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Статті в журналах з теми "Multiaxial fatigue analysis"

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Автор: Grafiati

Опубліковано: 14 жовтня 2022

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1

Maslak, Tetiana, Mikhail Karuskevich, and Łukasz Pejkowski. "New Criterion for Aircraft Multiaxial Fatigue Analysis." MATEC Web of Conferences 304 (2019): 01020. http://dx.doi.org/10.1051/matecconf/201930401020.

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The complexity of analytical and experimental estimation of aircraft components fatigue life is determined by the irregular character of the load’s sequence, a number of stress concentrators, multiaxial stress state. Proposed early multiaxial fatigue criteria are aimed to reduce the complex multi axial loading to an equivalent uniaxial loading. These criteria cover different categories of metals but taking into account the wide variety of constructional materials, modes of loading, environmental conditions, the instrumental structural health monitoring looks a reasonable alternative or at least a strong complement to existing multiaxial fatigue analysis procedures. The new criterion has been proposed as a result of multi-scale levels study of metal surface transformation under fatigue.

2

Gaier, C., B. Unger, and H. Dannbauer. "Multiaxial fatigue analysis of orthotropic materials." Revue de Métallurgie 107, no. 9 (October 2010): 369–75. http://dx.doi.org/10.1051/metal/2011002.

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3

Liu, Jianhui, Xin Lv, Yaobing Wei, Xuemei Pan, Yifan Jin, and Youliang Wang. "A novel model for low-cycle multiaxial fatigue life prediction based on the critical plane-damage parameter." Science Progress 103, no. 3 (July 2020): 003685042093622. http://dx.doi.org/10.1177/0036850420936220.

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Multiaxial fatigue of the components is a very complex behavior. This analyzes the multiaxial fatigue failure mechanism, reviews and compares the advantages and disadvantages of the classic model. The fatigue failure mechanism and fatigue life under multiaxial loading are derived through theoretical analysis and formulas, and finally verified with the results of multiaxial fatigue tests. The model of multiaxial fatigue life for low-cycle fatigue life prediction model not only improves the prediction accuracy of the classic model, but also considers the effects of non-proportional additional hardening phenomena and fatigue failure modes. The model is proved to be effective in low-cycle fatigue life prediction under different loading paths and types for different materials. Compared with the other three classical models, the proposed model has higher life prediction accuracy and good engineering applicability.

4

Wang, Lei, Tian Zhong Sui, Hang Zhao, and En Guo Men. "Probabilistic Model of the Multiaxial Low-Cycle Fatigue Life Prediction." Advanced Materials Research 479-481 (February 2012): 2135–40. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.2135.

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First, several widely used models of the multiaxial low-cycle fatigue life prediction based on the critical plane approach were presented in this paper, and the predicted results of these models for a medium carbon steel under the condition of multiaxial low-cycle fatigue loading were compared. Second, the stochastic expressions and probability density function curves of the fatigue performance parameters were obtained by probabilistic analysis of the medium carbon steel fatigue data. Finally, the probabilistic model of the multiaxial fatigue life prediction was simulated by Monte Carlo Method, which should provide a basis for the reliability analysis of engineering components subjected to the multiaxial complex loads.

5

Li, Bochuan, Chao Jiang, Xu Han, and Yuan Li. "The prediction of multiaxial fatigue probabilistic stress–life curve by using fuzzy theory." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 31, no. 2 (May 2017): 199–206. http://dx.doi.org/10.1017/s0890060417000087.

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AbstractThe fuzziness of the traditional multiaxial fatigue prediction model is discussed and the fuzzy theory is applied into fatigue reliability analysis. The fuzzy linear regression analysis method is used to determine the fuzzy coefficients in the multiaxial stress–life equation under a small sample condition, and the corresponding multiaxial fatigue probabilistic stress–life curve is calculated with different confidence levels.

6

Liu, Yongming, Liming Liu, Brant Stratman, and Sankaran Mahadevan. "Multiaxial fatigue reliability analysis of railroad wheels." Reliability Engineering & System Safety 93, no. 3 (March 2008): 456–67. http://dx.doi.org/10.1016/j.ress.2006.12.021.

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7

Zou, Guang Ping, Qi Chao Xue, and Zhong Liang Chang. "The Fatigue Reliability Analysis of Stress Criterion in Multiaxial High Cycle Fatigue." Key Engineering Materials 417-418 (October 2009): 389–92. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.389.

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The stress criterion of multiaxial high cycle fatigue is a type of non-linear equation of high-order. It is used to predict the failure of fatigue in proportional torsion and bending loads. Soon-Bok Lee presented a new design criterion for fully reversed out-of phase torsion and bending. The values are randomized in different random distributions in Lee’s criterion formula. The correlations among random variables are considered and limit state equation is also established. This paper attempts to use First Order Reliability Method (FORM) and Second Order Reliability Method (SORM) to calculate the reliability of material fatigue in torsion and bending loads. The example is calculated and it is found that the failure probability estimated by using the SORM is more reliable than those of the FORM in multiaxial high cycle fatigue.

8

Xiong, Ying. "Analysis of the Effect of Load Ratio on Fatigue Crack Growth." Advanced Materials Research 181-182 (January 2011): 330–36. http://dx.doi.org/10.4028/www.scientific.net/amr.181-182.330.

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In this paper, fatigue test and numerical simulation are carried out for Q345 weld joint under constant amplitude loading at different R-ratio using the compact tension samples with 3.8mm thickness. The result indicates that fatigue crack growth rates in the base metal is not sensitive to R-ratio, but the fatigue crack growth rates increases in the weld zone with R-ratio increasing. The effect of R-ratio on fatigue crack growth is analyzed based on J-S cycle plasticity model and Jiang’s multiaxial fatigue criterion. The finite element method (FEM) is used for the stress-strain analysis with the implementation of an accurate J-S cyclic plasticity model. With the detailed stresses and strains, fatigue damage assessment is made using a Jiang’s multiaxial fatigue criterion.

9

Zhang, Jun Hong, Jie Wei Lin, Shuo Yang, and Feng Lv. "Unsymmetrical Cycle Fatigue Analysis of Titanium Alloy Blades under Multi-Level Loading." Advanced Materials Research 337 (September 2011): 686–89. http://dx.doi.org/10.4028/www.scientific.net/amr.337.686.

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This paper presents a modified nonlinear continuum damage model (CDM) applying to analyze compressor blades fatigue developed by Chaboche. The proposed model has been formulated to take into account the effect of different load levels and loading sequence. From a multiaxial fatigue point of view, the mean stress effect has been considered in order to extend the proposed model to multiaxial fatigue conditions. The unsymmetrical cycle fatigue test of TC4 alloy has been carried out to verify the model proposed in this paper and the results show a good agreement to predict fatigue life and damage. Finally, the fatigue life of a compressor blade is predicted using the proposed model under multi-level loading.

10

Uhríčik, Milan, Peter Kopas, Peter Palček, Tatiana Oršulová, and Patrícia Hanusová. "Multiaxial Fatigue Experimental Analysis of 6063-T66 Aluminum Alloy of the Base Material and the Welded Material." Quality Production Improvement - QPI 1, no. 1 (July 1, 2019): 334–41. http://dx.doi.org/10.2478/cqpi-2019-0045.

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Abstract This article deals with determining of fatigue lifetime of aluminum alloy 6063-T66 during by multiaxial cyclic loading. The experiments deal with the testing of specimens for identification of the strain-life behavior of material, the modeling of combined loading and determining the number of cycles to fracture in the region of low-cycle fatigue. Fatigue tests under constant amplitude loading were performed in a standard electromechanical machine with a suitable gripping system. Based on the experimental results the fatigue design curves are compared to the fatigue data from the base material and the welded material and also multiaxial fatigue models, which are able to predict fatigue life at different loads.

11

Rial, Djihad, Hocine Kebir, Eric Wintrebert, and Jean-Marc Roelandt. "Multiaxial fatigue analysis of a metal flexible pipe." Materials & Design (1980-2015) 54 (February 2014): 796–804. http://dx.doi.org/10.1016/j.matdes.2013.08.105.

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12

Darban, Hossein, Mostafa Nosrati, and Faramarz Djavanroodi. "Multiaxial fatigue analysis of stranded-wire helical springs." International Journal of Damage Mechanics 24, no. 7 (November 24, 2014): 1013–25. http://dx.doi.org/10.1177/1056789514560914.

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13

Hojjati Talemi, Reza, Jie Zhang, Stijn Hertelé, and Wim De Waele. "Finite Element Analysis of Fretting Fatigue Fracture in Lug Joints Made of High Strength Steel." MATEC Web of Conferences 165 (2018): 11005. http://dx.doi.org/10.1051/matecconf/201816511005.

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Many structural applications are aiming for weight reduction by using high strength steel. In a lug joint the load is transmitted by a pin, which leads to a pressure distribution on the hole in the lug. When a lug joint is subjected to axial cyclic loading conditions, the stress distribution becomes multiaxial, i.e. a combination of normal and tangential stresses. In such loading case, a fretting crack initiates at the contact interface between the pin/lug connection which is followed by a fatigue crack propagation up to the final rupture of the lug. In this study, the fretting fatigue crack initiation and propagation in a pin/lug joint are simulated using multiaxial fatigue criterion and fracture mechanics, respectively. To do so, first a 2D finite element model is developed for obtaining stresses and strains at the contact interface in a pin/lug joint. Using the extracted data, fretting fatigue failure parameters are analysed. Next, the obtained stresses and strains are used to estimate the crack initiation lifetime using a fatigue multiaxial critical plane model. A 3D model is set-up to simulate the crack propagation using eXtended Finite Element Method (XFEM). Eventually, the predicted total fatigue lifetimes are compared against experimental observations taken from literature.

14

Garcia, Martin, Claudio A. Pereira Baptista, and Alain Nussbaumer. "Multiaxial fatigue study on steel transversal attachments under constant amplitude proportional and non-proportional loadings." MATEC Web of Conferences 165 (2018): 16007. http://dx.doi.org/10.1051/matecconf/201816516007.

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In this study, the multiaxial fatigue strength of full-scale transversal attachment is assessed and compared to original experimental results and others found in the literature. Mild strength S235JR steel is used and an exploratory investigation on the use of high strength S690QL steel and the effect of non-proportional loading is presented. The study focuses on non-load carrying fillet welds as commonly used in bridge design and more generally between main girders and struts. The experimental program includes 33 uniaxial and multiaxial fatigue tests and was partially carried out on a new multiaxial setup that allows proportional and non-proportional tests in a typical welded detail. The fatigue life is then compared with estimations obtained from local approaches with the help of 3D finite element models. The multiaxial fatigue life assessment with some of the well-known local approaches is shown to be suited to the analysis under multiaxial stress states. The accuracy of each models and approaches is compared to the experimental values considering all the previously cited parameters.

15

Cernescu, Anghel, and Rhys Pullin. "New research findings on non-proportional low cycle fatigue." MATEC Web of Conferences 300 (2019): 08003. http://dx.doi.org/10.1051/matecconf/201930008003.

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One of the challenges regarding multiaxial fatigue damage predictions is non-proportional loading. Relevant studies have shown that these multiaxial loadings cause significant additional hardening and reduction in durability due to non-proportionality. Fatigue life predictions due to non-proportional loadings are based on an equivalent non-proportional strain range that considers a material constant related to additional hardening and a non-proportionality factor. In this paper an analysis of the non-proportional factor for three multiaxial loadings forming a square in γ/√3 – ε coordinates is carried out. One of the observations revealed by this analysis is the sensitivity of the non-proportional factor to variable shear strain rate.

16

Zhang, Jian Bing, and Xiang Hong Lv. "Fatigue Analysis of the Drill String According to Multiaxial Stress." Advanced Materials Research 418-420 (December 2011): 993–96. http://dx.doi.org/10.4028/www.scientific.net/amr.418-420.993.

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To find out the cause for fatigue failure of a drill string used in oil field drilling, and considering the actual working conditions, axial, radial and circumferential cyclic stresses borne by the drill string in borehole of oil and gas well, fatigue strength of drill string is analyzed based on multi-axial fatigue assessment method. Then the formula to calculate the mean stress of multi-axial load of the drill string is obtained, and the formula serves as a method to calculate multi-axial fatigue life of the drill string, which has been verified through field data. It is realized that multi-axial stress has significant influence on drill string fatigue. When on drill string fatigue, Soderberg equation shall be employed to calculate the stress amplitude of drill string fatigue.

17

Pejkowski, Łukasz, Dariusz Skibicki, and Jan Seyda. "Fatigue behaviour of selected materials under multiaxial asynchronous loadings." MATEC Web of Conferences 300 (2019): 15006. http://dx.doi.org/10.1051/matecconf/201930015006.

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Four types of materials: PA38 aluminium alloy, E235 steel, E355 steel and 1.4301 austenitic steel were subjected to low-cycle multiaxial loadings. All tests were strain-controlled and typical, thin-walled, hollow specimens were used. Various synchronous and asynchronous loadings were applied. The analysis of experimental results involved: cyclic stress-strain response, fatigue life and observation of microcracks behaviour on the surfaces of fatigued specimens. Obtained results indicate that the difference in the strain components frequency of the asynchronous loadings has a significant influence on the fatigue behaviour of the materials.

18

Seo, Jung-Won, Hyun-Moo Hur, Hyun-Kyu Jun, Seok-Jin Kwon, and Dong-Hyeong Lee. "Fatigue Design Evaluation of Railway Bogie with Full-Scale Fatigue Test." Advances in Materials Science and Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/5656497.

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The bogie frame of a railway is an important structural member for the support of vehicle loading. In general, more than 25 years’ durability is necessary. Much study has been carried out in experimental and theoretical domains on the prediction of the structural integrity of the bogie frame. The objective of this paper is to estimate the structural integrity of the bogie frame of an electric railcar. Strength analysis has been performed by finite element analysis. From this analysis, stress concentration areas were investigated. To evaluate the loading conditions, dynamic stress was measured by strain gauge. It has been found that the stress and strain due to the applied loads were multiaxial conditions according to the location of the strain gauge. Fatigue strength evaluations of the bogie frame were performed to investigate the effect of a multiaxial load through the employment of a critical plane approach.

19

Hao, Meng-Fei, Shun-Peng Zhu, and Ding Liao. "New strain energy-based critical plane approach for multiaxial fatigue life prediction." Journal of Strain Analysis for Engineering Design 54, no. 5-6 (July 2019): 310–19. http://dx.doi.org/10.1177/0309324719873251.

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Based on critical plane approach, this article develops a new damage parameter through combing the equivalent strain energy aspect for multiaxial fatigue analysis, which includes no additional fitted parameters and overcomes the deficiency of using only equivalent stress/strain criterion separately under multiaxial loadings. Then, experimental data of GH4169, TC4, Al 7050-T7451 alloys under different loading conditions are applied for model validation and comparison with other four models. Results indicate that the proposed damage parameter yields better multiaxial fatigue life predictions than others.

20

Costa, Pedro, Richard Nwawe, Henrique Soares, Luís Reis, Manuel Freitas, Yong Chen, and Diogo Montalvão. "Review of Multiaxial Testing for Very High Cycle Fatigue: From ‘Conventional’ to Ultrasonic Machines." Machines 8, no. 2 (May 13, 2020): 25. http://dx.doi.org/10.3390/machines8020025.

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Fatigue is one of the main causes for in service failure of mechanical components and structures. With the development of new materials, such as high strength aluminium or titanium alloys with different microstructures from steels, materials no longer have a fatigue limit in the classical sense, where it was accepted that they would have ‘infinite life’ from 10 million (107) cycles. The emergence of new materials used in critical mechanical parts, including parts obtained from metal additive manufacturing (AM), the need for weight reduction and the ambition to travel greater distances in shorter periods of time, have brought many challenges to design engineers, since they demand predictability of material properties and that they are readily available. Most fatigue testing today still uses uniaxial loads. However, it is generally recognised that multiaxial stresses occur in many full-scale structures, being rare the occurrence of pure uniaxial stress states. By combining both Ultrasonic Fatigue Testing with multiaxial testing through Single-Input-Multiple-Output Modal Analysis, the high costs of both equipment and time to conduct experiments have seen a massive improvement. It is presently possible to test materials under multiaxial loading conditions and for a very high number of cycles in a fraction of the time compared to non-ultrasonic fatigue testing methods (days compared to months or years). This work presents the current status of ultrasonic fatigue testing machines working at a frequency of 20 kHz to date, with emphasis on multiaxial fatigue and very high cycle fatigue. Special attention will be put into the performance of multiaxial fatigue tests of classical cylindrical specimens under tension/torsion and flat cruciform specimens under in-plane bi-axial testing using low cost piezoelectric transducers. Together with the description of the testing machines and associated instrumentation, some experimental results of fatigue tests are presented in order to demonstrate how ultrasonic fatigue testing can be used to determine the behaviour of a steel alloy from a railway wheel at very high cycle fatigue regime when subjected to multiaxial tension/torsion loadings.

21

Wang, Ping, Zhan Qu, Jiong Zhang, Jian Bing Zhang, and Liang Wang. "A Multiaxial Fatigue Reliability Analysis Method of Casing Drilling in Casing String." Advanced Materials Research 347-353 (October 2011): 1749–53. http://dx.doi.org/10.4028/www.scientific.net/amr.347-353.1749.

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The Von Mises equivalent stress criteria is used to equivalent convert and correct the uniaxial and biaxial fatigue reliability experimental study of the casing material. And the probabilistic fatigue P–S–N curve of the casing is gained. The fatigue limit and fatigue life in test is equivalent convert to actual casing by combined stress correction factor. A multiaxial fatigue life calculation formula is proposed by correcting the probabilistic fatigue P–S–N curve.

22

Reis, Luís G., Vitor Anes, Bin Li, and Manuel de Freitas. "Effect of Non-Proportionality in the Fatigue Strength of 42CrMo4 Steel." Materials Science Forum 730-732 (November 2012): 757–62. http://dx.doi.org/10.4028/www.scientific.net/msf.730-732.757.

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The unexpected collapse of engineering structures is often caused by the fatigue phenomenon resulting from degradation of mechanical properties of materials due to multiaxial cyclic loadings. The interpretation of such degradation is a topic of intensive research in multiaxial fatigue. The fatigue strength is commonly evaluated by the equivalent stress based on the shear stress in the octahedral plane. However, the use of this kind of equivalent stress in the multiaxial fatigue criteria has been proven to be inappropriate. The degradation of mechanical properties of materials is dependent on several factors, e.g. the loading path has a strong influence on the fatigue strength. Non-proportional loadings cause higher damage in materials than proportional loadings for the same maximum equivalent stress. The purpose of this work is to study the effect of different multiaxial loadings on the 42CrMo4 steel and to improve the understanding about the relation between the fatigue strength and the sequential loading proportionality. The considered loadings were defined with the same history but with different load sequences and equivalent stress. To implement this work a biaxial servo-hydraulic fatigue machine was used. The fatigue life and crack angle were measured for each specimen. An analysis was made in order to correlate the crack initiation and fatigue life with the theoretical models, some remarks regarding these topics are presented.

23

Margetin, Matus, and Dominik Biro. "Performance of chosen multiaxial cycle counting method under non-proportional multiaxial variable loading." MATEC Web of Conferences 165 (2018): 16008. http://dx.doi.org/10.1051/matecconf/201816516008.

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One of the most crucial tasks in fatigue life-time estimation of components loaded with multiaxial variable amplitude loading is to correctly identify loading cycles that can be used with multiaxial damage criterions. During past years, several cycle counting methods have been proposed for multiaxial loading conditions. The aim of this text is the comparison of selected multiaxial cycle counting methods, namely Wang-Brown’s method, Modified Wang-Brown’s method, Bannantine-Socie’s method and then a critical analysis of the obtained results. For the comparison of chosen methods, a new data set, consisting of experimentally obtained results from multiaxial non-proportional variable amplitude loading tests carried on by authors, has been used. The tested specimens were made from S355J0 structural steel and the testing procedure has been carried out on the MTS Axial/Torsion servo hydraulic testing machine. Findley and McDiarmid multiaxial criterion with Palgren-Miner summation rule have been used for fatigue life-time estimation of the tested specimens.

24

Xiao, W. L., H. B. Chen, and J. F. Jin. "Fatigue Life Prediction Strategies for High-Heat-Load Components." Key Engineering Materials 452-453 (November 2010): 789–92. http://dx.doi.org/10.4028/www.scientific.net/kem.452-453.789.

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High-heat-load components such as photon shutters and masks made of Glidcop Al-15 are subjected to intense thermal cycles from the X-ray beams at the third generation light sources. This paper presents thermal fatigue life prediction results of high-heat-load components at the beam line front end of Shanghai Synchrotron Radiation Facility (SSRF) under different power conditions. Used in this analysis are four typical multiaxial fatigue life prediction models, i.e. the maximum principal strain model, equivalent vonMises strain model, maximum shear strain model and critical plane approach. Detailed comparisons among them were implemented from various aspects including applicable conditions, physical meanings and resultant veracities. Critical plane approach was finally determined to be more appropriate method for dealing with multiaxial fatigue of high-heat-load components. To obtain the multiaxial stress-strain fields, nonlinear finite element analysis (FEA) was performed with commercial software ANSYS.

25

Zhang, Ze Rong, and Jun Xu. "Fatigue Analysis of Linear Vibrating Screen with Different Surface Roughness." Key Engineering Materials 561 (July 2013): 564–67. http://dx.doi.org/10.4028/www.scientific.net/kem.561.564.

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The multiaxial stress is acted on the sidewall and beams of the large linear vibrating screen. So the critical plane method is used for calculating the fatigue lives of the large linear vibrating screen. The logarithm fatigue lives nephogram is drawn and the logarithm fatigue lives of large linear vibrating screen are analyzed. The local logarithm fatigue lives for different surface roughness of the vibrating screen is calculated and the results shows that the fatigue lives decrease quickly when the surface roughness increases.

26

Mars, W. V. "Multiaxial Fatigue Crack Initiation in Rubber." Tire Science and Technology 29, no. 3 (July 1, 2001): 171–85. http://dx.doi.org/10.2346/1.2135237.

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Abstract This paper describes a new model for predicting multiaxial fatigue crack initiation in rubber. The work is motivated by a need to predict crack initiation life in tires, based on strain histories obtained via finite element analysis. The new model avoids the need to explicitly include cracks in the finite element model, and applies when the cracks are small compared to the strain gradient. The model links the far-field strain state to the energy release rate of an assumed intrinsic flaw. This is accomplished through a new parameter, the cracking energy density. The cracking energy density is the portion of the total elastic strain energy density that is available to be released on a given material plane. The model includes an algorithm to select the material plane which minimizes the life prediction for a given strain history. The consequences of the theory for simple strain histories are presented, as well as predictions for more complicated histories. The theory is compared with published data, and with new results from recent combined axial/torsion fatigue experiments.

27

Grzelak, J., T. Lagoda, and E. Macha. "Spectral analysis of the criteria for multiaxial Random Fatigue." Materialwissenschaft und Werkstofftechnik 22, no. 3 (March 1991): 85–98. http://dx.doi.org/10.1002/mawe.19910220304.

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28

Del Llano-Vizcaya, L., C. Rubio-González, G. Mesmacque, and T. Cervantes-Hernández. "Multiaxial fatigue and failure analysis of helical compression springs." Engineering Failure Analysis 13, no. 8 (December 2006): 1303–13. http://dx.doi.org/10.1016/j.engfailanal.2005.10.011.

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29

Brown, M. W., D. K. Surer, and C. H. Wang. "AN ANALYSIS OF MEAN STRESS IN MULTIAXIAL RANDOM FATIGUE." Fatigue & Fracture of Engineering Materials and Structures 19, no. 2-3 (February 1996): 323–33. http://dx.doi.org/10.1111/j.1460-2695.1996.tb00970.x.

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30

Gates, Nicholas, and Ali Fatemi. "Multiaxial variable amplitude fatigue life analysis including notch effects." International Journal of Fatigue 91 (October 2016): 337–51. http://dx.doi.org/10.1016/j.ijfatigue.2015.12.011.

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31

Dubourg, M.-C., Y. Berthier, and L. Vincent. "Cracking under fretting fatigue: Damage prediction under multiaxial fatigue." Journal of Strain Analysis for Engineering Design 37, no. 6 (August 1, 2002): 519–33. http://dx.doi.org/10.1243/030932402320950134.

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Fretting is one of the plagues of modern industry. It occurs whenever a junction between components is subjected to cyclic sliding, with small relative displacements at the interface of the contacting surfaces. Further cyclic bulk stresses may be superimposed on to one or both components. The investigation of fretting wear and fretting fatigue started in the early 1970s. It is responsible for premature fatigue failures and often limits the life of a component. Crack initiation and growth under fretting contact conditions have been investigated. The fretting map concepts allow the first degradation responses of the material—no degradation, cracking and wear—to be related to a fretting regime with its corresponding local contact conditions during fretting tests. The fretting fatigue prediction models have been developed and compared to experiments conducted either on metallic or photoelastic materials. A special emphasis has been directed towards crack nucleation and early growth during stage I, the stage I-stage II transition and stage II crack growth (crack initiation sites, orientation, growth path, formation of a branch, growth mechanism). The analysis of the different stages that comprise the crack lifetime has been carried out in order to understand the effects of diverse parameters that are thought to influence the fretting damage.

32

Jussila, Joonas, Sami Holopainen, Terhi Kaarakka, Reijo Kouhia, Jari Mäkinen, Heikki Orelma, Niels Saabye Ottosen, Matti Ristinmaa, and Timo Saksala. "A new paradigm for fatigue analysis - evolution equation based continuum approach." Rakenteiden Mekaniikka 50, no. 3 (August 22, 2017): 333–36. http://dx.doi.org/10.23998/rm.65096.

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A very general continuum based approach to model both low- and high cycle fatiguebehaviour is described. The approach allows for both isotropic and anisotropic properties undervery general random multiaxial loading histories.

33

Umeda, Hiroshi, Masao Sakane, and Masateru Ohmani. "Notch Root Displacement (NRD) Approach to Predict Crack Initiation Life of Notched Specimen in High-Temperature Multiaxial Low Cycle Fatigue." Journal of Engineering Materials and Technology 112, no. 4 (October 1, 1990): 429–34. http://dx.doi.org/10.1115/1.2903353.

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This paper describes the notch root displacement (NRD) approach to assess the crack initiation life of notched specimens in high-temperature multiaxial low cycle fatigue. Two and three-dimensional finite element method (FEM) analyses were made to estimate the local displacement at the notch root in tension, torsion, and combined tension/torsion. From the FEM analysis, a simple equation which expresses the intensity of the notch root displacement was derived and it was applied to the experimental data. The equation well correlates the crack initiation life of the notched specimen in high-temperature multiaxial low cycle fatigue.

34

Zhao, Dongfu, Haijing Gao, Huixuan Liu, Penghe Jia, and Jianhui Yang. "Fatigue Properties of Plain Concrete under Triaxial Tension-Compression-Compression Cyclic Loading." Shock and Vibration 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/9351820.

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Fatigue tests were performed on plain concrete under triaxial tension-compression-compression (T-C-C) cyclic loading with constant and variable amplitude using a large multiaxial machine. Experimental results show that, under constant amplitude fatigue loads, the development of residual strain in the fatigue loading direction depends mostly on the lateral compressive stress ratio and is nearly independent of stress level. Under variable amplitude fatigue loads, the fatigue residual strain is related to the relative fatigue cycle and lateral compressive stress ratio but has little relationship with the loading process. To model this system, the relative residual strain was defined as the damage variant. Damage evolutions for plain concrete were established. In addition, fatigue damage analysis and predictions of fatigue remaining life were conducted. This work provides a reference for multistage fatigue testing and fatigue damage evaluation of plain concrete under multiaxial loads.

35

Badara Camara, Aliou, Fabienne Pennec, Sébastien Durif, Jean-Louis Robert, and Abdelhamid Bouchaïr. "Fatigue life assessment of bolted connections." MATEC Web of Conferences 165 (2018): 10009. http://dx.doi.org/10.1051/matecconf/201816510009.

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The work presented in this paper deals with the fatigue damage assessment of bolted joints. The influence of the preload is particularly underlined as it is shown that it strongly improves the fatigue resistance of the bolt whatever the geometrical parameters are. A 3D tee-stub model with the bolt submitted to preload force is simulated by using the Salome-Meca FEM software. A parametric study is also carried out to analyse the influence of the bolt location m and the column flange thickness tf onto the bolt loading. In order to analyse the effect of the stress concentration generated by the head-shank transition of the screw, a second 3D finite bolt element model is developed. This allows to exhibit multiaxial stress states in the vicinity of the fillet radius. Finally, a multiaxial fatigue post-treatment tool has been implemented on Matlab software for damage assessment purpose. Two multiaxial fatigue criteria approaches contribute to this tool and may be used for fatigue behaviour prediction. The so-called critical plane approach (Dang Van criterion) and the integral approach (Zenner criterion) may consequently be compared for that analysis.

36

Sága, Milan, Milan Vaško, Zuzanka Ságová, Ivan Kuric, Peter Kopas, and Marian Handrik. "FEM Simulation of Non-proportional Multiaxial Fatigue Damage." MATEC Web of Conferences 357 (2022): 02006. http://dx.doi.org/10.1051/matecconf/202235702006.

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The paper deals with implementation of the optimizing process into multi-axial rainflow analysis and cumulative damage calculation. It’s presented computational program FEA_FAT compiled in MATLAB. Stress analysis is realized by finite element procedure and the cumulative damage can be calculated by using two fundamental ways – critical plane approach and so called integral approach. Testing example presents random stress analysis and damage prediction of a simple FE model with non-proportional loading.

37

Kopas, Peter, Saga Milan, and Milan Uhríčik. "Contribution to Multiaxial Damage Calculation Using FEM." Applied Mechanics and Materials 420 (September 2013): 318–24. http://dx.doi.org/10.4028/www.scientific.net/amm.420.318.

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The paper deals with chosen criterions designed for calculation of multiaxial cumulative fatigue damage. Algorithms are implemented into the programming language MATLAB. Necessary inputs for calculation of cumulative fatigue damage are usually stresses and strains. These data have obtained from FE analysis. Presented approaches have applied for damage prediction of the piston-rod of the car engine.

38

Chen, Hong, De Guang Shang, Yu Jie Tian, and Guang Wei Xu. "Multiaxial Fatigue Life Prediction for Notched Components under Proportional and Non-Proportional Cyclic Loading." Applied Mechanics and Materials 197 (September 2012): 585–89. http://dx.doi.org/10.4028/www.scientific.net/amm.197.585.

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Fatigue life estimation of notched components is mostly dependent on notch stress and strain calculation with non-linear finite element analysis (FEA). For multiaxial cyclic loading, the stress-strain analysis of notch root is rather complex and the non-linear FEA is also very time-consuming. In this paper, a new fatigue life prediction method for notched components under multiaxial loading is proposed. First, a linear elastic solution needs to be solved for notched components under multiaxial cyclic loading. Then, an elastic equivalent parameter is computed using the linear elastic solution. On the basis of the elastic equivalent parameter combined with the Neuber’s rule, an elastic-plastic equivalent parameter is obtained. Finally, the elastic-plastic equivalent parameter is used to estimate fatigue crack initiation life of notched components. The proposed method needs only elastically calculated notch strain history as the basic input and is convenient for engineering application. The method is verified with experimental data of SAE 1045 notched shaft specimens under proportional and non-proportional loading. The results showed that the method can provide good life estimates.

39

Niesłony, Adam, Michał Böhm, and Robert Owsiński. "General Procedure for Formulation of Multiaxial Fatigue Failure Criteria in Frequency Domain." MATEC Web of Conferences 300 (2019): 15007. http://dx.doi.org/10.1051/matecconf/201930015007.

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Fatigue life assessment under multiaxial loading conditions needs the use of multiaxial fatigue failure criteria. There are many formulations of such criteria which are usually divided in the groups of critical plane criteria and invariants based criteria. Other classifications refer to the parameter that determines fatigue, and these are stress, strain and energy criteria. Recently, the development of computational techniques for fatigue analysis in the frequency domain have been noticed. Analyzing the literature, it can be noted that these criteria are mainly created by the new formulation of them in the new domain. There is therefore a need to develop a general approach to the problem of formulating criteria in the frequency domain on the basis of existing proposals for the time domain. The paper presents the manner in which the values appearing in the criteria in the frequency domain can be determined. In particular, the process of formulating criteria of multiaxial random fatigue, using the critical plane approach proposed by Macha was presented. During the formation the linearity of such criteria was successfully used. Situations that indicate the correctness of transformations are also presented.

40

Gates, Nicholas R., Ali Fatemi, Darrell F. Socie, and Nam Phan. "Notched Fatigue Behavior under Multiaxial Stress States." Advanced Materials Research 891-892 (March 2014): 185–90. http://dx.doi.org/10.4028/www.scientific.net/amr.891-892.185.

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Most engineering components and structures contain stress concentrations, such as notches. The state of stress at such concentrations is typically multiaxial due to the notch geometry, and/or multiaxiality of the loading. Significant portions of the fatigue life of notched members are usually spent in crack initiation (crack formation and microscopic growth) and macroscopic crack growth. Synergistic complexity of combined stress and stress concentration has been evaluated in a limited number of studies. Available experimental evidence suggests the current life estimation and fatigue damage analysis techniques commonly used may not be capable of accurate predictions for such complex and yet highly practical conditions. This paper investigates notched fatigue behavior under multiaxial loads using aluminum alloys. Many effects involved in such loading conditions are included. These include the effects of stress state (axial, torsion, combined axial-torsion), geometry condition (smooth versus notched), and damage evolution stage (nucleation and micro-crack growth versus long crack growth).

41

Wang, Y., and J. Pan. "Analysis of Small Edge Cracks and Its Implications to Multiaxial Fatigue Theories." Journal of Pressure Vessel Technology 123, no. 1 (October 20, 2000): 2–9. http://dx.doi.org/10.1115/1.1342012.

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The near-tip fields of small edge (Case B) cracks in power-law hardening materials are investigated under generalized plane strain, mixed mode, and general yielding conditions by finite element analyses. The results of the J integral from the finite element analyses are used to correlate to a fatigue crack growth criterion for Case B cracks. The trend of constant J contours on the Γ-plane is compared reasonably well with those of the experimental results of constant fatigue life and constant fatigue crack growth rate under multiaxial loading conditions.

42

Abreu, L. M. P., José Domingos M. Costa, José A. Martins Ferreira, and Fernando Antunes. "In-Phase Multiaxial Fatigue Analysis of Tubular AlMgSi Welded Specimens." Materials Science Forum 455-456 (May 2004): 303–6. http://dx.doi.org/10.4028/www.scientific.net/msf.455-456.303.

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43

Pitatzis, N., G. Savaidis, A. Savaidis, and Chuan Zeng Zhang. "Fatigue Analysis of Notched Shafts under Multiaxial Synchronous Cyclic Loading." Key Engineering Materials 348-349 (September 2007): 233–36. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.233.

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Parametrical elastic-plastic finite element analyses of a circumferentially notched shaft subjected to multiaxial synchronous fatigue loading are performed considering two load combinations: (1) constant tension with cyclic torsion and (2) constant torsion with cyclic tensioncompression. The load amplitudes and the mean loads are varied to investigate their influences on the local stress-strain responses. The Multilayer Plasticity Model of Besseling in conjunction with the von Mises yield criterion is applied to describe the elastic-plastic material behavior. Coarse and fine meshes as well as three different types of multilinear approximations (twenty-, five- and threesegments) of the material stress-strain curve are used. Numerical results are presented to reveal the mutual interactions between the applied normal and torsional loads and the stress-strain response at the notch-root.

44

Nadot, Y., and V. Denier. "Fatigue failure of suspension arm: experimental analysis and multiaxial criterion." Engineering Failure Analysis 11, no. 4 (August 2004): 485–99. http://dx.doi.org/10.1016/j.engfailanal.2003.12.001.

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45

Zhang, S. W., Y. T. Song, Z. W. Wang, S. Lu, X. Ji, S. S. Du, X. F. Liu, et al. "Multiaxial fatigue analysis for IMIC of ITER upper ELM coil." Fusion Engineering and Design 89, no. 4 (April 2014): 385–91. http://dx.doi.org/10.1016/j.fusengdes.2014.03.043.

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46

Lok, S. Krishna, J. Manoj Paul, and Vanam Upendranath. "Prescience Life of Landing Gear Using Multiaxial Fatigue Numerical Analysis." Procedia Engineering 86 (2014): 775–79. http://dx.doi.org/10.1016/j.proeng.2014.11.097.

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47

Pitoiset, X., and A. Preumont. "Spectral methods for multiaxial random fatigue analysis of metallic structures." International Journal of Fatigue 22, no. 7 (August 2000): 541–50. http://dx.doi.org/10.1016/s0142-1123(00)00038-4.

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48

Ismail, Al Emran, Ahmad Kamal Ariffin, Shahrum Abdullah, and Mariyam Jameelah Ghazali. "Probabilistic High Cycle Multiaxial Fatigue Analysis Using Finite Element Method." HKIE Transactions 18, no. 2 (January 2011): 13–18. http://dx.doi.org/10.1080/1023697x.2011.10668226.

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49

Ince, A., and G. Glinka. "Innovative computational modeling of multiaxial fatigue analysis for notched components." International Journal of Fatigue 82 (January 2016): 134–45. http://dx.doi.org/10.1016/j.ijfatigue.2015.03.019.

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50

Fatemi, A., R. Molaei, and N. Phan. "Multiaxial fatigue of additive manufactured metals: Performance, analysis, and applications." International Journal of Fatigue 134 (May 2020): 105479. http://dx.doi.org/10.1016/j.ijfatigue.2020.105479.

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