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finite-difference method

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Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003544
EISBN: 978-1-62708-180-1
... Abstract This article describes three design-life methods or philosophies of fatigue, namely, infinite-life, finite-life, and damage tolerant. It outlines the three stages in the process of fatigue fracture: the initial fatigue damage leading to crack initiation, progressive cyclic growth...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.9781627082952
EISBN: 978-1-62708-295-2
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006803
EISBN: 978-1-62708-329-4
... of calls usually increases greatly for rare events. Some of the most sophisticated models use three-dimensional and time-dependent finite-element or finite-difference schemes that require minutes to days of computational time, even with current computer capabilities. While such models do...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001760
EISBN: 978-1-62708-241-9
..., and the results are shown in Fig. 12 with different magnifications. According to Fig. 12 , casting defects and pores were observed near the threads. It should be mentioned that the diameter of the pores was about 450 μm. Fig. 12 Results of SEM investigations near the cracked surface Finite Element...
Series: ASM Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001309
EISBN: 978-1-62708-215-0
.... Inspection intervals were devised to avoid future problems. Bending fatigue Crack propagation Finite element method Mechanical properties Stress concentration Tubing Weldments 1008 UNS G10080 Fatigue fracture Background A significant percentage of the approximately 300 1982-model-year...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001763
EISBN: 978-1-62708-241-9
... at the fractured regions by the finite element method. The fatigue failure analysis also provided a basis for some suggestions to raise the durability of the transmission system of the ATV. Visual Examination As shown in Fig. 1 , the shaft fractured at the location secured with a pinion gear, where...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006919
EISBN: 978-1-62708-395-9
... Abstract This article reviews the impact response of plastic components and the various methods used to evaluate it.. It describes the effects of loading rate on polymer deformation and the influence of temperature and strain rate on failure mode. It discusses the advantages and limitations...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.med.c9001606
EISBN: 978-1-62708-226-6
... and Properties of Engineering Materials , McGraw-Hill , New York, NY , 2002 , pp. 255 and 357 . 17. Anon .: ABAQUS User's Manual , Version 6.2, Hibbit, Karlsson, and Sorenson, Inc. , Providence, RI , 2001 , pp. 14.1.1 – 2 . 18. Hughes T.J.R. : The Finite Element Method , Prentice...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001764
EISBN: 978-1-62708-241-9
... a load couple and multipoint constraints (MPCs). In the finite element method, MPCs are used to tie together all of the nodes on a component surface through a single node off the component surface, as indicated in the figure. In the present case, the MPCs model the point of load transfer to the component...
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
... loadings that must be addressed, and the maximum allowable stresses under these different loads. Although FEA is used in the research and conceptualization phases, it is used most often in the detailed analysis phase. Finite-element analysis and other analyses are performed to verify the mechanical...
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
.... Equations of motion accounting for misalignment and unbalance were then derived using finite elements. A spectral method for resolving these equations was also developed, making it possible to obtain and analyze dynamic system response and identify misalignment and unbalance conditions. rotors shafts...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001845
EISBN: 978-1-62708-241-9
... not taken into account. The simulation was performed for linear-elastic material. The nonlinear, Newton–Raphson method was employed in the computation. For all results, units of megapascals (MPa) are used for the stress [ 8 ]. Fig. 6 Models prepared for FEA: ( a ) geometrical model, ( b ) finite...
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
... considerable assistance in design analysis as well as failure analysis. Finite element analysis is one of the most common tools used by design engineers. It has application in the structural/mechanical fields to determine the stress, strain, and displacements of structures subjected to different types...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001852
EISBN: 978-1-62708-241-9
... shell was found to be constant. Finite element model of the mould was produced to examine design and service related causes. Two different displacement boundary conditions were studied and compared to each other. The loading was simulated by finding the proper heat flux that would generate...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006768
EISBN: 978-1-62708-295-2
...-profile methods work well ( Ref 2 ). In contrast to the center-of-gravity method, the Gaussian offers the advantage that it may easily be extended to two or more profiles with their K α 2 peaks removed, using the Rachinger correction. Because the intensity ratio and the difference in wavelength, Δλ...
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
..., different frictional coefficient, etc. Fig. 3 Effective stress distribution obtained by Lee and Im [ 10 ]. ( a ) Validated results: maximum von Mises stress at critical location ( b ) Finite Element Analysis In fatigue life analysis of extrusion die, the die geometry and deformation...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003528
EISBN: 978-1-62708-180-1
...-of-gravity method, the Gaussian offers the advantage that it may easily be extended to two or more profiles with their K α 2 peaks removed, using the Rachinger correction. Because the intensity ratio and the difference in wavelength, Δλ, of the K α 1 and K α 2 lines is known for all x-ray tube targets...
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
... in-homogeneities such as nonmetallic inclusions or the regions of higher shear stress. Published research articles dealing with the assessment of the failures associated with rolling contact fatigue damage in these components are quite voluminous, and different models have been proposed for the fatigue...
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
..., initiating fatigue crack on the wire surface. Raoof and Kraincanic [ 7 ] used a model to analyze the large-diameter steel ropes with independent wire rope core (IWRC). They considered the effect of friction between the wires. Jiang et al. [ 8 ] used finite element method to analyze wire ropes...
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
... loading is the comparison of the stress spectrum for the considered operation period with the S - N curve ( Eq 5 ). The spectrum (number of cycles on different stress levels) is generated from the stress-time or strain-time cycles by application of different counting methods. The superior method...