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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

Unfolding a Curved Elastic Sheet

Journal of Mechanical Engineering Science, 1981
A curved elastic sheet is flattened on a rigid flat plate by vertical end forces. The problem is governed by a non-dimensional parameter, B, which signifies the relative importance of flexural rigidity to the applied force and the natural radius.
openaire   +1 more source

Horizontally Curved Plates on Elastic Foundations

Journal of Structural Engineering, 1987
An analytical solution is presented for the analysis of horizontally curved (or sector) plates on elastic foundations. Circular concrete pavements of highways may be analyzed by this method. Plates with different boundary conditions and subjected to various types of loadings can be treated by the proposed method.
Issam E. Harik, Joseph M. Abou‐Khali
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Elastic Properties of Curved Tubes

Journal of Fluids Engineering, 1943
Abstract A theory of flexibility of pipe bends perpendicular to the plane of the bend has been established. Experimental results are given in this paper verifying the derived bending equations. Results show the pipes to be more flexible than expected from the application of the “rod” theory.
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Crack curving in anisotropic elastic solids

Engineering Fracture Mechanics, 1993
Abstract The stress analysis for slightly curved cracks in an elastic anisotropic homogeneous solid is given by using a perturbation method combined with the approach of Muskhelishvili. For predicting the direction of the crack growth, higher order asymptotic stress fields at the tips of quasi-statically growing cracks under planar loading conditions
Y. Xu, L.M. Keer
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Theories of elastic slender curved rods

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1973
The linear and nonlinear theories of elastic slender curved rods are formulated in a systematic manner. Equations of equilibrium for stress resultants and moments are derived. The generalized strains are defined based on the principle of virtual work. Constitutive equations corresponding to small strains are obtained.
openaire   +1 more source

Elastic magnetic curves of ferromagnetic and superparamagnetic models

Mathematical Methods in the Applied Sciences, 2021
Talat Körpınar, Rıdvan Cem Demirkol
exaly  

Leonhard Euler's Elastic Curves

Isis, 1933
Oldfather, W. A.   +2 more
openaire   +1 more source

Thermal Backbone Curves of Nanocomposite Beams Reinforced with Graphene Platelet on Elastic Foundation

International Journal of Structural Stability and Dynamics, 2022
Hadi Arvin
exaly  

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