منابع مشابه
Dynamic buckling and fragmentation in brittle rods.
We present experiments on the dynamic buckling and fragmentation of slender rods axially impacted by a projectile. By combining the results of Saint-Venant and elastic beam theory, we derive a preferred wavelength lambda for the buckling instability, and experimentally verify the resulting scaling law for a range of materials including teflon, dry pasta, glass, and steel. For brittle materials,...
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We analyze stability of a thin inextensible elastic rod which has non-vanishing spontaneous generalized torsions in its stress-free state. Two classical problems are studied, both involving spontaneously twisted rods: a rectilinear rod compressed by axial forces, and a planar circular ring subjected to uniform radial pressure on its outer perimeter. It is demonstrated that while spontaneous twi...
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متن کاملTransient Behaviour and Stability for the Thermoelastic Contact of Two Rods of Dissimilar Materials
-The paper investigates the transient behaviour and stability of a system consisting of two thermally conducting elastic rods in contact on their end faces, the other ends of the rods being built-in to two rigid walls which are maintained at different temperatures. It is assumed that there is a thermal resistance at the interface between the rods which is a known function of contact pressure or...
متن کاملApproximation to a Parabolic System Modeling the Thermoelastic Contacts of Two Rods
In this article, we study a sequence of finite difference approximate solutions to a parabolic system, which models two dissimilar rods that may come into contact as a result of thermoelastic expansion. We construct the approximate solutions based on a set of finite difference schemes to the system, andwewill prove that the approximate solutions converge strongly to the exact solutions. Moreove...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2002
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(02)00122-x