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Artykuły w czasopismach na temat „Dual spherical curve”

Autor: Grafiati
Data publikacji: 3 czerwca 2025
Data aktualizacji: 31 lipca 2025

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1

Abdel-Baky, Rashad A., and Fatemah Mofarreh. "On an Explicit Characterization of Spherical Curves in Dual Lorentzian 3-Space D 1 3." Mathematical Problems in Engineering 2022 (June 25, 2022): 1–9. http://dx.doi.org/10.1155/2022/3044305.

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In this study, we developed a mathematical framework for studying spherical and null curves in dual Lorentzian 3-space D 1 3 . Considering the causal character of the dual curve, sufficient and necessary conditions for spacelike curves to be dual Lorentzian spherical were given. Also, new sufficient and necessary conditions for non-null curves to be hyperbolic dual spherical were presented. Then, an insight on curves with null-principal normal is reported.
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2

Taş, Ferhat, and Kazım İlarslan. "A new approach to design the ruled surface." International Journal of Geometric Methods in Modern Physics 16, no. 06 (2019): 1950093. http://dx.doi.org/10.1142/s0219887819500932.

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This paper considers a kind of design of a ruled surface. The design interconnects some concepts from the fields of computer-aided geometric design (CAGD) and kinematics. Dual unit spherical Bézier-like curves on the dual unit sphere (DUS) are obtained by a novel method with respect to the control points. A dual unit spherical Bézier-like curve corresponds to a ruled surface by using Study’s transference principle and closed ruled surfaces are determined via control points and also, integral invariants of these surfaces are investigated. Finally, the results are illustrated by several examples
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3

Li, Yanlin, Yushu Zhu, and Qing-You Sun. "Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space." International Journal of Geometric Methods in Modern Physics 18, no. 01 (2020): 2150008. http://dx.doi.org/10.1142/s0219887821500080.

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For the spherical unit speed nonlightlike curve in pseudo-hyperbolic space and de Sitter space [Formula: see text] and a given point P, we can define naturally the pedal curve of [Formula: see text] relative to the pedal point P. When the pseudo-sphere dual curve germs are nonsingular, singularity types of such pedal curves depend only on locations of pedal points. In this paper, we give a complete list of normal forms for singularities and locations of pedal points when the pseudo-sphere dual curve germs are nonsingular. Furthermore, we obtain the extension results in dualities, which has wid
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4

Liu, Haiming, and Donghe Pei. "Singularities of a Space Curve according to the Relatively Parallel Adapted Frame and Its Visualization." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/512020.

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The relatively parallel adapted frame or Bishop frame is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of biology, engineering, and computer graphics. The main result of this paper is using the relatively parallel adapted frame for classification of singularity type of Bishop spherical Darboux image and Bishop dual which are deeply related with a space curve and making them visualized by computer.
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5

McCarthy, J. M. "The Opposite Pole Quadrilateral as a Compatibility Linkage for Parameterizing the Center Point Curve." Journal of Mechanical Design 115, no. 2 (1993): 332–36. http://dx.doi.org/10.1115/1.2919196.

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In planar four-position kinematics, the centers of circles containing four positions of a point in a moving rigid body form the center point curve. This curve can be parameterized by analyzing a “compatibility linkage” obtained from a complex number formulation of the four-position problem. In this paper, we present another derivation of the center point curve using a special form of dual quaternions and the fact that it is identical to the pole curve. The defining properties of the pole curve lead to a parameterization by kinematic analysis of the opposite pole quadrilateral as a four-bar lin
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6

Almoneef, Areej A., and Rashad A. Abdel-Baky. "One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode." Mathematics 11, no. 17 (2023): 3749. http://dx.doi.org/10.3390/math11173749.

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In this paper, based on the E. Study map, direct appearances were sophisticated for one-parameter hyperbolic dual spherical locomotions and invariants of the axodes. With the suggested technique, the Disteli formulae for the axodes were acquired and the correlations through kinematic geometry of a timelike line trajectory were provided. Then, a ruled analogy of the curvature circle of a curve in planar locomotions was expanded into generic spatial locomotions. Lastly, we present new hyperbolic proofs for the Euler–Savary and Disteli formulae.
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7

Jamal and Morgan. "Characterization of Material Properties Based on Inverse Finite Element Modelling." Inventions 4, no. 3 (2019): 40. http://dx.doi.org/10.3390/inventions4030040.

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This paper describes a new approach that can be used to determine the mechanical properties of unknown materials and complex material systems. The approach uses inverse finite element modelling (FEM) accompanied with a designed algorithm to obtain the modulus of elasticity, yield stress and strain hardening material constants of an isotropic hardening material model, as well as the material constants of the Drucker–Prager material model (modulus of elasticity, cap yield stress and angle of friction). The algorithm automatically feeds the input material properties data to finite element softwar
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8

Sahiner, Burak, Mustafa Kazaz, and Hasan Ugurlu. "A study on motion of a robot end-effector using the curvature theory of dual unit hyperbolic spherical curves." Filomat 30, no. 3 (2016): 791–802. http://dx.doi.org/10.2298/fil1603791s.

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In this paper we study the motion of a robot end-effector by using the curvature theory of a dual unit hyperbolic spherical curve which corresponds to a timelike ruled surface with timelike ruling generated by a line fixed in the end-effector. In this way, the linear and angular differential properties of the motion of a robot end-effector such as velocities and accelerations which are important information in robot trajectory planning are determined. Moreover, the motion of a robot end-effector which moves on the surface of a right circular hyperboloid of one sheet is examined as a practical
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9

Song, Yong Hui, Yong Yang, Wen Wen Gao, and Xin Zhe Lan. "Preparation of Silver Nanoplates in SDBS System." Materials Science Forum 620-622 (April 2009): 533–36. http://dx.doi.org/10.4028/www.scientific.net/msf.620-622.533.

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Silver nanoplates were prepared in the solution of sodium dodecyl benzene sulfonate (SDBS) and polyvinyl pyrrolidone (PVP) via reducing silver nitrate with hydrazine hydrate. X-ray diffraction (XRD) and Scanning electron microscope (SEM) were applied to identify phase and observe microstructure. The surface tension analysis showed that in SDBS + PVP system, the γ-C curve acted as dual-platform and the corresponding concentration turning points were C1 (0.8g/L) and C2 (6.0g/L) respectively. XRD analysis confirmed that the reduction product was element silver. SEM observation revealed that nano-
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10

Almoneef, Areej A., and Rashad A. Abdel-Baky. "A Study on a Spacelike Line Trajectory in Lorentzian Locomotions." Symmetry 15, no. 10 (2023): 1816. http://dx.doi.org/10.3390/sym15101816.

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In this study, we establish a novel Lorentzian interpretation of the Euler–Savary (E−S) and Disteli (Dis) formulae. Subsequently, we proceed to establish a theoretical structure for a Lorentzian torsion line congruence which is the spatial symmetry of the Lorentzian circling-point dual curve, in accordance with the principles of the kinematic theory of spherical locomotions. Further, a timelike (Tlike) torsion line congruence is defined and its spatial equivalence is examined. The findings contribute to an enhanced comprehension of the interplay between axodes and Lorentzian spatial movements,
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11

Choi, Byoung-Wook, Dong-Han Seo, Jang-Yong Yoo, and Jae-il Jang. "Predicting macroscopic plastic flow of high-performance, dual-phase steel through spherical nanoindentation on each microphase." Journal of Materials Research 24, no. 3 (2009): 816–22. http://dx.doi.org/10.1557/jmr.2009.0109.

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An attempt was made to predict the macroscopic plastic flow of a high-performance pipeline steel, consisting of dual constituent phases (soft ferrite and hard bainite), by performing nanoindentation experiments on each microphase with two spherical indenters that have different radii (550 nm and 3.3 μm). The procedure is based on the well known concepts of indentation stress-strain and constraint factor, which make it possible to relate indentation hardness to the plastic flow of the phases. Additional consideration of the indentation size effect for sphere and application of a simple “rule-of
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12

Kim, Hyun Min, Ji Yoon Jeong, Su Hyung Kang, Hyoung-Joon Jin, and Hyoung Jin Choi. "Dual Electrorheological and Magnetorheological Behaviors of Poly(N-methyl aniline) Coated ZnFe2O4 Composite Particles." Materials 15, no. 7 (2022): 2677. http://dx.doi.org/10.3390/ma15072677.

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Magnetic/conducting polymeric hybrid core-shell typed zinc ferrite (ZnFe2O4)/poly(N-methyl aniline) (PMA) particles were fabricated and adopted as electrorheological (ER) and magnetorheological (MR) fluids, and their rheological properties were examined. Solvo-thermally synthesized ZnFe2O4 was coated with a conducting PMA through chemical oxidation polymerization. The size, shape, and chemical composition of the final core-shell shaped particles were scrutinized by scanning electron microscopy, transmission electron microscopy, and Fourier transform-infrared spectroscopy. The crystal faces of
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13

Yi, Kang, Zhiwei Wu, Qingkai Tang, et al. "Microstructural Characterization and Magnetic, Dielectric, and Transport Properties of Hydrothermal La2FeCrO6 Double Perovskites." Nanomaterials 13, no. 24 (2023): 3132. http://dx.doi.org/10.3390/nano13243132.

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Double perovskite La2FeCrO6 (LFCO) powders were synthesized via the hydrothermal method, which crystallized in an orthorhombic (Pnma) structure and exhibited a spherical morphology with an average particle size of 900 nm. Fourier transform infrared spectroscopy demonstrated the presence of fingerprints of vibrational modes of [FeO6] and [CrO6] octahedra in the powders. The XPS spectra revealed dual oxide states of Fe (Fe2+/Fe3+) and Cr (Cr3+/Cr4+) elements, and the oxygen element appeared as lattice oxygen and defect oxygen, respectively. The LFCO powders exhibited weak ferromagnetic behavior
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14

Kearney, Stephanie, Dirk Seidel, and Mhairi Day. "Evaluating treatment effectiveness in a case series of myopia patients." Optometry & Contact Lenses 2, no. 3 (2022): 108–15. http://dx.doi.org/10.54352/dozv.qxrf8309.

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Purpose. This patient case series describes the response to myopia control contact lens treatments and compares the use of five methods evaluating the efficacy of the treatments. Material and Methods. Data from the myopia management clinic, Glasgow Caledonian University included age, axial length (AL) spherical equivalent refraction (SER) and treatment (orthokeratology (OK), dual focus (DF) and multifocal (MF) contact lenses (n = 5 for each treatment)). Treatment effectiveness was evaluated by five methods (1 - 4 used AL and 5 used SER): 1. Percentile Method using AL growth curve data, 2. Mean
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15

Ahmed, Iman Saad, Hassan Medhat Rashed, Hend Fayez, Faten Farouk, and Rehab Nabil Shamma. "Nanoparticle-Mediated Dual Targeting: An Approach for Enhanced Baicalin Delivery to the Liver." Pharmaceutics 12, no. 2 (2020): 107. http://dx.doi.org/10.3390/pharmaceutics12020107.

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In this study, water-soluble chitosan lactate (CL) was reacted with lactobionic acid (LA), a disaccharide with remarkable affinity to hepatic asialoglycoprotein (ASGP) receptors, to form dual liver-targeting LA-modified-CL polymer for site-specific drug delivery to the liver. The synthesized polymer was used to encapsulate baicalin (BA), a promising bioactive flavonoid with pH-dependent solubility, into ultrahigh drug-loaded nanoparticles (NPs) via the ionic gelation method. The successful chemical conjugation of LA with CL was tested and the formulated drug-loaded LA-modified-CL-NPs were asse
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16

Qutbi, Mohsen. "Artificial High- and Low-density Materials in Bone Mineral Densitometry Using Dual-energy X-ray Absorptiometry: A GATE Monte Carlo Simulation of “Black-hole” Artifact." Journal of Medical Physics 49, no. 3 (2024): 433–40. http://dx.doi.org/10.4103/jmp.jmp_36_24.

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Objective: The objective of the study was to evaluate the effect of artificial high- and low-density materials on Bone mineral density (BMD)scans in dual-energy X-ray absorptiometry (DXA) method and emergence of black-hole artifact through GATE Monte Carlo simulation. Materials and Methods: GATE Monte Carlo code was utilized to simulate the artifact encountered in clinical scans acquired by HOLOGIC® bone densitometer. Two simplified phantoms were designed. The first one was a rectangular box with six smaller cubes inside and the second one was a body torso. Materials of cubes were spine bone,
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17

Martin, Cibely Silva, Henry Seitiro Kavazoi, Celina Massumi Miyazaki, Priscila Alessio, and Carlos José Leopoldo Constantino. "Nickel Tetrasulfonated Phthalocyanine Decorated with AuNP as a Double Sensorial Platform: SERS and Electrochemical." Chemosensors 11, no. 7 (2023): 372. http://dx.doi.org/10.3390/chemosensors11070372.

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The development of materials for multiple applications is a challenge in the fields of technology and materials science. In this work, screen-printed carbon electrodes (SPCEs) were modified with an electropolymerized nickel tetrasulfonated phthalocyanine film (polymeric-NiTsPc = p-NiTsPc) decorated with gold nanoparticles (AuNP). The modified SPCEs were applied as a sensing platform for analysis via electrochemical and surface-enhanced Raman scattering (SERS) spectroscopy. The SPCEs modification was based on the potential cycling firstly in a NiTsPc solution and then in an AuHCl4 solution, wit
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18

ÖZKAN TÜKEL, GÖZDE, and AHMET YÜCESAN. "On the dual pseudo-spherical elastic curves." Turkish Journal of Mathematics 48, no. 3 (2024): 623–33. http://dx.doi.org/10.55730/1300-0098.3529.

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19

Li, Yanlin, and Donghe Pei. "Evolutes of dual spherical curves for ruled surfaces." Mathematical Methods in the Applied Sciences 39, no. 11 (2015): 3005–15. http://dx.doi.org/10.1002/mma.3748.

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20

Ayylldlz, Nihat, A. Ceylan Çöken, and Ahmet Yücesan. "A CHARACTERIZATION OF DUAL LORENTZIAN SPHERICAL CURVES IN THE DUAL LORENTZIAN SPACE." Taiwanese Journal of Mathematics 11, no. 4 (2007): 999–1018. http://dx.doi.org/10.11650/twjm/1500404798.

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21

Önder, Mehmet, and H. Hüseyin Uǧurlu. "Normal and Spherical Curves in Dual Space D 3." Mediterranean Journal of Mathematics 10, no. 3 (2013): 1527–37. http://dx.doi.org/10.1007/s00009-013-0269-x.

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22

Gür Mazlum, Sümeyye, Süleyman Şenyurt, and Luca Grilli. "The Invariants of Dual Parallel Equidistant Ruled Surfaces." Symmetry 15, no. 1 (2023): 206. http://dx.doi.org/10.3390/sym15010206.

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In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces (DPERS) and we give the relationships between these curvatures. In addition to—in cases where the base curves of these DPERS are closed—computing the dual integral invariants of the indicatrix curves. Additionally, we show the relationships between them. Finally, we provide an example for each of these indicatrix curves.
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23

Gong, Jie, and Dong L. Wu. "Microphysical properties of frozen particles inferred from Global Precipitation Measurement (GPM) Microwave Imager (GMI) polarimetric measurements." Atmospheric Chemistry and Physics 17, no. 4 (2017): 2741–57. http://dx.doi.org/10.5194/acp-17-2741-2017.

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Abstract. Scattering differences induced by frozen particle microphysical properties are investigated, using the vertically (V) and horizontally (H) polarized radiances from the Global Precipitation Measurement (GPM) Microwave Imager (GMI) 89 and 166 GHz channels. It is the first study on frozen particle microphysical properties on a global scale that uses the dual-frequency microwave polarimetric signals.From the ice cloud scenes identified by the 183.3 ± 3 GHz channel brightness temperature (Tb), we find that the scattering by frozen particles is highly polarized, with V–H polarimetric diffe
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24

ÖZTEMİR, Yunus, and Mustafa ÇALIŞKAN. "The Intersection of Two Ruled Surfaces Corresponding to Spherical Indicatrix Curves on the Unit Dual Sphere." Cumhuriyet Science Journal 44, no. 2 (2023): 328–35. http://dx.doi.org/10.17776/csj.1197746.

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In this study, we first investigate the intersection of two different ruled surfaces in R^3 for two different tangential spherical indicatrix curves on DS^2 using the E. Study mapping. The conditions for the intersection of these ruled surfaces in R^3 are expressed by theorems with bivariate functions. Secondly, considering two different principal normal spherical indicatrix curves on DS^2, we examine the intersection of two different ruled surfaces in R^3 by using E. Study mapping. Similarly, the conditions for the intersection of these ruled surfaces in R^3 are indicated by theorems with biv
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25

Hu, Kuifeng, and William P. Schonberg. "Ballistic limit curves for non-spherical projectiles impacting dual-wall spacecraft systems." International Journal of Impact Engineering 29, no. 1-10 (2003): 345–55. http://dx.doi.org/10.1016/j.ijimpeng.2003.09.030.

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26

Lucas, Julien, and Antoine Fourgeaux. "Helical CT Scan Evolution of Periprosthetic Cysts of a Stainless Steel DLC Coated Total Ankle Arthroplasty at Four Years Apart and Survival at 13 Years." Foot & Ankle Orthopaedics 3, no. 3 (2018): 2473011418S0007. http://dx.doi.org/10.1177/2473011418s00078.

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Category: Ankle Introduction/Purpose: Total ankle arthroplasty (TAA) is the alternative to tibio-talar fusion in the non-conservative operative treatment of osteoarthritis. It preserves joint range of motion and prevents adjacent joints while improving quality of life and relief. Long-term studies frequently show the presence of periprosthetic cysts, which is linked to an increased risk of revision, pain or lameness. In 2012, a stainless steel, DLC coated, TAA was subjected to a clinical review and a CT scan analysis. The main objective of this study was to analyze periprosthetic cysts evoluti
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27

Lian, Xuening, Zhigang Wang, and Huilai Li. "Singularities of worldsheets in spherical space–times." International Journal of Modern Physics A 33, no. 18n19 (2018): 1850114. http://dx.doi.org/10.1142/s0217751x18501142.

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In this paper, the singularities of the geometry for four classes of worldsheets, which are respectively, located in three-dimensional hyperbolic space and three-dimensional de Sitter space–time are considered. Under the theoretical frame of geometry of space–time and as applications of singularity theory, it is shown that these worldsheets have two classes of singularities, that is, in the local sense, these four classes of worldsheets are, respectively, diffeomorphic to the cuspidal edge and the swallowtail. The first hyperbolic worldsheet and the second hyperbolic worldsheet are [Formula: s
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28

Seidel, Paola Terezinha, and Luís Antonio Cabral. "Dualities and geometrical invariants for static and spherically symmetric spacetimes." International Journal of Modern Physics D 25, no. 09 (2016): 1641007. http://dx.doi.org/10.1142/s0218271816410078.

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In this work, we consider spinless particles in curved spacetime and symmetries related to extended isometries. We search for solutions of a generalized Killing equation whose structure entails a general class of Killing tensors. The conserved quantities along particle’s geodesic are associated with a dual description of the spacetime metric. In the Hamiltonian formalism, some conserved quantities generate a dual description of the metric. The Killing tensors belonging to the conserved objects imply in a nontrivial class of dual metrics even for a Schwarzschild metric in the original spacetime
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29

Schonberg, W. P., and J. E. Williamsen. "RCS-based ballistic limit curves for non-spherical projectiles impacting dual-wall spacecraft systems." International Journal of Impact Engineering 33, no. 1-12 (2006): 763–70. http://dx.doi.org/10.1016/j.ijimpeng.2006.09.076.

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30

YONEDA, KEISHI, AKIO YONEZU, HIROYUKI HIRAKATA, and KOHJI MINOSHIMA. "ESTIMATION OF ANISOTROPIC PLASTIC PROPERTIES OF ENGINEERING STEELS FROM SPHERICAL IMPRESSIONS." International Journal of Applied Mechanics 02, no. 02 (2010): 355–79. http://dx.doi.org/10.1142/s1758825110000536.

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This study proposes a method of reverse analysis to estimate the anisotropic plastic properties of engineering steels by spherical indentation. The method takes into consideration materials that obey the work-hardening law and show in-plane anisotropic yield stress. Finite element analysis was first carried out to compute the indentation behavior of such materials, showing that a permanent impression exhibited an anisotropic shape which was strongly dependent on the orthotropic axis. Based on the anisotropy of the impression geometry, we developed a simple approach to determine the yield stres
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31

Önder, Mehmet, and H. Hüseyin Uğurlu. "Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces." Boletim da Sociedade Paranaense de Matemática 34, no. 1 (2016): 85–98. http://dx.doi.org/10.5269/bspm.v34i1.24756.

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In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.
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32

Xu, Li, Xiangjun Liu, Lixi Liang, Shunchu Li, and Longtao Zhou. "The Similar Structure Method for Solving the Model of Fractal Dual-Porosity Reservoir." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/954106.

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This paper proposes a similar structure method (SSM) to solve the boundary value problem of the extended modified Bessel equation. The method could efficiently solve a second-order linear homogeneous differential equation’s boundary value problem and obtain its solutions’ similar structure. A mathematics model is set up on the dual-porosity media, in which the influence of fractal dimension, spherical flow, wellbore storage, and skin factor is taken into cosideration. Researches in the model found that it was a special type of the extended modified Bessel equation in Laplace space. Then, the f
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33

McCarthy, J. M. "On the Scalar and Dual Formulations of the Curvature Theory of Line Trajectories." Journal of Mechanisms, Transmissions, and Automation in Design 109, no. 1 (1987): 101–6. http://dx.doi.org/10.1115/1.3258772.

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The curvature theory of ruled surfaces has been studied in two different ways. The scalar formulation proceeds by defining a seqeunce of ruled surfaces associated with the trajectory ruled surface. The relative positions of these surfaces and their distribution parameters characterize the local properties of the original ruled surface. The other formulation uses dual vector algebra to transform the differential geometry of ruled surfaces into that of spherical curves. In each theory functions are obtained which characterize the shape of the ruled surface. This paper unites these formulations b
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34

Han, Guofeng, Yang Chen, Min Liu, and Xiaoli Liu. "Differences in Performance of Models for Heterogeneous Cores during Pulse Decay Tests." Applied Sciences 9, no. 15 (2019): 3206. http://dx.doi.org/10.3390/app9153206.

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Shale and fractured cores often exhibit dual-continuum medium characteristics in pulse decay testing. Dual-continuum medium models can be composed of different flow paths, interporosity flow patterns, and matrix shapes. Various dual-continuum medium models have been used by researchers to analyze the results of pulse decay tests. But the differences in their performance for pulse decay tests have not been comprehensively investigated. The characteristics of the dual-permeability model and the dual-porosity model, the slab matrix, and the spherical matrix in pulse decay testing are compared by
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35

Schuster, Sebastian, and Matt Visser. "Boyer–Lindquist Space-Times and Beyond: Metamaterial Analogues for ArbitrarySpace-Times." Universe 10, no. 4 (2024): 159. http://dx.doi.org/10.3390/universe10040159.

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Analogue space-times (and in particular metamaterial analogue space-times) have a long varied and rather complex history. Much of the previous related work to this field has focused on spherically symmetric models; however, axial symmetry is much more relevant for mimicking astrophysically interesting systems that are typically subject to rotation. Now it is well known that physically reasonable stationary axisymmetric space-times can, under very mild technical conditions, be put into Boyer–Lindquist form. Unfortunately, a metric presented in Boyer–Lindquist form is not well adapted to the “qu
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LIU, ZISHUN, EDY HARSONO, and SOMSAK SWADDIWUDHIPONG. "MATERIAL CHARACTERIZATION BASED ON INSTRUMENTED AND SIMULATED INDENTATION TESTS." International Journal of Applied Mechanics 01, no. 01 (2009): 61–84. http://dx.doi.org/10.1142/s175882510900006x.

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This paper reviews various techniques to characterize material by interpreting load-displacement data from instrumented indentation tests. Scaling and dimensionless analysis was used to generalize the universal relationships between the characteristics of indentation curves and their material properties. The dimensionless functions were numerically calibrated via extensive finite element analysis. The interpretation of load-displacement curves from the established relationships was thus carried out by either solving higher order functions iteratively or employing neural networks. In this study
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Marvi-Mashhadi, M., A. Rezaee-Bazzaz, and Mohammad Mazinani. "Modelling the Flow Behaviour of Dual-Phase Steels with Different Martensite Volume Fractions by Finite Element Method." Materials Science Forum 706-709 (January 2012): 1503–8. http://dx.doi.org/10.4028/www.scientific.net/msf.706-709.1503.

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Dual-phase (DP) steels have a composite-type microstructure consisting mainly of hard martensite islands embedded in a soft ferrite matrix. DP steels exhibit a characteristic combination of high strength, high work hardening rate and good ductility. Mechanical behaviour of DP steels is closely related to their microstructures. Hence, it is necessary to take into account their microstructural parameters in any attempt to estimate their flow behaviour. In this study, the flow curves of low carbon DP steels with 26.4 and 52% martensite produced by intercritical annealing processes at different te
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38

Tzou, H. S., W. K. Chai, and S. M. Arnold. "Structronics and Actuation of Hybrid Electrostrictive/Piezoelectric Thin Shells." Journal of Vibration and Acoustics 128, no. 1 (2005): 79–87. http://dx.doi.org/10.1115/1.2149397.

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Certain ferroelectric materials possess dual electrostrictive and piezoelectric characteristics, depending on their specific Curie temperatures. The nonlinear electro-mechanical effect of electrostrictive materials provides stronger actuation performance as compared with that of piezoelectric materials. Due to the complexity of the generic ferroelectric actuators, micro-electromechanics, structure-electronic (structronic) coupling and control characteristics of hybrid electrostrictive/piezoelectric dynamic systems deserve an in-depth investigation. In this study, dynamic electro-mechanical sys
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39

Sokołowski, Damian, Marcin Kamiński, and Artur Wirowski. "Energy Fluctuations in the Homogenized Hyper-Elastic Particulate Composites with Stochastic Interface Defects." Energies 13, no. 8 (2020): 2011. http://dx.doi.org/10.3390/en13082011.

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The principle aim of this study is to analyze deformation energy of hyper-elastic particulate composites, which is the basis for their further probabilistic homogenization. These composites have some uncertain interface defects, which are modelled as small semi-spheres with random radius and with bases positioned on the particle-matrix interface. These defects are smeared into thin layer of the interphase surrounding the reinforcing particle introduced as the third component of this composite. Matrix properties are determined from the experimental tests of Laripur LPR 5020 High Density Polyure
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40

Vinoo, Cameron, denOtter Theo, Ozel Cenap, Kumar Srivastav Manoj, and Syzdykov Mirzahmet. "A symmetric model of prime number placement by dual cord at the half line of the Inverse Fixed cone at 1:3 Pythagoras, in a fixed numbers matrix." Journal of Progressive Research in Mathematics 12, no. 2 (2017): 1867–923. https://doi.org/10.5281/zenodo.4018831.

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To put the proverbial cart before the horse this mathematics needs no proofs as the proofs are in the matrix of the presentation . The proof of the oscillation of the prime numbers at the half line is proved by a pure mathematics placement sieve that has been worked till 50 thousand Prime numbers and yet to be programmed as two distinct placement values of prime numbers that are symmetric with two cords of prime numbers ( Mathematically it is impossible to have oscillation of prime numbers, without two defined cords, a single cord cannot oscillate , and there has to be a mathematically well de
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41

Jia, Caifeng, Sen Zhang, Wenpan Li, et al. "Co-delivery of combretastatin A4 and docetaxel with pegylated nanostructured lipid carriers in tumor cells." Tropical Journal of Pharmaceutical Research 22, no. 10 (2023): 2029–37. http://dx.doi.org/10.4314/tjpr.v22i10.2.

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Purpose: To investigate a novel co-delivery system using nanostructured lipid carriers (NLCs) for simultaneous administration of two potent anti-cancer drugs, combretastatin A-4 (CA-4) and docetaxel (DTX), against tumor cells and vasculature.
 Methods: The CA-4 and DTX co-loaded NLCs (C-D-NLC) were formulated and investigated for physical properties, stability, and drug release. Safety and efficacy of C-D-NLC were investigated on Lewis Lung Carcinoma (LLC) tumor cells in vitro and in vivo using cytotoxicity and anti-tumor assays. The pharmacokinetics of CA-4 and DTX in rats after intraven
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42

van Heel, Antoon P., Paulus M. Boerrigter, and Johan J. van Dorp. "Thermal and Hydraulic Matrix-Fracture Interaction in Dual-Permeability Simulation." SPE Reservoir Evaluation & Engineering 11, no. 04 (2008): 735–49. http://dx.doi.org/10.2118/102471-pa.

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Summary The shape factor concept, originally introduced by Barenblatt in 1960, provides an elegant and powerful upscaling method for fractured reservoir simulation. The shape factor determines the fluid and heat transfer between matrix and fractures when there is a difference in pressure or temperature between matrix blocks and the surrounding fractures. An appropriate specification of the shape factor is therefore critical for accurate modeling. Since its introduction, many different values for the shape factor have been proposed in the literature, among which the well-known Warren-Root and K
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ZHANG Xiuzhen, MO Xiping, CHAI Yong, PAN Rui, and TIAN Zhifeng. "Research on low-frequency directional flextensional transducer with concave-convex beam." Acta Physica Sinica 74, no. 11 (2025): 0. https://doi.org/10.7498/aps.74.20250161.

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The dimensions of flextensional transducers are much smaller than the wavelength, thereby constraining the generation of directional beams by compact underwater acoustic transducers. To address the complexity of amplitude and phase modulation in circuit-driven traditional directional flextensional transducers, this study proposes a directional flextensional transducer structure. By implementing an asymmetric composite shell configuration combining concave and convex curved beams, the design achieves low-frequency directional radiation while simplifying peripheral driving circuits, thereby offe
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Najdanović, Marija S., Ljubica S. Velimirović, and Svetozar R. Rančić. "DEFORMATIONS PRESERVING DUAL ARC LENGTH IN DUAL 3-SPACE." Facta Universitatis, Series: Mathematics and Informatics, December 16, 2024, 891. https://doi.org/10.22190/fumi240905060n.

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In this paper we study infinitesimal bending of dual spherical curves using the Blaschke frame. We give the necessary and sufficient conditions for the infinitesimal bending field. Also, we consider the hyperbolic paraboloid as a ruled surface corresponding to a dual spherical curve.
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BAKY, R. A. Abdel. "An explicit characterization of dual spherical curve." Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2002, 001–9. http://dx.doi.org/10.1501/commua1_0000000356.

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TANJU, KAHRAMAN, and HUSEYIN UGURLU HASAN. "DUAL SMARANDACHE CURVES AND SMARANDACHE RULED SURFACES." July 27, 2014. https://doi.org/10.5281/zenodo.835438.

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"Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space." International Journal of Analysis and Applications, 2017. http://dx.doi.org/10.28924/2291-8639-15-2017-114.

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Najdanović, Marija S. "Characterization of dual curves using the theory of infinitesimal bending." Mathematical Methods in the Applied Sciences, March 12, 2024. http://dx.doi.org/10.1002/mma.10035.

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In this paper, we generalize the main ideas and statements of the theory of infinitesimal bending in Euclidean 3‐space to dual curves in the dual 3‐space . The basic condition we introduce is the invariance of the dual arc length with appropriate precision. Necessary and sufficient conditions for the dual field to be an infinitesimal bending field are given. Some useful formulas and facts about dual arc length and dual bending field are obtained. An explicit characterization of the dual spherical curve bending is presented, and the corresponding infinitesimal bending field is decomposed into d
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49

Buelles, Tim-Henrik, and Miguel Moreira. "Weyl symmetry for curve counting invariants via spherical twists." Journal of Algebraic Geometry, May 10, 2024. http://dx.doi.org/10.1090/jag/829.

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We study the curve counting invariants of Calabi–Yau 3-folds via the Weyl reflection along a ruled divisor. We obtain a new rationality result and functional equation for the generating functions of Pandharipande–Thomas invariants. When the divisor arises as resolution of a curve of A 1 A_1 -singularities, our results match the rationality of the associated Calabi–Yau orbifold. The symmetry on generating functions descends from the action of an infinite dihedral group of derived auto-equivalences, which is generated by the derived dual and a spherical twist. Our techniques involve wall-crossin
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Liu, Ming, and Haiying Huang. "Master Curves for Poroelastic Spherical Indentation with Step Displacement Loading." Journal of Applied Mechanics, July 16, 2024, 1–61. http://dx.doi.org/10.1115/1.4065989.

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Abstract Abstract Theoretical and numerical analyses are conducted to rigorously construct master curves that can be used for interpretation of displacement-controlled poroelastic spherical indentation test. A fully coupled poroelastic solution is first derived within the framework of Biot's theory using the McNamee-Gibson displacement function method. The fully saturated porous medium is assumed to consist of slightly compressible solid and fluid phases and the surface is assumed to be impermeable over the contact area and permeable everywhere else. In contrast to the cases in our previous st
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