Results 311 to 320 of about 3,090,394 (363)
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The design space of plane elastic curves
ACM Transactions on Graphics, 2021Elastic bending of initially flat slender elements allows the realization and economic fabrication of intriguing curved shapes. In this work, we derive an intuitive but rigorous geometric characterization of the design space of plane elastic rods with ...
Christian Hafner, B. Bickel
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Annals of Global Analysis and Geometry, 1998
The shape of a bent thin rod (a plane elastic curve) is given explicitly as soon as one knows certain three parameters. The basis of that is a theorem due to the author [cf. \textit{A. Linnér}, Nonlinear Anal., Theory Methods Appl. 21, 575-593 (1993; Zbl 0809.53006), J.
Anders Linnér
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The shape of a bent thin rod (a plane elastic curve) is given explicitly as soon as one knows certain three parameters. The basis of that is a theorem due to the author [cf. \textit{A. Linnér}, Nonlinear Anal., Theory Methods Appl. 21, 575-593 (1993; Zbl 0809.53006), J.
Anders Linnér
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On Shape of Plane Elastic Curves
International Journal of Computer Vision, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Mio +2 more
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Advances in Computational Mathematics, 1994
When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
G. Brunnett, P. Crouch
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When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
G. Brunnett, P. Crouch
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Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms
Journal of nonlinear science, 2022A main goal in the field of statistical shape analysis is to define computable and informative metrics on spaces of immersed manifolds, such as the space of curves in a Euclidean space.
Martin Bauer +5 more
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Elastic Instability and Curved Streamlines
Physical Review Letters, 1996Hydrodynamic instabilities occur in the motion of non-Newtonian polymeric liquids at low flow rates that are entirely absent in the corresponding motions of Newtonian fluids. We develop a dimensionless criterion that characterizes the critical conditions for onset of elastic instabilities in two-dimensional, single-phase isothermal viscoelastic flows ...
, Pakdel, , McKinley
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Journal of Engineering Materials and Technology, 1978
The principal purpose of this investigation was to study specimen size effects on elastic-plastic type R-curve using HY130 steel plate. Compact specimens ranging in size from 12T to 1T in planar dimensions and standardized on 1-inch thickness were used.
D. E. McCabe, J. D. Landes
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The principal purpose of this investigation was to study specimen size effects on elastic-plastic type R-curve using HY130 steel plate. Compact specimens ranging in size from 12T to 1T in planar dimensions and standardized on 1-inch thickness were used.
D. E. McCabe, J. D. Landes
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Elastic equilibrium of curved thin films
Physical Review E, 1994We present a unified theory of the bending of crystalline films that accounts for both elastic effects and crystal defects. Our theory predicts a transition from a bent coherent film with no dislocations to an incoherent, dislocated one as the film thickness or curvature is increased.
, Srolovitz, , Safran, , Tenne
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TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES
JP Journal of Geometry and Topology, 2018Summary: Mannheim curves and the constant-pitch curves are two specific classes of space curves that are identified by a relation between their curvature and torsion functions. We detail the construction of these two types of curves from any given arbitrary regular space curve in \(\mathbb{R}^2\) by means of the so-called Combescure transformation ...
Bhat, Vishesh S., Hari Baskar, R.
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