN: 978-1-62708-176-4
... ( Fig. 1 ) requires further explanation. In the elastic region, stress is linearly proportional to strain. When the stress exceeds a value corresponding to the yield strength, the specimen undergoes gross plastic deformation. If the load is subsequently reduced to zero, the specimen will remain...
Book Chapter

Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005161
EISBN: 978-1-62708-186-3
..., as it is for elastic bending. For a beam with the stress-strain curve shown in Fig. 18(a) , the development of longitudinal strain and stress at different stages of deformation is shown in Fig. 18(b) and (c) , respectively. In Fig. 18(b) , a linear strain distribution given by ε x =(− y / R n ) was used...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005169
EISBN: 978-1-62708-186-3
... International d Unites watt aP SLP slip-line eld WIP work; width b draft angle of preform w2 SM sequential linear programming wp relative portion of power bt Rt SPC Sachs (slab) method WRC C_ Searle s parameter (b= ) SPD statistical process control W_ s consumed by friction c SPF severe plastic deformation...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005531
EISBN: 978-1-62708-197-9
.... Linear continuum models include linear elastic finite element, heat transfer, and fluid mechanics, which can be applied to product design, tool design, PIM simulation, and continuum approaches to sintering. Nonlinear continuum models involve FEA of nonlinear materials, which are used for simulations...