Prediction of the critical stress to crack initiation associated to the investigation of fatigue small crack by D. Marhabi, N. Benseddiq, G. Mesmacque, Z. Azari, J.M. Nianga

“…We propose an over-energy under dissymmetrical rotating bending and expressed in the ellipse axes. An asymptotic approach is transformed the over-energy in polynomial function of critical stress. …”
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Rockburst in Sandstone Containing Elliptic Holes with Varying Axial Ratios by Yang Wang, Manchao He, Dongqiao Liu, Yubing Gao

“…The duration of quiet and spalling periods increased with increasing axial ratio of ellipse. The duration of the ejection and rockburst periods remains unchanged. …”
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Energy Release Analysis of a Severe Rockburst in a Headrace Tunnel Crossing a Tectonic Stress Zone by H. M. Tian, W. Z. Chen, C. S. Ma, D. S. Yang, X. J. Tan

“…As expected, the numerical results show that the storage elastic energy concentration zones is elliptical around the tunnel due to the influence of the tectonic stress field and that the long axis of the ellipse is perpendicular to the orientation of the maximum principal stress of the tectonic stress. …”
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Research of Mapping Visualization Among the Bennett Mechanism，Enveloping Hexahedron and J-hyperboloid of One Sheet by Lele Bai, Lubin Hang

“…It is found that the projection of the enveloping hexahedron's bottom surface of the Bennett linkage at the given configuration coincides with the short axis of the waist ellipse through visualization of the projection of the hyperboloid on waist cross-section，which sparks inspiration of exploring the pressure angle of the mechanism. …”
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Evolution of plastic deformation during multi-pass ECAP of an AA6060 aluminum alloy – An experimental flow line analysis by Nadja Berndt, Nadja A. Reiser, Martin F.-X. Wagner

“…For the analysis of the material flow we use a phenomenological model that describes the material path along the flow line based on a super-ellipse function, with only one parameter defining the evolution of curvature along the flow line. …”
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Microperimetric Biofeedback Training Improved Visual Acuity after Successful Macular Hole Surgery by Tomoko Ueda-Consolvo, Mitsuya Otsuka, Yumiko Hayashi, Masaaki Ishida, Atsushi Hayashi

“…BCVA, reading speed, fixation stability, and 63% bivariate contour ellipse area (BCEA) were evaluated before and after the training. …”
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Spatial-Temporal Variation of Population Aging: A Case Study of China’s Liaoning Province by Dunyi Guan, Lei Lei, Zenglin Han

“…Based on China’s census data from 1990 to 2010, this study establishes the indicator system of aging level and chooses the entropy method, standard deviational ellipse, and spatial autocorrelation as main methods. …”
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Effects of Core Muscle Acupuncture on Trunk Stability Control in Children with Spastic Cerebral Palsy by Jie ZHANG, Qing HUANG, Shibin LI, Suqiao CHEN, Wenfang DING, Dong LIN

“…The Pro-kin 254 equilibrium training detector was applied to detect the scores of the trunk control ability after six months therapeutic course, along with those in sitting position (region B) among the 88 items in the gross motor function measure (GMFM-88).Results:1) All indicators of trunk stability control in the acupuncture group were superior after treatment compared to those before treatment (<italic>P</italic>&lt;0.05); the swinging path length of the center of gravity in the rehabilitation group were better after treatment than that before treatment (<italic>P</italic>&lt;0.05);and the differences in the deviations of the center of pressure (COP) in the anterior-posterior and left-right directions, the average speeds of movement in the anterior-posterior and left-right directions, along with the ellipse area formed by the shifting of the center of gravity before and after treatment in the acupuncture group were superior to those in the rehabilitation group (<italic>P</italic>&lt;0.05).2) The GMFM-88 scores in sitting position in both groups were better after treatment than those before (<italic>P</italic>&lt;0.05);and the differences in the GMFM-88 scores in sitting position before and after treatment were better in the acupuncture group than that in the rehabilitation group (<italic>P</italic>&lt;0.05).Conclusion:Core muscle acupuncture could improve the trunk control in sitting position in children with spastic cerebral palsy; in addition, the introduction of the sport medicine theories into the acupuncture treatment would exploit a new thought for acupuncture site selection in improving the dyskinesia in children with spastic cerebral palsy.…”
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Temporal–Spatial Dynamics and Collaborative Effects of Cropland Resilience in China by Liang Luo, Yetong Li, Wenjie Ma, Jianbo Rong, Jie Wei, Yong Cui, Tingting Qu

“…Additionally, it employs quantitative analysis methods, including kernel density estimation, the standard deviation ellipse, the Theil Index, and the geographical detector, to systematically examine the spatiotemporal dynamics of cropland resilience and its driving factors in China. …”
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Prediction of the critical stress to crack initiation associated to the investigation of fatigue small crack by D. Marhabi, N. Benseddiq, G. Mesmacque, Z. Azari, J.M. Nianga

“…We propose an over-energy under dissymmetrical rotating bending and expressed in the ellipse axes. An asymptotic approach is transformed the over-energy in polynomial function of critical stress. …”
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Proprioceptive Reweighting and Postural Control are Impaired Among Elite Athletes Following Anterior Cruciate Ligament Reconstruction by Benoit Attalin, Telma Sagnard, Eric Laboute, Nicolas Forestier, Olivier Rémy-Néris, Brice Picot

“…CoP velocity (vCoP) and CoP ellipse area (EA) were used to characterize postural control. …”
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Analysis of the integrated role of the Yangtze River Delta based on the industrial economic resilience of cities during COVID-19 by Cai Jia, Zini Cao, Jinkang Hu, Xudong Wang, Long Zhao, Junjun Zhi, Wangbing Liu, Gaohua Zhang, Shilong Ding, Yan Li, Luzhou Lin

“…The land transfer matrix and the standard deviation ellipse were utilised to research the alterations in industrial land use and the spatial distribution of industrial output value, respectively. …”
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Research on the Spatio-temporal Characteristics and Driving Factors of Smart Farm Development in the Yangtze River Economic Belt by GAO Qun, WANG Hongyang, CHEN Shiyao

“…The standard deviation ellipse results revealed that the mean center of smart farms in the Yangtze River Economic Belt had shifted from Anqing city in Anhui province in 2014 to Jingzhou city in Hubei province in 2023, with the spatial distribution showing an overall trend of shifting southwestward and a slow expansion toward the northeast and south. …”
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Multi-scenario analysis of green water resource efficiency under carbon emission constraints in the Chengdu-Chongqing urban agglomeration, China: A system dynamics approach by Keyao Yu, Zhigang Li

“…We analyze its dynamic trends using kernel density estimation and standard deviation ellipse methods. Based on the theory of sustainable water resources management, this study then constructs a system dynamics (SD) model that divides GWRE into four subsystems: socio-economic, technological innovation, ecological environment, and water resources. …”
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Drag‐Based CME Modeling With Heliospheric Images Incorporating Frontal Deformation: ELEvoHI 2.0 by Jürgen Hinterreiter, Tanja Amerstorfer, Manuela Temmer, Martin A. Reiss, Andreas J. Weiss, Christian Möstl, Luke A. Barnard, Jens Pomoell, Maike Bauer, Ute V. Amerstorfer

“…In this study, we present the ELlipse Evolution model based on HI observations (ELEvoHI) and introduce a deformable front to this model. …”
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Automated Web Tool Measurement of Total Hip Arthroplasty Acetabular Component Inclination and Anteversion Angles by Christine Yoon, BS, Anna Eligulashvili, BS, Zeynep Seref-Ferlengez, PhD, Barlas Goker, MD, Eli Kamara, MD, Edward Mardakhaev, MD

“…The mean difference of average for abduction angle, anteversion angle, and ratio between the short axis of the transverse ellipse to the total length of the acetabular cup were −0.28, 0.39, and 0.02, respectively. …”
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A novel shell-and-tube heat exchanger design with alternative inclined baffles by Huy Minh Khoi Hoang, Hai-Lam Cao, Phuoc Minh Quang Pham, Ahmad Hajjar, Vu Linh Nguyen

“…The design includes paired semi-ellipse shapes with baffle cut along the vertical axis such that the segments are interlocked in a crossed pattern. …”
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Influence of human settlements factors on the spatial distribution patterns of traditional villages in Liaoning province by Guiqiao Tao, Xueming Li, Shenzhen Tian, Hang Li, Yishan Song

“…At the municipal scale, the distribution is relatively uneven and primarily located in the cities of Chaoyang, Jinzhou, Huludao, Panjin, Anshan, and Dalian. (3) The majority of traditional villages are distributed along the southwest–northeast axis of the standard deviation ellipse, which corresponds with the main mountain ranges of Liaoning. (4) The distribution density features a western continuous clustering, central and eastern scattered clustering, and edge clustering pattern. (5) The spatial distribution patterns of traditional villages in Liaoning are influenced by various human settlements factors, with spatial variation in the nature and intensity of the effects of these factors. (6) The natural factors of human settlements are the dominant factors in the spatial distribution patterns of traditional villages, while the humanistic factors of human settlements have a dual impact on these patterns. …”
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Predicting CMEs Using ELEvoHI With STEREO‐HI Beacon Data by Maike Bauer, Tanja Amerstorfer, Jürgen Hinterreiter, Andreas J. Weiss, Jackie A. Davies, Christian Möstl, Ute V. Amerstorfer, Martin A. Reiss, Richard A. Harrison

“…In this study, we use the ELlipse Evolution model based on Heliospheric Imager (ELEvoHI) to predict the arrival time and speed of 10 CME events that were observed by HI on the STEREO‐A spacecraft between 2010 and 2020. …”
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Development of a Mobile Laser Measurement System for Subway Tunnel Deformation Detection by Wei Li, Haoran Duan, Qiuzhao Zhang, Jiahui Liang, Wei Duan, Kaikun Zhang, Wenda Wang, Huachao Yang

“…Disturbed points are systematically identified and eliminated, while the convergence of tunnel sections and inter-ring misalignment are evaluated through ellipse fitting. Furthermore, to address encroachments upon tunnel locomotive limits, encroachment points and associated information are identified using the ray method. …”
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