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stress analysis equations

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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 Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001272
EISBN: 978-1-62708-215-0
..., at this stress level, fracture mechanics indicated that the 25 mm (1 in.) starter crack exceeded or was very near the critical crack length for the material. Additional factors not taken into account in the design equations included cold work from a hole punching operation, thread imprinting in bolt holes...
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
... equations for materials that are homogeneous and isotropic. The analysis of the stress-strain relationships shows that there are only two independent constants. Then E , G , and ν are related by: (Eq 33) E = G 2 ( 1 + ν ) The volume change in a material is given by: (Eq 34) Δ...
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
... stress analysis and fracture mechanics analyses of the casing. fracture mechanics residual life prediction stress analysis thermomechanical fatigue turbine casing THERMOMECHANICAL FATIGUE (TMF) refers to the process of fatigue damage under simultaneous changes in temperature and mechanical...
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 Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001810
EISBN: 978-1-62708-241-9
... • Fatigue Failures , Failure Analysis and Prevention , Vol 11 , ASM Handbook , Becker W.T. and Shipley R.J. , Ed., ASM International , 2002 , p 700 – 727 . 10.31399/asm.hb.v11.a0003544 Introduction Hardness Analysis Techniques Used in Fracture Analysis Torsional Stress...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001817
EISBN: 978-1-62708-241-9
..., a computational mechanical study was carried out to model the failure of the wire rope. For this, a finite element analysis was performed to compute the stress and deformation of the wires. Figure 9 shows the model of the wire rope. To model the sophisticated geometry of the wires, the parametric equations...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.power.c9001711
EISBN: 978-1-62708-229-7
... + log   t f ) ,   where   T = T ( ° F ) + 460. Besides, in seam cooled pipes, the internal magnetite scale thickness may also be used as a criterion for failure analysis. The equation for scale thickness is: (Eq 2) log   X = 0.00022 ( T + 460 ) ( 20...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006921
EISBN: 978-1-62708-395-9
... is that the data can be obtained to plot the strength versus time to failure. The relationship can be quantified using a linear equation, and this information can be used to extrapolate the time to failure at particular stress levels. If the stress on the part in service is known by design calculations...
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
... R.L. , A Pressure Vessel Hatch Cover Failure—A Design Analysis , Case Histories Involving Fatigue and Fracture Analysis , STP 918, American Society for Testing and Materials , 1986 , p 46 – 64 Fracture Mechanics Variables Stress-Intensity Factor and Fracture Toughness Stress...
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
... with process parameters, design features, and life cycle data. The fatigue damage models are based on Morrow’s stress and strain-life models for flat extrusion die and account for bearing length, fillet radius, temperature, and strain rate. They were shown to provide useful information for the analysis...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.marine.c9001140
EISBN: 978-1-62708-227-3
... alloys for storage of compressed breathing gasses, increases constantly. The design of most of these cylinders is based on classical “strength of materials” considerations i.e. employing thin wall cylinder equations and requiring that the proof hoop stress (1.5× service hoop stress) in the thinnest...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.petrol.c9001142
EISBN: 978-1-62708-228-0
.... In addition, the stress intensity factor KI calculated from the value of the internal pressure was lower than that estimated by the fracture toughness test. All of this suggests that the tanks were not sufficiently annealed and prone to brittle fracture. The analysis thus proves that cracks initiated by deep...
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Published: 01 June 2019
Fig. 8 Creep rate of Incoloy 800H as a function of stress at a temperature of 800°C. Data for power-law creep are taken from manufacturers (Inco, Sandvik) and from free literature. These data are put into a Larson-Miller equation by regression analysis. Data for diffusional creep are taken More
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
...) is important to rule out any potential unexpected fatigue damage progression. The inspection methods and frequency should be determined from an engineering analysis and other factors such as the consequence of failure, among many other variables, as outlined herein. The application of cyclic stresses...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006940
EISBN: 978-1-62708-395-9
... Abstract Failure of structural polymeric materials under cyclic application of stress or strain is a subject of industrial importance. The understanding of fatigue mechanisms (damage) and the development of constitutive equations for damage evolution, leading to crack initiation and propagation...
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
... equation: (Eq 1) σ = E ε where E is the modulus of elasticity ( Fig. 1a ). Fig. 1 Creep-recovery response of (a) Hookean model and (b) Newtonian model On the other hand, the deformation of an ideal viscous material occurs as the stress is maintained. In this case, the strain...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003523
EISBN: 978-1-62708-180-1
.... The software uses numerical methods and equations related to the calculation of stress-intensity factors. Some of the programs use FEA for the calculation of stress intensities and evaluation of crack propagation rates. The use of FEA and fracture mechanics analysis as well as other similar techniques can...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.bldgs.c9001618
EISBN: 978-1-62708-219-8
... Abstract Arms bolted to powerline towers were falling off two weeks after installation. Metallurgical and chemical analysis performed on the base metal, weld zone, and heat-affected zone showed acceptable quality material. Residual stress appeared to be responsible for the high failure rate...
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
... solid-model elements with simplified example Fig. 2 Simple cantilever beam analysis. (a) Classical beam theory showing key elements (top left) and stress and deflection (top right). (b) Finite element analysis (FEA) cantilever beam elements (bottom left) with FEA cantilever beam results...