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Journal articles on the topic 'Quarter-point'

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Published: 4 June 2021
Last updated: 4 February 2022

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1

Banks-Sills, Leslie. "Quarter-point singular elements revisited." International Journal of Fracture 34, no. 4 (August 1987): R63—R69. http://dx.doi.org/10.1007/bf00013086.

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2

Gray, L. J., A. V. Phan, Glaucio H. Paulino, and T. Kaplan. "Improved quarter-point crack tip element." Engineering Fracture Mechanics 70, no. 2 (January 2003): 269–83. http://dx.doi.org/10.1016/s0013-7944(02)00027-9.

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3

Murti, V., and S. Valliappan. "A universal optimum quarter point element." Engineering Fracture Mechanics 25, no. 2 (January 1986): 237–58. http://dx.doi.org/10.1016/0013-7944(86)90220-1.

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4

Murti, Viriyawan, Somasundatam Valliappan, and Ian Kenneth Lee. "Stress Intensity Factor Using Quarter Point Element." Journal of Engineering Mechanics 111, no. 2 (January 1985): 203–17. http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:2(203).

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5

Ma, Wei-Hu, Jian-Song Wang, S. Mukherjee, Qi Wang, D. Patel, Yan-Yun Yang, Jun-Bing Ma, et al. "Correlation between quarter-point angle and nuclear radius." Chinese Physics C 41, no. 4 (April 2017): 044103. http://dx.doi.org/10.1088/1674-1137/41/4/044103.

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6

Sáez, A., R. Gallego, and J. Dominguez. "Hypersingular quarter-point boundary elements for crack problems." International Journal for Numerical Methods in Engineering 38, no. 10 (May 30, 1995): 1681–701. http://dx.doi.org/10.1002/nme.1620381006.

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7

de Almeida, F. I. A., and M. S. Hussein. "Deformation effects in the heavy ion quarter-point angle." Physical Review C 31, no. 6 (June 1, 1985): 2120–27. http://dx.doi.org/10.1103/physrevc.31.2120.

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8

An, Shan, Zhibiao Huang, Shuang Bai, Guangfu Che, Xin Ma, Jie Luo, and Yu Chen. "Quarter-Point Product Quantization for approximate nearest neighbor search." Pattern Recognition Letters 125 (July 2019): 187–94. http://dx.doi.org/10.1016/j.patrec.2019.04.017.

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9

Bryant, David M., Mark J. Ducey, James C. Innes, Thomas D. Lee, Robert T. Eckert, and Daniel J. Zarin. "Forest community analysis and the point-centered quarter method." Plant Ecology 175, no. 2 (January 2005): 193–203. http://dx.doi.org/10.1007/s11258-005-0013-0.

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10

Ramamurthy, T. S., T. Krishnamurthy, K. Badari Narayana, K. Vijayakumar, and B. Dattaguru. "Modified crack closure integral method with quarter point elements." Mechanics Research Communications 13, no. 4 (July 1986): 179–86. http://dx.doi.org/10.1016/0093-6413(86)90016-9.

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11

Carpinteri, Andrea. "Surface flaw stress intensity factor computation with quarter-point elements." Journal of Strain Analysis for Engineering Design 28, no. 2 (April 1, 1993): 117–23. http://dx.doi.org/10.1243/03093247v282117.

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The stress intensity factor along the front of a semi-elliptical surface flaw subjected to tension or bending loading is calculated by means of a finite element analysis carried out with twenty node isoparametric three-dimensional elements. The stress and strain singular behaviour in the vicinity of the defect is modelled by moving the finite element midside nodes near the crack front to quarter-point positions. An extensive analysis is carried out by assuming different values of the flaw aspect ratio (0.2., 0.4, 0.6, 0.8, and 1.0), while the relative depth of the crack's deepest point is varied from 0.1 to 0.4. As regards the crack configurations previously tackled in the literature, the agreement between the results of the present study and those obtained by other authors is quite satisfactory, especially for small relative crack depths.
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12

D'Hoker, Eric, and Anton V. Ryzhov. "Three-Point Functions of Quarter BPS Operators inN= 4 SYM." Journal of High Energy Physics 2002, no. 02 (February 28, 2002): 047. http://dx.doi.org/10.1088/1126-6708/2002/02/047.

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13

Mohamed Asan Basiri, M., and S. k. Noor Mohammad. "Quadruple throughput fixed point quarter precision multiply accumulate circuit design." IET Computers & Digital Techniques 11, no. 5 (August 7, 2017): 183–89. http://dx.doi.org/10.1049/iet-cdt.2017.0051.

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14

Murti, V., and S. Valliappan. "The use of quarter point element in dynamic crack analysis." Engineering Fracture Mechanics 23, no. 3 (January 1986): 585–614. http://dx.doi.org/10.1016/0013-7944(86)90164-5.

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15

Volpato, Graziele Hernandes, Sebastião Venâncio Martins, Joema Carvalho, and Luiz dos Anjos. "Accuracy and efficiency evaluation of point-centered quarter method variations for vegetation sampling in an araucaria forest." Revista Árvore 34, no. 3 (June 2010): 513–20. http://dx.doi.org/10.1590/s0100-67622010000300015.

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In order to verify Point-Centered Quarter Method (PCQM) accuracy and efficiency, using different numbers of individuals by per sampled area, in 28 quarter points in an Araucaria forest, southern Paraná, Brazil. Three variations of the PCQM were used for comparison associated to the number of sampled individual trees: standard PCQM (SD-PCQM), with four sampled individuals by point (one in each quarter), second measured (VAR1-PCQM), with eight sampled individuals by point (two in each quarter), and third measuring (VAR2-PCQM), with 16 sampled individuals by points (four in each quarter). Thirty-one species of trees were recorded by the SD-PCQM method, 48 by VAR1-PCQM and 60 by VAR2-PCQM. The level of exhaustiveness of the vegetation census and diversity index showed an increasing number of individuals considered by quadrant, indicating that VAR2-PCQM was the most accurate and efficient method when compared with VAR1-PCQM and SD-PCQM.
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16

JI, XING. "ON FRACTURE CRITERIA FOR BI-MATERIAL CORNERS." International Journal of Applied Mechanics 06, no. 05 (October 2014): 1450062. http://dx.doi.org/10.1142/s1758825114500628.

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The prediction of crack nucleation near interface end in bi-material corners with definite wedge angles is fairly established. It takes Irwin-like form involving the stress intensity factor. Such a criterion requires the stress intensity factor of bi-material corners with same dimension, but the dimension of stress intensity factor of bi-material corner depends on wedge angles. The paper aims at the dimension problem. Particular attentions are paid to both the rigorous and asymptotic solutions of bi-material corners, because the asymptotic solution describes the stress singularity with stress intensity factor, and the rigorous solution describes the stress singularity with stress components. Studies on solutions of edge-bonded quarter and quarter planes and edge-bonded half and quarter planes lead to the following results. A unique point is found which divides the interfacial shear stress curve into an asymptotic part and a basic part. This point is called the transition point. Then, a relation between the stress intensity factor in the asymptotic part and the interfacial shear stress at the transition point is derived. This relation enables a fracture criterion of Irwin-like form for edge-bonded quarter and quarter planes and edge-bonded half and quarter planes to be formulated. To formulate a unified fracture criterion for arbitrary bi-material corners, further works are needed.
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17

Hinneh, Perry, and Pi Hua Wen. "Displacement Correlation Technique for Interface Crack by FEM." Key Engineering Materials 713 (September 2016): 346–49. http://dx.doi.org/10.4028/www.scientific.net/kem.713.346.

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Interface crack is evaluated using modified quarter point crack tip displacement method. Quarter point elements around the crack tip were employed in the Finite Element (ABAQUS) analysis to determine the near crack tip grid point displacements. In this study, a technique is adopted in which the crack opening displacement of the near crack tip grid point is forced to satisfy a known constraint. The linear term in the distance around the crack tip is reduced to zero. The complex stress intensity factor for interface crack is determined using the quarter point and the displacement correlation technique. It is well observed that FEM produce a less reliable displacement approximation around interface crack tip. However, this report will show that the use of near crack tip open displacement as determined by the standard finite element method can be utilised to give satisfactory result for the interface stress intensity factors K1 and K2.
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18

Lim, I. L., I. W. Johnston, and S. K. Choi. "On stress intensity factor computation from the quarter-point element displacements." Communications in Applied Numerical Methods 8, no. 5 (May 1992): 291–300. http://dx.doi.org/10.1002/cnm.1630080503.

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19

Yehia, Nabil A. B., and Mark S. Shephard. "On the effect of quarter-point element size on fracture criteria." International Journal for Numerical Methods in Engineering 21, no. 10 (October 1985): 1911–24. http://dx.doi.org/10.1002/nme.1620211014.

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20

Parsaie, Abbas, and Amir Hamzeh Haghiabi. "Inception point of flow aeration on quarter-circular crested stepped spillway." Flow Measurement and Instrumentation 69 (October 2019): 101618. http://dx.doi.org/10.1016/j.flowmeasinst.2019.101618.

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21

Banks-Sills, Leslie, and Dov Sherman. "On quarter-point three-dimensional finite elements in linear elastic fracture mechanics." International Journal of Fracture 41, no. 3 (November 1989): 177–96. http://dx.doi.org/10.1007/bf00018656.

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22

Banks-Sills, Leslie, and Dov Sherman. "Comparison of methods for calculating stress intensity factors with quarter-point elements." International Journal of Fracture 32, no. 2 (October 1986): 127–40. http://dx.doi.org/10.1007/bf00019788.

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23

Stuart‐Hill, G. C. "Evaluation of the point‐centred‐quarter method of sampling Kaffrarian Succulent Thicket." African Journal of Range & Forage Science 12, no. 2 (August 1995): 72–75. http://dx.doi.org/10.1080/10220119.1995.9647867.

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24

Heyllger, P. R. "On conventional and quarter-point mixed elements in linear elastic fracture mechanics." Engineering Fracture Mechanics 31, no. 1 (January 1988): 157–71. http://dx.doi.org/10.1016/0013-7944(88)90129-4.

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25

Liu, C. H., and Jui-Hsiang Lin. "Finite Element Analysis of Interface Cracks Using Multiple Point Constraints." Journal of Strain Analysis for Engineering Design 41, no. 4 (May 1, 2006): 311–21. http://dx.doi.org/10.1243/03093247jsa112.

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A finite element technique to analyse closed-mode interface cracks is proposed in this study. Stress boundary conditions for a closed-tip model are transformed into multiple point constraints (MPCs) for nodal displacements. These constraints are imposed upon the finite element solutions to simulate closed-tip stress fields in crack-tip elements. This technique can deal with small as well as large crack-tip contact zones, and no special elements other than the standard quarter-point elements are needed. Since stresses approach infinity at the crack tip in a quarter-point element, dominant terms are used in deriving MPCs for nodal displacements. Fracture parameters are obtained by using the virtual crack extension method, and numerical results are in good agreement with analytical results.
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26

Zhou, Jiale, Chuanxi Li, Lu Ke, Jun He, and Zhifeng Wang. "Experimental Study on Loading Capacity of Glued-Laminated Timber Arches Subjected to Vertical Concentrated Loads." Advances in Civil Engineering 2020 (May 22, 2020): 1–9. http://dx.doi.org/10.1155/2020/7987414.

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Glued-laminated timber arches are widely used in gymnasiums, bridges, and roof trusses. However, studies on their mechanical behaviours and design methods are still insufficient. This paper investigates the in-plane loading capacity of circular glued-laminated timber arches made of Douglas fir. Experiments were conducted on four timber-arch models with different rise-to-span ratios under concentrated loads at mid-span and quarter-point locations. The structural responses, failure modes, and loading capacity of the timber arch specimens were obtained. The results show that the timber arches presented symmetric and antisymmetric deformation under mid-point and quarter-point loading conditions, respectively. The downward shifting of the neutral axis of the cross section was observed under mid-point loading condition, which contributes to higher loading capacity compared to that under quarter-point loading condition. The loading condition significantly affects the ultimate loads and the strain distribution in the cross section. Based on the design formula in current standards for timber structures, an equivalent beam-column method was introduced to estimate the loading capacity of the laminated timber arches under vertical concentrated loads. The moment amplification factor in the formula was compared and discussed, and the value provided in the National Design Specification for Wood Construction was recommended with acceptable accuracy.
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27

Keating, Patrick. "The plot point, the darkest moment, and the answered question: three ways of modelling the three-quarter-point." Journal of Screenwriting 2, no. 1 (January 1, 2011): 85–98. http://dx.doi.org/10.1386/josc.2.1.85_1.

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28

Bona, Jerry, Hongqiu Chen, Shu Ming Sun, and B. Y. Zhang. "Comparison of quarter-plane and two-point boundary value problems: the BBM-equation." Discrete & Continuous Dynamical Systems - A 13, no. 4 (2005): 921–40. http://dx.doi.org/10.3934/dcds.2005.13.921.

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29

L. Bona, Jerry, Hongqiu Chen, Shu-Ming Sun, and Bing-Yu Zhang. "Comparison of quarter-plane and two-point boundary value problems: The KdV-equation." Discrete & Continuous Dynamical Systems - B 7, no. 3 (2007): 465–95. http://dx.doi.org/10.3934/dcdsb.2007.7.465.

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30

Silva, Lurdes Borges, Mário Alves, Rui Bento Elias, and Luís Silva. "Comparison ofT-Square, Point Centered Quarter, andN-Tree Sampling Methods inPittosporum undulatumInvaded Woodlands." International Journal of Forestry Research 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/2818132.

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Tree density is an important parameter affecting ecosystems functions and management decisions, while tree distribution patterns affect sampling design.Pittosporum undulatumstands in the Azores are being targeted with a biomass valorization program, for which efficient tree density estimators are required. We comparedT-Square sampling, Point Centered Quarter Method (PCQM), andN-tree sampling with benchmark quadrat (QD) sampling in six 900 m2plots established atP. undulatumstands in São Miguel Island. A total of 15 estimators were tested using a data resampling approach. The estimated density range (344–5056 trees/ha) was found to agree with previous studies using PCQM only. Although with a tendency to underestimate tree density (in comparison with QD), overall,T-Square sampling appeared to be the most accurate and precise method, followed by PCQM. Tree distribution pattern was found to be slightly aggregated in 4 of the 6 stands. Considering (1) the low level of bias and high precision, (2) the consistency among three estimators, (3) the possibility of use with aggregated patterns, and (4) the possibility of obtaining a larger number of independent tree parameter estimates, we recommend the use ofT-Square sampling inP. undulatumstands within the framework of a biomass valorization program.
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31

Qi, Hui, Guang Long Luo, Xiang Nan Pan, and Chun Gao. "A Green Function of Vertical Interfacial Point Source SH Wave Scattering by a Circular Lining in an Elastic Quarter Space." Applied Mechanics and Materials 644-650 (September 2014): 1569–72. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.1569.

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An anti-plane Green function is formulated for steady state solution of a circular lining impacted by a vertical interfacial point source in an elastic quarter space. Series forms of scattering and stationary wave of the circular lining are constructed with Fourier wave function expansion method. Basic solution of the anti-plane point source is employed to represent displacement fields of incident wave. Stress-free conditions on the quarter bounds are satisfied by using image method. Displacement and stress continuity conditions of the lining are expanded as Fourier series to determine definite equations of unknown coefficients of wave function series.
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32

Hawkes, Clare, and Kimberley Norris. "Time-dependent mood fluctuations in Antarctic personnel: a meta-analysis." Polar Record 53, no. 5 (September 2017): 534–49. http://dx.doi.org/10.1017/s003224741700050x.

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ABSTRACTThe third-quarter phenomenon is the dominant theoretical model to explain the psychological impacts of deployment in Antarctica on personnel. It posits that detrimental symptoms to functioning, such as negative mood, increase gradually throughout deployment and peak at the third-quarter point, regardless of overall deployment length. However, there is equivocal support for the model. The current meta-analysis included data from 21 studies (involving 1,826 participants) measuring negative mood during deployment to elucidate this discrepancy. Across studies analyses were conducted on three data types: stratified by month using repeated-measured all time points meta-analytic techniques and pre/post-deployment data for summer/winter deployment seasons. Our results did not support the proposed parameters of the third-quarter phenomenon, as negative mood did not peak at the third-quarter point (August/September) of deployment. Overall effect sizes indicated that negative mood was greater at baseline than the end of deployment for summer and winter deployment seasons. These findings have theoretical and practical implications and should be used to guide future research, assisting in the development and modification of pre-existing prevention and intervention programmes to improve well-being and functioning of personnel during Antarctic deployment.
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33

Barrell, Ray, and Dawn Holland. "Risk and the UK exchange rate." National Institute Economic Review 203 (January 2008): 54–56. http://dx.doi.org/10.1177/0027950108089676.

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Sterling has fallen markedly against other currencies in the past few months, and in January reached its lowest point against the euro (or its equivalent) since the last quarter of 1996, as we can see from figure 1, which uses the first three weeks of January 2008 as an indicator of the value that will be achieved in the whole first quarter. Sterling has also weakened against the dollar in the past few months, although it remains at a high level. In effective terms, sterling fell on average by 2.5 per cent in the fourth quarter, and in early January it was more than 6 per cent lower than the average for the previous quarter. The fall was largely unanticipated, and the effective exchange rate for the first quarter of 2008 is more than 7 per cent below where we assumed it would be in October 2007.
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34

Kirby, Simon, and Ray Barrell. "Prospects for the UK Economy." National Institute Economic Review 213 (July 2010): F45—F65. http://dx.doi.org/10.1177/0027950110381839.

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The Office for National Statistics' (ONS) Preliminary Estimate of GDP suggests the quarterly rate of growth accelerated rapidly this year, from 0.3 per cent in the first quarter to 1.1 per cent in the second quarter (figure 1). This positive news should not be taken as a strong indicator of the prospects for the next year, as a quarter of strong growth is often matched by a subsequent weak quarter. In the first quarter of this year demand was driven by government spending and the continued moderation in the rate of inventory reduction, contributing 0.5 and 0.3 percentage point, respectively to GDP growth. Data for the second quarter of this year suggest that the expansion was spread relatively evenly, with a particularly robust contribution from the construction sector. Since the estimates are derived on an output measure we have little information by way of the sources of demand. We expect that much of the demand came from the same sources as in the first quarter. It is possible that some output was delayed from the first to the second quarter due to the bad weather, while retail sales were perhaps boosted by expenditure on electrical goods related to the World Cup in South Africa. We forecast a sharp moderation in the rate of growth in the second half of this year, as figure 1 shows.
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35

Шестопал, Елена. "Quarter of a century of russian political reforms from a psychological point of view." Полис. Политические исследования (Polis. Political Studies), no. 1 (January 21, 2015): 136–50. http://dx.doi.org/10.17976/jpps/2015.01.11.

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36

Fauzi, N. I. M., and J. Sulaiman. "Cubic Spline Solutions for Two-Point Boundary Value Problems Using Quarter-Sweep SOR Method." International Journal of Open Problems in Computer Science and Mathematics 5, no. 4 (December 2012): 112–23. http://dx.doi.org/10.12816/0006143.

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37

Katsareas, Dimitrios E., and Nikolaos K. Anifantis. "Performance of quarter-point boundary elements in analysing thermally stressed kinked and curved cracks." Computer Methods in Applied Mechanics and Engineering 137, no. 2 (October 1996): 153–65. http://dx.doi.org/10.1016/s0045-7825(96)01062-6.

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38

Nejati, Morteza, Adriana Paluszny, and Robert W. Zimmerman. "On the use of quarter-point tetrahedral finite elements in linear elastic fracture mechanics." Engineering Fracture Mechanics 144 (August 2015): 194–221. http://dx.doi.org/10.1016/j.engfracmech.2015.06.055.

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39

Li Sen Chen and Jao Hwa Kuang. "Comparison of two quarter-point element extrapolation equations for three-dimensional mixed-mode problems." Engineering Fracture Mechanics 45, no. 1 (May 1993): 21–23. http://dx.doi.org/10.1016/0013-7944(93)90003-b.

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40

Li, Peng, Guan Wang, Dong Luo, and Xiaoshan Cao. "Wave bandgap formation and its evolution in two-dimensional phononic crystals composed of rubber matrix with periodic steel quarter-cylinders." International Journal of Modern Physics B 32, no. 04 (February 2018): 1850037. http://dx.doi.org/10.1142/s0217979218500376.

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The band structure of a two-dimensional phononic crystal, which is composed of four homogenous steel quarter-cylinders immersed in rubber matrix, is investigated and compared with the traditional steel/rubber crystal by the finite element method (FEM). It is revealed that the frequency can then be tuned by changing the distance between adjacent quarter-cylinders. When the distance is relatively small, the integrality of scatterers makes the inner region inside them almost motionless, so that they can be viewed as a whole at high-frequencies. In the case of relatively larger distance, the interaction between each quarter-cylinder and rubber will introduce some new bandgaps at relatively low-frequencies. Lastly, the point defect states induced by the four quarter-cylinders are revealed. These results will be helpful in fabricating devices, such as vibration insulators and acoustic/elastic filters, whose band frequencies can be manipulated artificially.
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41

Butzer, Bethany, Max van Over, Jessica J. Noggle Taylor, and Sat Bir S. Khalsa. "Yoga May Mitigate Decreases in High School Grades." Evidence-Based Complementary and Alternative Medicine 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/259814.

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This study involves an exploratory examination of the effects of a 12-week school-based yoga intervention on changes in grade point average (GPA) in 9th and 10th grade students. Participants included 95 high school students who had registered for physical education (PE) in spring 2010. PE class sections were group randomized to receive either a yoga intervention or a PE-as-usual control condition. The yoga intervention took place during the entire third quarter and half of the fourth quarter of the school year, and quarterly GPA was collected via school records at the end of the school year. Results revealed a significant interaction between group and quarter suggesting that GPA differed between the yoga and control groups over time. Post hoc tests revealed that while both groups exhibited a general decline in GPA over the school year, the control group exhibited a significantly greater decline in GPA from quarter 1 to quarter 3 than the yoga group. Both groups showed equivalent declines in GPA in quarter 4 after the yoga intervention had ended. The results suggest that yoga may have a protective effect on academic performance by preventing declines in GPA; however these preventive effects may not persist once yoga practice is discontinued.
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42

Vitale, R. A. "Convex polytopes and Gaussian covariances." Advances in Applied Probability 28, no. 2 (June 1996): 343. http://dx.doi.org/10.1017/s0001867800048473.

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Siegel (1993) presented a covariance identity involving normal variables that seems to flout notions of dependence. We show that it has an explanation from an unexpected quarter: convex geometry and the centroid known as the Steiner point. In the same geometric spirit, we introduce another identity for Gaussian covariances based on an Euler identity for the Steiner point.
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43

Yuan, Yan Hua, Jian Gang Xu, Yi Qi, and Jun Ting Chen. "Research on Architectural Pattern of Residential Quarter Based on Atmospheric Pollutant Diffusion of Point Source." Advanced Materials Research 689 (May 2013): 533–39. http://dx.doi.org/10.4028/www.scientific.net/amr.689.533.

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In the process of rapid urbanization, many pollution problems arise in developing cities. In particular, industrial point source air pollution is one of the main causes that detract from urban development and destroy ecological harmony. Gas pollution directly affects people's physical health when a source of industrial emissions is close to residential areas. In the planning and design of sustainable architecture, it becomes increasingly important to avoid industrial atmospheric diffusion pollution in the broadest sense through studying the layout of urban residential architecture group. This paper establishes the database of atmospheric pollution diffusion based on the ArcGIS platform. Through simulating the spatial distribution state of the atmospheric point source pollution concentration in Nanjing Chemical Industrial Park, the spatial information of urban atmospheric environmental quality can be provided for the layout and planning of the neighboring residential quarter. Combining with CFD wind field simulation of different architectural layouts, this paper studies the adaptive layout of residential architecture on surrounding environment. The results show that the pollutants’ concentration in summer is slightly lower than in winter; the pollutant concentration of determinantal layout is lower than the oblique column type and alternate layout in Shanpan Community. It explores the relationships among urban residential architecture, people and natural environment, and the results are very important in conducting the pattern planning and design of urban architecture, improvement of living environmental quality and energy conservation and environmental protection.
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44

Yuexing Dong, Zongmin Wang, and Bo Wang. "On the computation of stress intensity factors for interfacial cracks using quarter-point boundary elements." Engineering Fracture Mechanics 57, no. 4 (July 1997): 335–42. http://dx.doi.org/10.1016/s0013-7944(97)00057-x.

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45

Alibubin, M. U., A. Sunarto, and J. Sulaiman. "Quarter-sweep Nonlocal Discretization Scheme with QSSOR Iteration for Nonlinear Two-point Boundary Value Problems." Journal of Physics: Conference Series 710 (April 2016): 012023. http://dx.doi.org/10.1088/1742-6596/710/1/012023.

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46

Fehl, Barry D., and Kevin Z. Truman. "An evaluation of fracture mechanics quarter-point displacement techniques used for computing stress intensity factors." Engineering Structures 21, no. 5 (May 1999): 406–15. http://dx.doi.org/10.1016/s0141-0296(97)00221-6.

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47

Piao, Tie Feng, Sang Hoon Chung, Sung Kee Kang, Dong Young Kim, Hye Seon Lee, Dong June Yeom, and Ji Hong Kim. "The evaluation of ecological attributes in a natural deciduous forest using point‐centered quarter method." Forest Science and Technology 5, no. 1 (June 2009): 10–16. http://dx.doi.org/10.1080/21580103.2008.9656342.

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48

Tarazi, Sami S., and James Mandel. "Zero thickness quarter point crack tip finite element for modeling an interface between two materials." Engineering Fracture Mechanics 30, no. 1 (January 1988): 37–48. http://dx.doi.org/10.1016/0013-7944(88)90253-6.

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49

Christian, Katelyn M., and Matthew F. Moran. "Upper Quarter Y-Balance Test in Collegiate Softball Players: Bilateral Arm Comparison and Influence of Reach Order." International Journal of Athletic Therapy and Training 26, no. 5 (September 1, 2021): 257–61. http://dx.doi.org/10.1123/ijatt.2020-0064.

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Abstract:
The upper quarter Y-balance test is an upper extremity, closed kinetic chain assessment that requires individuals to reach in three directions while in a three-point plank position. The upper quarter Y-balance test was performed in 22 collegiate softball players (19.95 ± 1.52 years) to determine the (a) differences between throwing and nonthrowing (NT) sides and (b) influence of reach sequence. While stabilizing on the NT side, participants reached significantly further in the inferolateral direction than the throwing side (NT: 83.7 ± 12.2% arm length; throwing: 80.1 ± 10.5% arm length; p = .03; effect size = −0.57). Altering reach sequence significantly influenced medial reach (p < .01, effect size = 0.66) and composite score (p = .017, effect size = 1.03) when stabilizing on the NT side. Asymmetries in upper quarter Y-balance test in collegiate softball players should be interpreted cautiously, and an ordered test sequence should be consistently followed.
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Kelly, P., D. A. Hills, and D. Nowell. "Stress Field due to a Dislocation on the Interface Between Two Quarter Planes." Journal of Applied Mechanics 60, no. 3 (September 1, 1993): 743–48. http://dx.doi.org/10.1115/1.2900867.

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Abstract:
Solutions are found for the state of stress obtaining along the interface between two bonded quarter planes, induced by an edge dislocation located at an arbitrary point on the interface. Explicit asymptotic expressions are given for the stress at points close to the free surfaces.
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