Perfect plastic deformation of a circular thin metal plate due to pulsation of a vapour bubble

• This paper describes perfect plastic deformation of a thin metal plate due to the pulsation of a bubble.
• Mathematical equations for a perfect plastic deformation of a thin metal plate have been carried out.
• The bubble behavior near the surface is numerically simulated and analyzed.
• The method eliminates the mechanical parts for deforming of thin metal plates.

In this paper dynamics of a vapour bubble generated due to a local energy input in the vicinity of a thin metal plate in the absence of the buoyancy forces is investigated. The bubble is initially generated in different distances from the surface and during its growth and collapse phases, it deforms the plate. The boundary Integral Equation Method is employed for numerical simulation of the problem. The fluid is assumed to be incompressible, inviscid and irrotational and the surface tension on the bubble boundary is neglected. Furthermore, the thin metal plate is assumed to have perfectly plastic behaviour. Results show that displacement of the thin metal plate has considerable effect on the dynamics of its nearby vapour bubble. It is also found that the collapse rate of the bubble in the vicinity of a deformable thin metal plate is higher than that of a rigid boundary and consequently the lifetime of the bubble near a deformable thin metal plate is shorter than the life time of the bubble near a rigid boundary. Deformation of the thin metal plate depends on the properties of the its nearby surface and the energy that has been imported by its nearby vapour bubble. Decreasing the density and the yield point stress of the plate, more plate deformation takes place.