Numerical modeling of nonsteady transient processes in a sphere with cavity subjected to internal dynamic load

Abstract

The article suggests a numerical algorithm for investigating shock-wave processes in a hollow sphere with limited thickness subjected to internal dynamic surface loads. On the example of actual boundary conditions the article evaluates the contribution of all groups of elastic waves to the formation of an overall structure of rapidly occurring wave processes within the medium under consideration. The effect of the boundary conditions on the distribution field of the components of displacements, speeds, strains and stresses across the hollow sphere upon multiple passage of stress waves was discovered, and some aspects of the realized numerical algorithm connected with the stability of the scheme were investigated.