Results 311 to 320 of about 3,067,838 (357)
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Dynamics and stability of elastic cosserat curves
International Journal of Solids and Structures, 1970Nonlinear dynamic theory describing elastic Cosserat curves plane motion, developing linear displacement equations and dynamic stability ...
Whitman, A. B., DeSilva, C. N.
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The elastic stability of curved beams
International Journal of Mechanical Sciences, 1967Abstract 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.
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The Elasticity of Substitution and the Shape of the Transformation Curve
Economica, 1973The 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
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A dynamical theory of Elastic directed curves
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1969Elastic directed curves dynamic theory, considering Hamilton principle, mass conservation and behavior of action density function under rigid body ...
Whitman, A. B., DeSilva, C. N.
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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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Elastic Stability of Curved Members
Journal of Structural Engineering, 1983A 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
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The Second-Order L2-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane
, 2014In this article, we study the evolution of open inextensible planar curves with hinged ends. We obtain long time existence of C∞-smooth solutions during the evolution, given the initial curves that are only C2-smooth with vanishing curvature at the ...
Chun-Chi Lin +2 more
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A gradient flow for the p-elastic energy defined on closed planar curves
Mathematische Annalen, 2018We study the evolution of closed inextensible planar curves under a second order flow that decreases the p -elastic energy. A short time existence result for $$p \in (1, \infty ) $$ p ∈ ( 1 , ∞ ) is obtained via a minimizing movements method. For $$p=2$$
S. Okabe, Paola Pozzi, Glen Wheeler
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On the stability of elastic curved bars
Acta Mechanica Sinica, 1987A general discussion about the stability of arbitrary elastic curved bars in space under combined actions of bending and twisting is given in this paper. A system of Eqs. (28)–(36) for perturbation functions near some equilibrium state is presented. With appropriate boundary conditions, the nontrivial solution corresponds to the critical state.
Wu Jike, Huang Yonggang
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