Improved theory of the elastic-plastic response of spherical containment vessels subjected to internal blast loading and its application

Abstract Baker built the displacement equations of motion for a thin spherical shell to spherically symmetric internal blast loading, and further provided analytical solution elastic-plastic response under triangular decaying pressure, neglecting thinning radius variation [1], which was widely used in fields analysis design explosion containment vessels. However, it appears that some improvements corrections are needed when we revisit this classic problem. In paper, shells is investigated mathematically. The complete three models developed. Then main ideas numerical methods presented, as well important procedures results by using Laplace transform techniques, convenient use generalize. Three typical examples solved exhibit differences between our improved theory Baker’s [1]. Furthermore, employed gain insights into regularities, including effect various degrees strain-hardening on maximum displacements impulsive loading duration perfectly plastic material.