Deformations of helical spring and cuboid into hollow cylinders |
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Authors: | Alexey M Kolesnikov |
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Institution: | 1.Department of Elasticity Theory, Institute of Mathematics, Mechanics and Computer Science Named After of I.I. Vorovich,Southern Federal University,Rostov-on-Don,Russian Federation |
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Abstract: | We study finite inhomogeneous deformations of a helical spring with a rectangular cross-section and a long cuboid. Two surfaces of the spring or the cuboid are joined to obtain a hollow cylinder. When body forces are absent the equilibrium equations reduce to ordinary differential equations. The stress-strain states are the same in each cross-section. The proposed deformations correspond to an inflation, an extension and a torsion of the obtained hollow cylinders. If the obtained cylinders are free of external applied loads, then they have residual stresses. |
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