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Linear damage theory

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Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.mech.c9001596
EISBN: 978-1-62708-225-9
... the fatigue life. Based on an understanding of the compressor motion, a Monte Carlo model was developed based on a linear damage theory to predict the fatigue life of the springs during start/stop conditions. The results of this model were compared to actual test data. The model showed that the design...
Image
Published: 01 June 2019
Fig. 13 Schematic diagram showing stress as a function of cycles to failure used to describe the linear damage theory More
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001807
EISBN: 978-1-62708-241-9
... almost the same microstructure. The pieces with an outer diameter of 60 mm and inner diameter of 30 mm were tested on a linear-contact-type rolling fatigue machine. The test conditions are all the same except for the friction. The parameters for rolling contact fatigue test of two pieces are as listed...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006829
EISBN: 978-1-62708-295-2
... displacement results in a tangential force, Q (amplitude Q * ). The measured displacement, δ m , is obtained from an external extensometer (linear variable differential transformer, laser, etc.), while the loading and tangential forces ( P and Q ) are recorded from load cells. Fig. 7 Schematic...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001797
EISBN: 978-1-62708-241-9
... = 0.013, C cc = 0.11 Linear damping coefficients, N s/m C vs = C hs = 1500, C f = 0.08, C fl = 1134.1 Torsional stiffness, N m/rad K s1 = K s2 = 2.2610 4 Linear stiffness, N/m K vs = K hs = 2.5910 8 , K rs = 1.4110 5 , K rb = K hc = K f = 2.6210...
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
.... Without addressing the metallurgical and failure sequence deficiencies associated with the structural analysis, it was necessary to evaluate the merits of the torsional strength characteristics of the extension rod. At the most fundamental level, a simple linear elastic stress analysis...
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
.... When this factor equals 1.0, this implies end of life has been predicted. Note that the linear version of the Palmgren-Miner rule does not distinguish between the order in which cycles are applied. There are other, nonlinear forms of fatigue damage summation rules that do make this distinction, where...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003546
EISBN: 978-1-62708-180-1
... eff versus T H is approximately linear. These trends are most closely followed for high activation energies but hold fairly well even for activation energies as low as 20 kcal/mol. However, it is well known that the activation energies of most of the damaging diffusional processes of interest lie...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.bldgs.c9001151
EISBN: 978-1-62708-219-8
.... (Note in Fig. 3 that the trusses are constructed using a pair of angle iron bars at the top and a pair at the bottom, with the angle iron being joined by welding to the paddle bars and splice bars.) Using strength of materials equations based on linear beam theory and knowing the rated loads...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003526
EISBN: 978-1-62708-180-1
... Abstract This article provides information on the development of finite element analysis (FEA) and describes the general-purpose applications of FEA software programs in structural and thermal, static and transient, and linear and nonlinear analyses. It discusses special-purpose finite element...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006781
EISBN: 978-1-62708-295-2
... plastic behavior ( Ref 11 , 12 ): (Eq 12) da dN = C Δ J q e ( − Q p RT ) Equation 11 estimates the fatigue crack growth per cycle, da / dN , as a function of material- and environmental-specific constants a and b ; the linear elastic stress-intensity factor...
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
..., and a procedure to deal with stress by determining maximum values through stress transformation is described. The article provides the stress analysis equations of typical component geometries and discusses some of the implications of the stress analysis relative to failure in components. It focuses on linear...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003564
EISBN: 978-1-62708-180-1
... of a conducting coating. Linear elastic stress-intensity solutions for the various specimen geometries are given in standard handbooks ( Ref 29 ). Short-crack experiments (typically with cracks less than 250 μm, or 10 mil, in length) were done by bending beams using surface cracks introduced from a notch...
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
... of fracture mechanics. The fracture mechanics approach is an important part of stress analysis at the tips of sharp cracks or discontinuities. The article reviews fracture mechanics concepts, including linear elastic fracture mechanics, elastic-plastic fracture mechanics, and subcritical fracture mechanics...
Book Chapter

Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003562
EISBN: 978-1-62708-180-1
..., characterized by the appearance of the typical reddish-brown oxide, increased in width, with the outer radius remaining constant. This situation has been investigated using a linear vibratory motion ( Ref 19 ), where it was found that the annulus of damage for a fixed amplitude increased in width...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
... is Rainflow counting, because it results not only in the amplitude but also the mean values of the different counted cycles. The first hypothesis for lifetime assessment under block and variable-amplitude loading assuming a linear damage accumulation was suggested by Palmgren ( Ref 6 ) and restated...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006773
EISBN: 978-1-62708-295-2
..., linearity, and steady-state conditions. As computing power increased, so did the complexity of finite-element modeling and analysis techniques. The first analyses and elements available were limited to 2D beams and spars. The progression was then toward three-dimensional (3D) spars and beams, 2D solid...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003512
EISBN: 978-1-62708-180-1
... the strength-of-materials approach and the engineering design regime based on a factor of safety. Fig. 3 A general plot of the ratios of the toughness and stress showing the relationship between linear elastic fracture mechanics and strength of materials as it relates to fracture and structural...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006802
EISBN: 978-1-62708-329-4
... based on a factor of safety. Fig. 3 General plot of the ratios of toughness and stress showing the relationship between linear elastic fracture mechanics and strength of materials as it relates to fracture and structural integrity. K , stress-intensity factor; K Ic , plane-strain fracture...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003516
EISBN: 978-1-62708-180-1
... is assumed to be linear. Second, the fatigue life is assumed to be independent of the order in which the blocks of stresses are applied. These assumptions are valid only under a very limited set of circumstances. For this reason, life estimates obtained from the Palmgren-Miner rule are divided by a large...