Two-Dimensional Dynamic Stress Behavior of Sheet Glass Caused by a Continuous Step Input from a Cylindrical Loader

Abstract

The distribution of dynamic stress in sheet glass, stress which is caused by a continuous step input from a cylindrical loader, was estimated by considering elastic wave propagation. In modeling the dynamic stress behavior, we used a two-dimensional dynamic stress model combining a plane stress model and the equations of motion. A finite-difference method was used in the numerical calculation. Under damped vibration mode conditions, the dynamic stress behavior in the sheet glass was investigated in both the depth (Z) and horizontal (X) directions. The stress component in the Z direction changed from tensile to compressive near the outside glass surface of the contact stress distribution. The stress component in the X direction changed from compressive to tensile in the Z direction under the glass surface at the center of the contact stress distribution. The overshoot of the dynamic stress in the Z direction was 1.8 times that of the steady stress during an elapsed time of less than 1 ns from the beginning of loading.