Transient dynamic analysis of functionally graded micro-beams considering small-scale effects
Archives of Mechanics, 2021 A domain-boundary element method, based on modified couple stress theory, is developed for transient dynamic analysis of functionally graded micro-beams.
I. Eshraghi, S. Dag
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Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space
Mathematics, 2023 The primary objective of this work is to discuss a surface family with the similarity of Bertrand curves in 3D Galilean space. Subsequently, by applying the SerretâFrenet frame, we estimate the sufficient and necessary statuses of a surface family with ...
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Surface Pencil Couple with Bertrand Couple as Joint Principal Curves in Galilean 3-Space
Axioms, 2023 A principal curve on a surface plays a paramount role in reasonable implementations. A curve on a surface is a principal curve if its tangents are principal directions.
Nadia Alluhaibi, Rashad A. Abdel-Baky
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Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group
Axioms, 2023 This paper is on deducing the necessary and sufficient conditions of a surface family pair with a Bertrand pair as mutual curvature lines in three-dimensional Lie group G.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space đž3
Mathematics, 2023 This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile,
Areej A. Almoneef, Rashad A. Abdel-Baky
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An effective hydrodynamic description of marching locusts [PDF]
Physical Biology, 2023 A fundamental question in complex systems is how to relate interactions between individual components (âmicroscopic descriptionâ) to the global properties of the system (âmacroscopic descriptionâ).
Dan Gorbonos +6 more
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Constant Mean Curvature Surfaces Along a Spacelike Curve
Cumhuriyet Science Journal, 2022 We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
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Marching-Primitives: Shape Abstraction from Signed Distance Function [PDF]
Computer Vision and Pattern Recognition, 2023 Representing complex objects with basic geometric primitives has long been a topic in computer vision. Primitive-based representations have the merits of compactness and computational efficiency in higher-level tasks such as physics simulation, collision
Weixiao Liu +3 more
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A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space
Mathematics, 2023 This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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On Parametric Surfaces with Constant Mean Curvature Along Given Smarandache Curves in Lie Group
Journal of New Theory, 2022 This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group.
Sevinç Taze, Zuhal Kucukarslan Yuzbasi
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