Influence of Geometry and Boundary Conditions in Area of Cohesion between Materials on the Reflection of an Ultrasonic Beam. Part 1. Theoretical research by A. R. Bayev, A. L. Mayorov, N. V. Levkovich, D. V. Shavlovskiy, M. V. Asadchaya

“…The purpose of the paper is to determine in 3D space the conditions for increasing the sensitivity and reliability of the flaw detection in the cohesion zone between materials when the form of defect interface can be different.In the first part of the theoretical study the features of the formation of the acoustic fields of ultrasonic waves scattered from solid's interface when spot of an acoustic beam crosses the boundary of the defective region in the shape of an ellipse or a long strip have been investigated. In this case, the boundary conditions in the defect area change discretely or linearly.It was suggested to use a phase shift between reflected waves from the defect and defect-free interfaces as the more informative parameter depending on the cohesion between materials. …”
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Effect of a Balance Adjustment System on Postural Control in Patients with Chronic Ankle Instability by Kazushi Yoshida, Rieko Kuramochi, Junji Shinohara

“…The test was performed for 30 sec, and the total trajectory length and 95% ellipse area were calculated. In the assessment of dynamic postural stability, Y-Balance tests-anterior, posteromedial, and posterolateral directions were measured on the CAI limb for all participants and normalized to the individual's leg length. …”
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Numerical and Experimental Investigations on Dynamic Response of Hydraulic Cylinder with 3D Spatial Joints considering Radial and Axial Clearances by Ke Chen, Guojun Zhang, Haishuo Wang, Rui Wu, Hongmei Zheng, Shunhua Chen

“…The novelty of this study is that potential contact points between the bearing wall and journal were calculated when the bearing wall circle was projected to an ellipse owing to misalignment of axes. Moreover, the simulation model considered the effective bulk modulus of the hydraulic oil and applied the Lagrange multiplier method. …”
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection by Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

“…Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ellipse is a circle. In 1999, P. J. De Smet, F. Dillen, L. …”
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Instability Mechanism of Cavity-Bearing Formation under Tunnel Excavation Disturbance by Tao Liu, Haotong Wang, Xiuting Su, Kexian Li, Shiqun Liu, Fengsong Guo

“…The cavity will gradually change from a regular circle to an ellipse or may even close, resulting in a sudden increase in land subsidence or even ground collapse. …”
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Experimental Investigation of Innovative Internal Trailing Edge Cooling Configurations with Pentagonal Arrangement and Elliptic Pin Fin by L. Tarchi, B. Facchini, S. Zecchi

“…So, a circular pin fin configuration with an innovative pentagonal scheme is compared to a standard staggered scheme, while two elliptic pin fin configurations are compared to each other turning the ellipse from the streamwise to the spanwise direction. …”
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Efficiency Measurement and Determinant Factors of Marine Economy in China: Based on the Belt and Road Perspective by Yinyin Wang, Conghua Xue, Huimin Li, Kaizhi Yu

“…Time series and standard deviation ellipse methods are used to analyze its temporal and spatial characteristics. …”
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Analysis of Spatial Distribution Pattern and Driving Factors of Nature Reserves in Xinjiang by Yue Yang, Zhaoping Yang, Fang Han

“…In this study, we focused on the nature reserves in Xinjiang and used kernel density and standard deviation ellipse analysis methods to examine data from 1980, 1990, 2000, 2010, and 2020 in order to reveal the dynamics of spatial distribution, clustering characteristics, and evolutionary patterns, providing a scientific basis for optimizing the spatial layout of nature reserves in Xinjiang. …”
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CPP: a path planning method taking into account obstacle shadow hiding by Ruixin Zhang, Qing Xu, Youneng Su, Ruoxu Chen, Kai Sun, Fengchang Li, Guo Zhang

“…Additionally, a deformed ellipse-based obstacle avoidance technique was introduced to enhance the vehicle’s ability to navigate around obstacles. …”
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Spatial-Temporal Evolution Characteristics and Countermeasures of Urban Innovation Space Distribution: An Empirical Study Based on Data of Nanjing High-Tech Enterprises by Shuang Tang, Jingxiang Zhang, Fangqu Niu

“…Taking Nanjing as an empirical area, the spatial-temporal evolution of urban innovation space distribution was studied through methods such as average nearest neighbor, standard deviational ellipse, kernel density estimation, and exploratory spatial data analysis based on the data of high-tech enterprises identified from 2008 to 2019. …”
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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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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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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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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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