Results 251 to 260 of about 442,232 (288)

TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES

JP Journal of Geometry and Topology, 2018
Summary: 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.
openaire   +2 more sources

Elastic Instability and Curved Streamlines

Physical Review Letters, 1996
Hydrodynamic 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
openaire   +2 more sources

The elastic stability of curved beams

International Journal of Mechanical Sciences, 1967
Abstract Calculations are made of the ranges of validity of three theories used for investigating the instability of curved beams. These include linear and nonlinear (elastica) extensible theories, as well as a nonlinear inextensible one. The specific example chosen for the investigation is that of a curved beam hinged to fixed supports at its ends ...
Lo, C. F., Conway, H. D.
openaire   +2 more sources

Explicit Elastic Curves

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.
openaire   +2 more sources

The Elasticity of Substitution and the Shape of the Transformation Curve

Economica, 1973
The purpose of this paper is to determine, for a country producing two goods with two factors, how the shape of the transformation curve depends on the elasticities of substitution in production in the two industries. Harry Johnson' has examined the shape of the transformation curve and has concluded that it is much less bowed out than is traditionally
Scarth, William M, Warne, Robert D
openaire   +1 more source

A dynamical theory of Elastic directed curves

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1969
Elastic directed curves dynamic theory, considering Hamilton principle, mass conservation and behavior of action density function under rigid body ...
Whitman, A. B., DeSilva, C. N.
openaire   +2 more sources

Dynamics and stability of elastic cosserat curves

International Journal of Solids and Structures, 1970
Nonlinear dynamic theory describing elastic Cosserat curves plane motion, developing linear displacement equations and dynamic stability ...
Whitman, A. B., DeSilva, C. N.
openaire   +1 more source

Elastic equilibrium of curved thin films

Physical Review E, 1994
We 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
openaire   +2 more sources

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves

Beitrage Zur Algebra Und Geometrie
Abstract We propose a notion of discrete elastic and area-constrained elastic curves in 2-dimensional space forms. Our definition extends the well-known discrete Euclidean curvature equation to space forms and reflects various geometric properties known from their smooth counterparts.
Tim Hoffmann, Gudrun Szewieczek
exaly   +3 more sources

Elastic Stability of Curved Members

Journal of Structural Engineering, 1983
A general solution method of a system of coupled differential equations governing the elastic buckling of thin-walled curved members is presented. The finite element displacement method is formulated based on a variational principle. The stiffness and stability properties of the finite elements are consistent and are obtained within the bounds of ...
Chai Hong Yoa, Phillip A. Pfeiffer
openaire   +1 more source