Elastic wave propagation in non-uniform rational B-spline rods under mechanical impact loading using an isogeometrical approach

One-dimensional elastic wave propagation under quadratic impact loading in a rod with a variable cross section and material distribution is the subject of this study. The material distribution of the problem under investigation as well as the variations of the geometry was elucidated with non-uniform rational B-spline (NURBS). The problem was analyzed employing the isogeometric approach in order to ensure precise modeling of the geometry. The effects of impact loading, cross sectional area, material distribution, and radial inertia on elastic waves were examined in this study. In addition, propagation, reflections, and propagation speed along the axis were investigated. It was observed that the speed was not constant along the axial direction. Also, the cross sectional area had more effect on the amplitude of the elastic wave than the radial inertia. Furthermore, it was concluded that the material distribution and radial inertia may influence the wave propagation speed.

Poisson‘s Ratio Induced Radial Inertia Confinement During Dynamic Compression of Hyperelastic Foams

Hyperelastic foams have excellent impact energy absorption capability and can experience full recovery following impact loading. Consequently, hyperelastic foams are selected for different applications as shock isolators. Obtaining accurate intrinsic dynamic compressive properties of the hyperelastic foams has become a crucial step in shock isolation design and evaluation. Radial inertia is a key issue in dynamic characterization of soft materials. Radial inertia induced stress in the sample is generally caused by axial acceleration and large deformation applied to a soft specimen. In this study, Poisson’s ratio of a typical hyperelastic foam – silicone foam – was experimentally characterized under high strain rate loading and was observed to drastically change across the densification process. A transition in the Poisson’s ratio of the silicone foam specimen during dynamic compression generated radial inertia which consequently resulted in additional axial stress in the silicone foam sample. A new analytical method was developed to address the Poisson’s ratio-induced radial inertia effects for hyperelastic foams during high rate compression.

Effect of Radial Inertia Confinement on Dynamic Compressive Strength of Concrete in SHPB Tests

This paper extends the study of Dharan on the stress state in an elastic solid specimen subjected to axial strain acceleration to compressible materials. And an improved Dharan model is presented. Based on the Drucker-Prager strength criterion, analytical equations of the radial inertia confinement effect on dynamic compressive strength of concrete in split Hopkinson pressure bar tests is derived. Comparison and discussion on the analytical, experimental and numerical results are performed. It is proved that the strain rate effect of compressive strength of concrete materials is a pseudo material property partly caused by the radial inertia confinement. Special attentions should be paid to dynamic tests of low-strength concrete to get the real mechanical properties.