منابع مشابه
Straight rod with different order of thickness
In this paper, we consider rods whose thickness vary linearly between and . Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the displacement fields of the form u = Ue + ū, where Ue stands for the translation-rotations of the cross-sections and ū is related to their deformations. We establish a priori estimates...
متن کاملAsymptotic behavior of a structure made by a plate and a straight rod
This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Kármán’s equations (or the linear model for smaller forces) in the plate and to a one dimensional rod-model at the limit. The junction condition...
متن کاملElliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces
In this article we solve in closed form a system of nonlinear differential equations modelling the elastica in space of a thin, flexible, straight rod, loaded by a constant thrust at its free end. Common linearizations of strength of materials are of course not applicable any way, because we analyze great deformations, even if not so large to go off the linear elasticity range. By passing to cy...
متن کاملStress, birefringence, and conformational relaxation of an initially straight stiff bead-rod polymer.
The stress and optical relaxation of an initially straight stiff polymer chain are studied through Brownian dynamics simulations (based on a semiflexible bead-rod model) covering a broad range of time scales and polymer lengths. The strong stress component sigma11 (where "1" is the direction of the original alignment) is shown to be associated with the chain's longitudinal relaxation while the ...
متن کاملProcessivity of peptidoglycan synthesis provides a built-in mechanism for the robustness of straight-rod cell morphology.
The propagation of cell shape across generations is remarkably robust in most bacteria. Even when deformations are acquired, growing cells progressively recover their original shape once the deforming factors are eliminated. For instance, straight-rod-shaped bacteria grow curved when confined to circular microchambers, but straighten in a growth-dependent fashion when released. Bacterial cell s...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Medicine
سال: 1929
ISSN: 0035-9157
DOI: 10.1177/003591572902200955