Fracture initiation from initial spherical flaws in incompressible propellant materials

Abstract

The scope of the present article is the study of the fracture initiation from initial spherical flaws in incompressible propellant materials. Using a constitutive law, derived from the neo-Hookean strain energy function, one may deduce the relation between the radial pressure applied at infinity and the corresponding extension ratio, at the surface of the cavity. An equation which defines the critical extension ratio for a given value of a parameter, κ, was derived and the corresponding critical load, pc, is related to the critical cavity extension ratio. Plots for the extension ratio and normalized pressure were provided solving the appropriate equation derived from the analysis.The failure of the cavity is associated with the incremental energy transfer at a constant critical stress between the applied work, internal strain energy and surface energy. The influence of the surface energy on the radial deformation of an initially intact sphere is presented and it turns out that a characteristic cavitation phenomenon occurs instead of the bifurcation. A mathematical formula is derived for the pressure, per unit current area, which is valid for a general form of incompressible elastic strain energy function. Using the derived formula one may deduce the relation between the radial pressure and the corresponding extension ratio at the surface of the cavity. In an incompressible material of given modulus and surface energy it is proved that a critical field stress exists at which a small internal cavity may grow in size where the significant quantities are the radial and tangential strains.

Force Field Parameters for Ammonium Perchlorate Validated Using Surface Energies and Applied to Interactions with Polymer Binder

“…When the polymeric binder ages and degrades over the time scale of years to decades, − the HTPB can delaminate from the AP surface. This delamination process can create microstructural features such as voids and facilitate crack propagation. , Because the thrust profile of a device is tuned to the characteristics of relatively fresh propellant, the evolution of microstructural features in the solid propellant due to aging and degradation can result in deviations from the thrust profile or even catastrophic failure. ,, …”

“…8,9 Because the thrust profile of a device is tuned to the characteristics of relatively fresh propellant, the evolution of microstructural features in the solid propellant due to aging and degradation can result in deviations from the thrust profile or even catastrophic failure. 8,10,11 Molecular simulation can provide atomic-level insight into the interactions of HTPB with various AP crystal facets to increase understanding of the physical phenomena that control AP−HTPB adhesion. While there have been a few molecular modeling studies of AP 12−17 and HTPB, 18−20 the available force fields were parametrized for the bulk materials rather than interfaces such as the AP−vacuum, HTPB−vacuum, and AP−HTPB interfaces.…”