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Journal articles on the topic 'Curvature continuity'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Pegna, Joseph, and Franz-Erich Wolter. "Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces." Journal of Mechanical Design 114, no. 1 (1992): 201–10. http://dx.doi.org/10.1115/1.2916918.

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Computer Aided Geometric Design (CAGD) of surfaces sometimes presents problems that were not envisioned in classical differential geometry. This paper presents mathematical results that pertain to the design of curvature continuous blending surfaces. Curvature continuity across normal continuous surface patches requires that normal curvatures agree along all tangent directions at all points of the common boundary of two patches, called the linkage curve. The Linkage Curve theorem proved here shows that, for the blend to be curvature continuous when it is already normal continuous, it is suffic

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2

Shi, K. L., J. H. Yong, L. Tang, J. G. Sun, and J. C. Paul. "Polar NURBS Surface with Curvature Continuity." Computer Graphics Forum 32, no. 7 (2013): 363–70. http://dx.doi.org/10.1111/cgf.12244.

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3

Jones, A. K. "Nonrectangular surface patches with curvature continuity." Computer-Aided Design 20, no. 6 (1988): 325–35. http://dx.doi.org/10.1016/0010-4485(88)90114-5.

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4

Bertolazzi, Enrico, and Marco Frego. "Interpolating clothoid splines with curvature continuity." Mathematical Methods in the Applied Sciences 41, no. 4 (2017): 1723–37. http://dx.doi.org/10.1002/mma.4700.

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5

Vaccaro, Marzia Sara, Francesco Marotti de Sciarra, and Raffaele Barretta. "On the regularity of curvature fields in stress-driven nonlocal elastic beams." Acta Mechanica 232, no. 7 (2021): 2595–603. http://dx.doi.org/10.1007/s00707-021-02967-w.

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AbstractElastostatic problems of Bernoulli–Euler nanobeams, involving internal kinematic constraints and discontinuous and/or concentrated force systems, are investigated by the stress-driven nonlocal elasticity model. The field of elastic curvature is output by the convolution integral with a special averaging kernel and a piecewise smooth source field of elastic curvature, pointwise generated by the bending interaction. The total curvature is got by adding nonelastic curvatures due to thermal and/or electromagnetic effects and similar ones. It is shown that fields of elastic curvature, assoc

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6

Ye, Xiuzi. "The Gaussian and mean curvature criteria for curvature continuity between surfaces." Computer Aided Geometric Design 13, no. 6 (1996): 549–67. http://dx.doi.org/10.1016/0167-8396(95)00044-5.

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7

Farin, G. "Curvature continuity and offsets for piecewise conics." ACM Transactions on Graphics 8, no. 2 (1989): 89–99. http://dx.doi.org/10.1145/62054.62056.

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8

Hagen, Hans. "Bezier-curves with curvature and torsion continuity." Rocky Mountain Journal of Mathematics 16, no. 3 (1986): 629–38. http://dx.doi.org/10.1216/rmj-1986-16-3-629.

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9

Pottman, Helmut. "Locally controllable conic splines with curvature continuity." ACM Transactions on Graphics 10, no. 4 (1991): 366–77. http://dx.doi.org/10.1145/116913.116916.

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10

Zheng, Jianmin, Guozhao Wang, and Youdong Liang. "Curvature continuity between adjacent rational Bézier patches." Computer Aided Geometric Design 9, no. 5 (1992): 321–35. http://dx.doi.org/10.1016/0167-8396(92)90027-m.

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11

KITO, Tomomi, Jun OTA, Rie KATSUKI, et al. "Path Planning for a Mobile Robot Considering Maximum Curvature, Maximum Curvature Derivative, and Curvature Continuity." Transactions of the Japan Society of Mechanical Engineers Series C 69, no. 688 (2003): 3269–76. http://dx.doi.org/10.1299/kikaic.69.3269.

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12

BiBi, Samia, Muhammad Abbas, Kenjiro T. Miura, and Md Yushalify Misro. "Geometric Modeling of Novel Generalized Hybrid Trigonometric Bézier-Like Curve with Shape Parameters and Its Applications." Mathematics 8, no. 6 (2020): 967. http://dx.doi.org/10.3390/math8060967.

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The main objective of this paper is to construct the various shapes and font designing of curves and to describe the curvature by using parametric and geometric continuity constraints of generalized hybrid trigonometric Bézier (GHT-Bézier) curves. The GHT-Bernstein basis functions and Bézier curve with shape parameters are presented. The parametric and geometric continuity constraints for GHT-Bézier curves are constructed. The curvature continuity provides a guarantee of smoothness geometrically between curve segments. Furthermore, we present the curvature junction of complex figures and also

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13

Mou, Shuang. "The geominimal integral curvature." AIMS Mathematics 7, no. 8 (2022): 14338–53. http://dx.doi.org/10.3934/math.2022790.

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<abstract><p>In this paper, the geominimal integral curvature on the convex body is introduced. The existence and uniqueness of the geominimal integral curvature are proved. Some other properties for the geominimal integral curvature, such as continuity, are investigated.</p></abstract>

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14

Entekhabi, Mozhgan Nora, and Kirk E. Lancaster. "Boundary Continuity of Nonparametric Prescribed Mean Curvature Surfaces." Taiwanese Journal of Mathematics 24, no. 2 (2020): 483–99. http://dx.doi.org/10.11650/tjm/190504.

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15

Sun, Lanyin, and Chungang Zhu. "Curvature continuity conditions between adjacent toric surface patches." Computer Graphics Forum 37, no. 7 (2018): 469–77. http://dx.doi.org/10.1111/cgf.13583.

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16

QIU, Shi-yu, Hiroharu SUDA, and Hiroshi MAKINO. "Clothoidal Interpolation by Tangent Method Realizing Continuity of Curvature." Journal of the Japan Society for Precision Engineering 60, no. 11 (1994): 1596–600. http://dx.doi.org/10.2493/jjspe.60.1596.

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17

Shabana, Ahmed A., and Dayu Zhang. "ANCF curvature continuity: application to soft and fluid materials." Nonlinear Dynamics 100, no. 2 (2020): 1497–517. http://dx.doi.org/10.1007/s11071-020-05550-5.

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18

Hug, Daniel. "Absolute continuity for curvature measures of convex sets II." Mathematische Zeitschrift 232, no. 3 (1999): 437–85. http://dx.doi.org/10.1007/pl00004765.

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19

Hug, Daniel. "Absolute Continuity for Curvature Measures of Convex Sets I." Mathematische Nachrichten 195, no. 1 (1998): 139–58. http://dx.doi.org/10.1002/mana.19981950108.

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20

Hug, Daniel. "Absolute Continuity for Curvature Measures of Convex Sets, III." Advances in Mathematics 169, no. 1 (2002): 92–117. http://dx.doi.org/10.1006/aima.2001.2055.

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21

Yang, Xuefeng, and Youpeng You. "Linear Tool Path-Smoothing Method in High-Speed Machining Based on Error Feasible Area and Curvature Optimization." Applied Sciences 12, no. 19 (2022): 9443. http://dx.doi.org/10.3390/app12199443.

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Linear tool path is widely used in high-speed NC machining. However, the geometrical discontinuity of the corner between the linear tool paths will lead to fluctuations in speed, acceleration and jerk, which can excite machinery vibration and reduce the machining efficiency and surface quality. To solve these problems, a novel corner smoothing method based on error feasible area and curvature optimization is proposed in this paper. Compared with most traditional corner smoothing methods using higher-order curves with all control points lying in the straight segment and inside of the tool path,

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22

Jiang, Yin. "Absolute Continuity of Wasserstein Barycenters Over Alexandrov Spaces." Canadian Journal of Mathematics 69, no. 5 (2017): 1087–108. http://dx.doi.org/10.4153/cjm-2016-035-8.

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AbstractIn this paper, we prove that on a compact, n-dimensional Alexandrov space with curvature at least −1, the Wasserstein barycenter of Borel probability measures μ1 ,… , μm is absolutely continuous with respect to the n-dimensional Hausdorff measure if one of them is.

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23

Liang, Fei-Tsen. "Boundary Regularity for Capillary Surfaces." gmj 12, no. 2 (2005): 283–307. http://dx.doi.org/10.1515/gmj.2005.283.

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Abstract For solutions of capillarity problems with the boundary contact angle being bounded away from 0 and π and the mean curvature being bounded from above and below, we show the Lipschitz continuity of a solution up to the boundary locally in any neighborhood in which the solution is bounded and ∂Ω is 𝐶2; the Lipschitz norm is determined completely by the upper bound of | cos θ|, together with the lower and upper bounds of 𝐻, the upper bound of the absolute value of the principal curvatures of ∂Ω and the dimension 𝑛.

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24

Liang, Fei-Tsen. "Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions." International Journal of Mathematics and Mathematical Sciences 2004, no. 18 (2004): 913–48. http://dx.doi.org/10.1155/s0161171204307039.

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We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutionsuto the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in the Dirichlet problem.

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25

Korevaar, Nicholas J., and Leon Simon. "Continuity estimates for solutions to the prescribed-curvature Dirichlet problem." Mathematische Zeitschrift 197, no. 4 (1988): 457–64. http://dx.doi.org/10.1007/bf01159806.

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26

Martino, Vittorio, and Annamaria Montanari. "Local Lipschitz continuity of graphs with prescribed Levi mean curvature." Nonlinear Differential Equations and Applications NoDEA 14, no. 3-4 (2007): 377–90. http://dx.doi.org/10.1007/s00030-007-6005-0.

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27

Fressengeas, C., V. Taupin, M. Upadhyay, and L. Capolungo. "Tangential continuity of elastic/plastic curvature and strain at interfaces." International Journal of Solids and Structures 49, no. 18 (2012): 2660–67. http://dx.doi.org/10.1016/j.ijsolstr.2012.05.020.

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28

Shen, Xiang, Theodosios Korakianitis, and Eldad Avital. "Numerical Investigation of Surface Curvature Effects on Aerofoil Aerodynamic Performance." Applied Mechanics and Materials 798 (October 2015): 589–95. http://dx.doi.org/10.4028/www.scientific.net/amm.798.589.

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The prescribed surface curvature distribution blade design (CIRCLE) method optimises aerofoils and blades by controlling curvature continuity and slope of curvature distribution along their surfaces. The symmetrical NACA0012 exhibits a surface curvature discontinuity at the leading edge point, and the non-symmetrical E387 exhibits slope-of-curvature discontinuities in the surface. The CIRCLE method is applied to both aerofoils to remove both surface curvature and slope-of-curvature discontinuities. Computational fluid dynamics analyses are used to investigate the curvature effects on aerodynam

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29

Milstein, Michelle L., Breyanna L. Cavanaugh, Nicole M. Roussey, Stefanie Volland, David S. Williams, and Andrew F. X. Goldberg. "Multistep peripherin-2/rds self-assembly drives membrane curvature for outer segment disk architecture and photoreceptor viability." Proceedings of the National Academy of Sciences 117, no. 8 (2020): 4400–4410. http://dx.doi.org/10.1073/pnas.1912513117.

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Rod and cone photoreceptor outer segment (OS) structural integrity is essential for normal vision; disruptions contribute to a broad variety of retinal ciliopathies. OSs possess many hundreds of stacked membranous disks, which capture photons and scaffold the phototransduction cascade. Although the molecular basis of OS structure remains unresolved, recent studies suggest that the photoreceptor-specific tetraspanin, peripherin-2/rds (P/rds), may contribute to the highly curved rim domains at disk edges. Here, we demonstrate that tetrameric P/rds self-assembly is required for generating high-cu

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30

Cai, Yan, and Liang Zhi Li. "On Surface Continuity in the Procession of Product Design." Applied Mechanics and Materials 620 (August 2014): 60–64. http://dx.doi.org/10.4028/www.scientific.net/amm.620.60.

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The purpose of this paper was to verify the way in which CAD systems and their tools for visual surfaces analysis interact with morphological knowledge in the determination of continuity in product design procession. Geometrical knowledge is necessary but not enough for working with this attribute of form in everyday objects, where cultural factors are involved. Geometry establishes a progressive range of surface continuity that involves the concepts of position, tangency and curvature. In product design different degrees of continuity that not necessarily follow this idea of increment. What i

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31

Park, Sungsu. "Three-Dimensional Dubins-Path-Guided Continuous Curvature Path Smoothing." Applied Sciences 12, no. 22 (2022): 11336. http://dx.doi.org/10.3390/app122211336.

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This paper presents an efficient three-dimensional (3D) Dubins path design and a new continuous curvature path-smoothing algorithm. The proposed 3D Dubins path is a simple extension of the 2D path and serves as a reference path generator to guide the proposed smoothing algorithm. In the smoothing algorithm, the reference path is approximated by several cubic Bezier curves to generate a parametric path that simultaneously satisfies curvature continuity and maximum curvature requirements. The algorithm also provides a criterion to select a required number of Bezier curves to strictly meet the ma

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32

Garnier, Lionel, Jean-Paul Bécar, and Laurent Fuchs. "Method for Connection of Two G2 Data Sets by the Use of a Quintic Rational Bézier Curve Defined with Mass Control Points." WSEAS TRANSACTIONS ON MATHEMATICS 23 (December 31, 2024): 948–61. https://doi.org/10.37394/23206.2024.23.98.

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The paper deals with the G 2 continuity for planar curves. The G 2 continuity is considered as a superior quality of curvature, which is often sought after in high-precision designs and industrial applications. It ensures a perfectly smooth transition between different parts of a surface or curve, which can improve the functionality, aesthetics, and durability of the finished object. This article describes an algorithm to achieve a G 2 junction between two sets of data –point, tangent, curvature–. The junction is based on a rational Bézier curve defined by control mass points. The control mass

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33

Ma, Weiyin, Xu Wang та Yue Ma. "An Unified λ -subdivision Scheme for Quadrilateral Meshes with Optimal Curvature Performance in Extraordinary Regions". ACM Transactions on Graphics 42, № 6 (2023): 1–15. http://dx.doi.org/10.1145/3618400.

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We propose an unified λ -subdivision scheme with a continuous family of tuned subdivisions for quadrilateral meshes. Main subdivision stencil parameters of the unified scheme are represented as spline functions of the subdominant eigenvalue λ of respective subdivision matrices and the λ value can be selected within a wide range to produce desired properties of refined meshes and limit surfaces with optimal curvature performance in extraordinary regions. Spline representations of stencil parameters are constructed based on discrete optimized stencil coefficients obtained by a general tuning fra

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34

Urbas, John. "Global continuity estimates for two dimensional graphs of prescribed Gauss curvature." manuscripta mathematica 115, no. 2 (2004): 179–93. http://dx.doi.org/10.1007/s00229-004-0487-4.

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35

Borbély, Albert, and Michael J. Johnson. "Elastic Splines II: Unicity of Optimal s-Curves and Curvature Continuity." Constructive Approximation 49, no. 3 (2018): 525–54. http://dx.doi.org/10.1007/s00365-017-9414-2.

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36

Takeichi, Hiroshige, Hitoshi Nakazawa, Ikuya Murakami, and Shinsuke Shimojo. "The Theory of the Curvature-Constraint Line for Amodal Completion." Perception 24, no. 4 (1995): 373–89. http://dx.doi.org/10.1068/p240373.

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Amodal completion of partly occluded figures is analyzed as natural computation. Here amodal completion is shown to consist of four subproblems: representation, parsing, correspondence, and interpolation. Second, each problem is shown to be basically solvable on the basis of the generic-viewpoint assumption. It is also argued that the interpolation problem might be the key problem because of mutual interdependence among the subproblems. Third, a theory is described for the interpolation problem, in which the generic-viewpoint assumption and the curvature-consistency assumption are presumed. Th

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37

Székelyhidi, Gábor. "Greatest lower bounds on the Ricci curvature of Fano manifolds." Compositio Mathematica 147, no. 1 (2010): 319–31. http://dx.doi.org/10.1112/s0010437x10004938.

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AbstractOn a Fano manifoldMwe study the supremum of the possibletsuch that there is a Kähler metricω∈c1(M) with Ricci curvature bounded below byt. This is shown to be the same as the maximum existence time of Aubin’s continuity path for finding Kähler–Einstein metrics. We show that onP2blown up in one point this supremum is 6/7, and we give upper bounds for other manifolds.

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38

Lenda, Grzegorz, and Urszula Marmol. "Effect of Various Edge Configurations on the Accuracy of the Modelling Shape of Shell Structures Using Spline Functions." Sensors 22, no. 19 (2022): 7202. http://dx.doi.org/10.3390/s22197202.

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Spline functions are a useful tool for modelling the shape of shell structures. They have curvature continuity that allows good approximation accuracy for various objects, including hyperboloid cooling towers, spherical domes, paraboloid bowls of radio telescopes, or many other types of smooth free surfaces. Spline models can be used to determine the displacement of structures based on point clouds from laser scanning or photogrammetry. The curvature continuity of splines may, however, cause local distortions in models that have edges. Edges may appear in point clouds where surface patches are

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39

He, Xiaolong, Junqiang Bai, Li Li, Tihao Yang, and Yu Zhang. "CYFFD Parameterization Method for Cylindrical Components of Aircrafts." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 36, no. 6 (2018): 1027–36. http://dx.doi.org/10.1051/jnwpu/20183661027.

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This paper proposes a parameterization method using cylindrical coordinates based free-form deformation(CYFFD) technique by introducing a coordinate transformation method and a virtual lattice method. The method is suitable for axisymmetric and non-axisymmetric cylindrical applications. CYFFD is able to deform radially and circumferentially and to maintain first order and curvature continuity across frame border. First, the coordinate transformation step helps capture geometrical characteristics of cylindrical objects to conduct radial and circumferential deformation. Due to the need of delica

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40

Brischetto, Salvatore. "Curvature Approximation Effects in the Free Vibration Analysis of Functionally Graded Shells." International Journal of Applied Mechanics 08, no. 06 (2016): 1650079. http://dx.doi.org/10.1142/s1758825116500794.

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The present work investigates the effects of the curvature terms in the three-dimensional (3D) equilibrium equations used for the free vibration analysis of functionally graded material (FGM) structures. The 3D equilibrium equations have been written in general orthogonal curvilinear coordinates which are valid for spherical shells. They automatically degenerate in those for cylindrical shells and plates considering one of the two radii of curvature and both radii of curvature equal to infinite, respectively. The approximation of curvature terms in the 3D equilibrium equations has been evaluat

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41

Gupta, Rajendra P. "The Flatness Problem and the Variable Physical Constants." Galaxies 7, no. 3 (2019): 77. http://dx.doi.org/10.3390/galaxies7030077.

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We have used the varying physical constant approach to resolve the flatness problem in cosmology. Friedmann equations are modified to include the variability of speed of light, gravitational constant, cosmological constant, and the curvature constant. The continuity equation obtained with such modifications includes the scale factor-dependent cosmological term as well as the curvature term, along with the standard energy-momentum term. The result is that as the scale factor tends to zero (i.e., as the Big Bang is approached), the universe becomes strongly curved rather than flatter and flatter

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42

Ma, Junpeng, and Yubin Qian. "Research on Vertical Parking Path Planning Based on Circular Arcs, Straight Lines, and Multi-Objective Evaluation Function." World Electric Vehicle Journal 16, no. 3 (2025): 152. https://doi.org/10.3390/wevj16030152.

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In the vertical parking process, the issue of turning in place due to discontinuities in path curvature is addressed by proposing an optimal reference path planning method based on circular arcs, straight lines, and a multi-objective evaluation function. This method first analyzes the obstacle avoidance constraints between the vehicle’s outer contour and the parking space, as well as the vehicle’s kinematic constraints. The feasible driving region’s upper and lower boundaries are determined by tangent circular arcs and straight lines. Subsequently, a multi-objective evaluation function is desi

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43

Hug, Daniel, and Rolf Schneider. "Rotation covariant local tensor valuations on convex bodies." Communications in Contemporary Mathematics 19, no. 05 (2016): 1650061. http://dx.doi.org/10.1142/s0219199716500619.

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For valuations on convex bodies in Euclidean spaces, there is by now a long series of characterization and classification theorems. The classical template is Hadwiger’s theorem, saying that every rigid motion invariant, continuous, real-valued valuation on convex bodies in [Formula: see text] is a linear combination of the intrinsic volumes. For tensor-valued valuations, under the assumptions of isometry covariance and continuity, there is a similar classification theorem, due to Alesker. Also for the local extensions of the intrinsic volumes, the support, curvature and area measures, there ar

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44

Wang, Feng, and Xiaohua Zhu. "The structure of spaces with Bakry–Émery Ricci curvature bounded below." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 757 (2019): 1–50. http://dx.doi.org/10.1515/crelle-2017-0042.

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AbstractWe explore the structure of limit spaces of sequences of Riemannian manifolds with Bakry–Émery Ricci curvature bounded below in the Gromov–Hausdorff topology. By extending the techniques established by Cheeger and Cloding for Riemannian manifolds with Ricci curvature bounded below, we prove that each tangent space at a point of the limit space is a metric cone. We also analyze the singular structure of the limit space as in a paper of Cheeger, Colding and Tian. Our results will be applied to study the limit spaces for a sequence of Kähler metrics arising from solutions of certain compl

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45

Albayari, Diya’ J., R. U. Gobithaasan, and Kenjiro T. Miura. "The Approximation of Generalized Log-Aesthetic Curves with G 2 Cubic Trigonometric Bézier Function." Journal of Mathematics 2023 (September 7, 2023): 1–18. http://dx.doi.org/10.1155/2023/7457223.

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One of the requirements of curves in computer-aided design (CAD) is a curve with monotonic curvature profiles. Generalized log-aesthetic curves (GLACs) comprise a family of aesthetic curves which possesses a monotonic curvature profile. However, we cannot directly implement GLAC in CAD systems since it is in the form of a transcendental form. In this paper, we used cubic trigonometric Bézier (T-Bézier) curves with two shape parameters to approximate GLAC with G2 continuity. The final approximation formula inherits the shape parameters of GLAC whereas T-Béziers’ shape parameters are utilized to

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46

Shi, Jing, Qing Zhen Bi, Yu Han Wang, and Gang Liu. "Development of Real-Time Look-Ahead Methodology Based on Quintic PH Curve with G² Continuity for High-Speed Machining." Applied Mechanics and Materials 464 (November 2013): 258–64. http://dx.doi.org/10.4028/www.scientific.net/amm.464.258.

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Curving tool paths composed of straight lines, which are often represented as G01 blocks, are still the most widespread format form in the machining process chain of CAD/CAM/CNC. At the junctions between consecutive segments, the tangency and curvature discontinuities may lead to feedrate fluctuation and acceleration oscillation, which would deteriorate the machining efficiency and quality. In this paper, a real-time look-ahead interpolation methodology is proposed, which adopts a curvature-continuous PH curve as a transition to blend corner at the junction of adjacent lines in the tool path.

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47

DIRR, N., G. KARALI, and N. K. YIP. "Pulsating wave for mean curvature flow in inhomogeneous medium." European Journal of Applied Mathematics 19, no. 6 (2008): 661–99. http://dx.doi.org/10.1017/s095679250800764x.

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We prove the existence and uniqueness of pulsating waves for the motion by mean curvature of an n-dimensional hypersurface in an inhomogeneous medium, represented by a periodic forcing. The main difficulty is caused by the degeneracy of the equation and the fact the forcing is allowed to change sign. Under the assumption of weak inhomogeneity, we obtain uniform oscillation and gradient bounds so that the evolving surface can be written as a graph over a reference hyperplane. The existence of an effective speed of propagation is established for any normal direction. We further prove the Lipschi

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48

Nguyễn, Hoa Thị Ngọc, Ngoc Bich Vu, and Tat-Hien Le. "Nurbs modeling for design waterline based on the variation of sectional area curve." Science & Technology Development Journal - Engineering and Technology 3, SI2 (2021): SI37—SI46. http://dx.doi.org/10.32508/stdjet.v3isi2.529.

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Hull form design from parent ships transforms the ship's parameters based on the variation of theoretical sectional area curve of the Lackenby method. The correction and modification of the theoretical sectional area curve is essentially the change of ship displacement, hull form coefficients, and the longitudinal center of buoyancy from the parent ships. In the preliminary design stage, the hull form design approach from parent ships minimizes the risks compared to the new design while still retaining hydrostatic and hydrodynamics' advantages. However, the Lackenby method of ship hull form va

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49

Chaubey, Abhay Kumar, Ajay Kumar, and Anupam Chakrabarti. "Static analyses of laminated rhombic conoids." Engineering Computations 36, no. 4 (2019): 1346–63. http://dx.doi.org/10.1108/ec-10-2018-0478.

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Purpose This paper aims to present a new mathematical model for laminated rhombic conoids with reasonable thickness and depth. The presented model does not require the shear correction factor, as transverse strain variation through the thickness was assumed as a parabolic function. The zero transverse shear stress provision at the bottom and the top of rhombic conoids was enforced in the model. The presented model implemented a C0 finite element (FE) model, eliminating C1 continuity requirement in the mathematical model. The proposed model was validated with analytical, experimental and other

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50

Ritoré, Manuel. "Continuity of the isoperimetric profile of a complete Riemannian manifold under sectional curvature conditions." Revista Matemática Iberoamericana 33, no. 1 (2017): 239–50. http://dx.doi.org/10.4171/rmi/935.

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