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- {{Mechanical failure modes}} ...usually classified into [[brittle]] failure ([[fracture]]) or [[ductile]] failure ([[yield (engineering)|yield]]). Depending on the conditions (such as [[tem ...17 KB (2,415 words) - 19:13, 23 January 2024
- ...hes 1. This failure criterion is a specialization of the general quadratic failure criterion proposed by Gol'denblat and Kopnov<ref name=Golden/> and can be e ...stresses <math>\sigma_i</math> are expressed in [[Voigt notation]]. If the failure surface is to be closed and convex, the interaction terms <math>F_{ij}</mat ...8 KB (1,210 words) - 19:03, 26 December 2024
- ...hat is used in [[rock mechanics]] to predict the [[material failure theory|failure]] of [[Rock (geology)|rock]].<ref name=Hoek/><ref name=Pariseau/> The orig The Hoek–Brown failure criterion is used widely in [[mining engineering]] [[design]]. ...5 KB (706 words) - 00:39, 4 September 2021
- The '''Christensen failure criterion''' is a [[material failure theory]] for isotropic materials that attempts to span the range from [[duc ...ef><ref>Christensen, R.M. (2007), ''A Comprehensive Theory of Yielding and Failure for Isotropic Materials'', J. Engr. Mater. and Technol., 129, 173–181</ref> ...4 KB (500 words) - 00:13, 7 January 2024
- ...knowledge and understanding of the processes and mechanisms that induce [[failure]] to predict reliability and improve product performance. Other definitions of Physics of Failure include: ...15 KB (2,256 words) - 22:21, 30 July 2024
- {{Short description|Failure mode of anchors in concrete submitted to tensile force}} ...ors in [[concrete]], loaded by a [[Tension (physics)|tensile force]]. The failure is governed by [[Crack spacing of reinforced concrete|crack growth]] in con ...6 KB (842 words) - 00:02, 15 February 2024
- ...of '''micro-mechanics of failure''' aims to explain the [[material failure|failure]] of [[fibre-reinforced plastic|continuous fiber reinforced composites]] b ...ai-Wu]]<ref name=SWTsai/> and Hashin<ref name=Hashin1/><ref name=Hashin2/> failure criteria, being able to distinguish the critical constituent in the critica ...13 KB (1,939 words) - 21:29, 22 January 2025
- ...tension and compression. The Tsai-Hill criterion predicts failure when the failure index in a laminate reaches 1. == Tsai–Hill failure criterion in plane stress == ...2 KB (301 words) - 12:56, 13 May 2024
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- ...tension and compression. The Tsai-Hill criterion predicts failure when the failure index in a laminate reaches 1. == Tsai–Hill failure criterion in plane stress == ...2 KB (301 words) - 12:56, 13 May 2024
- ...with failure in compression, while many other engineers are concerned with failure in [[tension (physics)|tension]]. A further reason for the second conventio ...tress is more than four times the tensile strength of the rock, then shear failure will occur.<ref>Cosgrove. J. W. (1998) The role of structural geology in re ...2 KB (343 words) - 22:13, 22 July 2023
- ...Dangerous Failure. In a safety system MTTF<sub>D</sub> is the portion of failure modes that can lead to failures that may result in hazards to personnel, en # use the manufacturer's failure data; ...3 KB (536 words) - 03:10, 29 March 2024
- The '''Christensen failure criterion''' is a [[material failure theory]] for isotropic materials that attempts to span the range from [[duc ...ef><ref>Christensen, R.M. (2007), ''A Comprehensive Theory of Yielding and Failure for Isotropic Materials'', J. Engr. Mater. and Technol., 129, 173–181</ref> ...4 KB (500 words) - 00:13, 7 January 2024
- ...<math>(\text{Reliability} = 1 - \text{Probability of Failure})</math>. The failure occurs when the total applied load is larger than the total resistance of t ...s are explicit and have their own independent function, the probability of failure could be formulated as follows.<ref name=":0" /><ref name=":1" /> ...4 KB (514 words) - 07:32, 6 January 2025
- {{Short description|One of the failure mechanisms in fiber-reinforced composite materials}} ...ges=347–62 | doi=10.1016/0010-4361(91)90549-V}}</ref> Other forms of failure include [[delamination]], intralaminar matrix cracking, longitudinal matrix ...3 KB (388 words) - 15:31, 16 August 2024
- {{Short description|Failure of one institution triggering further failures}}{{citation style|date=Augus ...network. There are three conditions required for a cascade, there are; a failure, contagion and interconnection.<ref>Elliott, M., Golub, B. and Jackson 2013 ...6 KB (1,058 words) - 10:03, 21 February 2024
- ...hat is used in [[rock mechanics]] to predict the [[material failure theory|failure]] of [[Rock (geology)|rock]].<ref name=Hoek/><ref name=Pariseau/> The orig The Hoek–Brown failure criterion is used widely in [[mining engineering]] [[design]]. ...5 KB (706 words) - 00:39, 4 September 2021
- ...094028 }}</ref> It is a hybrid algorithm which combines [[Failure detector|failure detection]] with group membership dissemination. The protocol has two components, the ''Failure Detector Component'' and the ''Dissemination Component''. ...5 KB (650 words) - 19:14, 14 February 2025
- ...hes 1. This failure criterion is a specialization of the general quadratic failure criterion proposed by Gol'denblat and Kopnov<ref name=Golden/> and can be e ...stresses <math>\sigma_i</math> are expressed in [[Voigt notation]]. If the failure surface is to be closed and convex, the interaction terms <math>F_{ij}</mat ...8 KB (1,210 words) - 19:03, 26 December 2024
- ...method of determining the probability of a class of events, particularly a failure event, that is faster to execute than [[Monte Carlo analysis]].<ref>Murthy ...Beck & Melchers, p. 2202.</ref> In this case, one defines a probabilistic failure barrier surface, <math> \mathbf R (t)</math>, over the [[vector space]] of ...4 KB (559 words) - 06:16, 15 March 2023
- ..._y\right)</math>. The overlap of these distributions is the probability of failure <math>\left(Z\right)</math>. This overlap is also referred to stress-stren * {{Cite web |title=STRESS - STRENGTH INTERFERENCE - PROBABILITY OF FAILURE |url=http://www.engr.iupui.edu/me/courses/stressstrengthinterference.pdf |a ...3 KB (395 words) - 04:39, 15 February 2025
- ...al systems where corrective labor is undesirable or impractical to correct failure during normal operation. ...aulic systems, and propulsion systems so that a single in-flight equipment failure will not cause loss of life. ...6 KB (789 words) - 14:10, 15 September 2023
- ...Mean \ Active \ Maintenance \ Down \ Time\\ MTBF = Mean \ Time \ Between \ Failure \end{cases}</math> Mean Time Between Failure (MTBF) depends upon the maintenance philosophy. ...8 KB (1,230 words) - 10:42, 22 August 2023
- ...on of a circuit design wherein a particle of a particular size can cause a failure.<ref>{{cite book |chapter-url=https://ieeexplore.ieee.org/document/171820 | .../math> is the area in which a defect of radius <math>r</math> will cause a failure, and <math>D(r)</math> is the density function of said defect.<ref>{{cite b ...2 KB (235 words) - 07:22, 8 August 2023
- ...ional failure. <math>A_o</math> is used to evaluate that risk. Operational failure is unacceptable in any situation where the following can occur. * Sustained failure to accomplish mission ...5 KB (674 words) - 15:27, 23 September 2022
- {{Short description|Failure mode of anchors in concrete submitted to tensile force}} ...ors in [[concrete]], loaded by a [[Tension (physics)|tensile force]]. The failure is governed by [[Crack spacing of reinforced concrete|crack growth]] in con ...6 KB (842 words) - 00:02, 15 February 2024
- ...the curve indicates failure. The Johnson parabola creates a new region of failure.]] ...alysis.pdf</ref> Placing a load on a long slender bar may cause a buckling failure before the specimen can fail by compression.<ref>Dornfeld, W (27 October 20 ...6 KB (954 words) - 08:53, 19 February 2025
- ...with the two-parameter Weibull and [[gamma distribution]]s with respect to failure rate. ...Wang | first2 = Y. | year = 2013 | title = On Crevecoeur's bathtub-shaped failure rate model | journal = Computational Statistics & Data Analysis | volume = ...6 KB (726 words) - 05:16, 14 December 2020
- ...> The law provides a mathematical model to predict the number of cycles to failure ('''N''') based on the applied stress amplitude <math>(\sigma_a)</math>. ...epresentation of stress amplitude ('''S''') versus the number of cycles to failure ('''N'''). By plotting these curves for different materials, engineers can ...6 KB (795 words) - 05:17, 16 October 2024