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Dynamic plastic response of a submerged free-free beam to an underwater gas bubble. (English) Zbl 1064.74065
Summary: We study the dynamic plastic response of a submerged free-free beam to an underwater explosion bubble. A fluid-structure analysis is given to find the fluid force acting on the beam. Assuming that the beam is made from rigid, perfectly plastic material, we obtain a hydroplastic equation governing the dynamic plastic deflection of such a beam. The equation is analytically solved. Examples are given to discuss the features of the dynamic plastic response. It is observed that longer beams sustain larger plastic deformations than shorter beams, but shorter beams undergo larger rigid body motion than longer beams. Most of energy is consumed on plastic deformation rather than on rigid body motion. It is impossible, however, for more than three hinges to form on the beam.
MSC:
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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