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elastic deformation

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Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001851
EISBN: 978-1-62708-241-9
... be derived by the finite element method with the introduction of consistent variables to satisfy the geometric compatibility at the internal boundaries. Motion of the rotating shaft can be described as a Euler beam, while motion of the spinning disk results in elastic deformation and departure from a rigid...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001766
EISBN: 978-1-62708-241-9
... that the anchor rod was loaded beyond its installation limit of 6,000 ft-lbf based upon the underlying assumption that 6,000 ft-lbf was the elastic limit of the screw anchor. While in many applications, the onset of bulk plastic deformation is considered to constitute failure of a component, it is not true...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.med.c0048407
EISBN: 978-1-62708-226-6
... the elastic deformation could occur more uniformly. In the defect zone of the original fracture, between screws No. 4 and 7, the plate is not supported by the bone, and the load is transmitted only through the plate, which caused cyclic loading of the implant and fatigue-crack initiation. It is also...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006944
EISBN: 978-1-62708-395-9
... crazing and fracture in polymeric materials, with a review of the behavior of the elastic modulus as a function of temperature or time parameters, emphasizing the importance of the viscoelastic nature of their deformation and fracture. The discussion covers the behavior of polymers under stress, provides...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001788
EISBN: 978-1-62708-241-9
... in the die is zero, the mean stress, stress amplitude , and strain amplitude is half of maximum values in all cases. Furthermore, the extrusion dies were deformed in elastic regime under extrusion pressure, elastic behavior of dies is analyzed and plastic strain values are neglected in life prediction [ 5...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001811
EISBN: 978-1-62708-241-9
... directions. However, the regions having the retained austenite did not sustain the stresses thus forcing the tube to deform. The produced stresses are well within the range of elastic limit, as when one end of the tube is cut, it regains its original shape. Eddy currents are sensitive to any changes...
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
... ultimately, one of fracture. If the material is a solid, then the simplest relationship between force and deformation is one in which the applied stress is proportional to the total resultant strain. The proportionality factor is referred to as a modulus of elasticity in the solid material; it may be used...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003573
EISBN: 978-1-62708-180-1
... Recommendations Inelastic Cyclic Buckling Deformation Related to Other Types of Failure Special Types of Distortion Failure Elastic Distortion Ratcheting Overloading Classical Design Limit Analysis Investigation Conclusions Buckling Safety Factors Example 1: Collapse...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006797
EISBN: 978-1-62708-295-2
... to fatigue or elastic buckling or in designing flaw-tolerant structures. Limit analysis assumes an idealized material—one that behaves elastically up to a certain yield strength, then does not work harden but undergoes an indefinite amount of plastic deformation with no change in stress. The inherent...
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
... of applying a constant stress to a material specimen and recording its deformation (strain) over time. When an ideal elastic solid is stressed, an immediate strain is recorded, and the applied stress, σ, is directly proportional to the strain, ε. The elastic behavior is described by the familiar Hooke...
Image
Published: 30 August 2021
Fig. 14 Typical numerical calculations permitting a more accurate determination of rolling-element bearing behavior under combined complex loading, initial deformations, clearance, centrifugal loads, and elastic bearing components. Extract of BearinX More
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003530
EISBN: 978-1-62708-180-1
... The transformations A and B can be combined by defining C = BA . In that case T ′ ′ = C T C T which is in the same form as the single transformation. Stress and strain in an isotropic body for elastic deformation are related by linear expressions that result from Hooke's law...
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: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006761
EISBN: 978-1-62708-295-2
..., but are not limited to: Elastic deformation properties, that is, the modulus of elasticity (Young’s modulus) and Poisson’s ratio (in some instances). Proportional limit Yield strength and ultimate tensile strength Ductility properties, such as elongation and reduction in area Strain-hardening...
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
... at the crack tip and elastic behavior throughout the remainder of the specimen, whereas in the actual materials, viscoelastic deformation of some form or another occurs in the bulk of the specimen. The presence of inelasticity in the entire specimen as well as at the crack tip results in additional energy...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006820
EISBN: 978-1-62708-329-4
..., there is sliding in the upward direction, while the proportion of rolling slowly decreases. Then, as a result of the tooth geometry and elastic deformation, contact begins on the second set of teeth, and the sliding is in the downward direction. This first contact point is called the start of active profile...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.modes.c9001487
EISBN: 978-1-62708-234-1
... the heat cycle, thus preventing contraction and expansion, then the resulting stress/strain relationship is as shown in Figure 2 . During initial heating, the curve OA is followed, and since point A lies beyond the strictly elastic portion of the curve, permanent deformation will occur. Point...
Book Chapter

Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006790
EISBN: 978-1-62708-295-2
..., leads to lower wear rates ( Ref 7 , 10 ). Abrasive wear mechanisms involving plastic deformation, cutting, and fragmentation occur predominantly in materials with relatively high elastic modulus, that is, metals, ceramics, and rigid polymers. As the elastic modulus decreases, the nature...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0001819
EISBN: 978-1-62708-180-1
... overload the bone. When loaded physiologically under weight bearing, the bone undergoes small elastic deformations, which act as a fine stimulus that keeps the bone in a healthy condition. For example, a trained athlete develops heavier and stronger bones than an untrained person, or if a patient...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003560
EISBN: 978-1-62708-180-1
... elastic modulus, that is, metals, ceramics, and rigid polymers. As the elastic modulus decreases, the nature of the abrasive/wear material contact changes, with localized elastic deformation becoming more significant. The probability of wear occurring by plastic deformation mechanisms decreases...