[Seminar] Revisiting Stress Propagation in a Two-Dimensional Circular Disk and a Three-Dimensional Sphere Under Diametric Loading

Speaker:

Dr. Satoshi Takada, Associate Professor: Institute of Engineering,
Tokyo University of Agriculture and Technology.

Abstract:

We present a comprehensive study on stress propagation in a two-dimensional circular disk and a three-dimensional sphere under diametric loading.
We employ a scalar and vector potential approach to accurately describe the displacement and stress fields within these geometries, representing the solutions as expansions in terms of Bessel functions.
The coefficients of these expansions are determined in the Laplace space by systematically satisfying the boundary conditions.
Using residue calculus, we transform the inverse Laplace solutions into explicit expressions for the displacement and stress fields.
These expressions reveal the contributions of primary, secondary, and surface waves, offering a detailed characterization of stress propagation phenomena within the disk and sphere.
Our findings deepen the understanding of the mechanical behavior of disk- and sphere-shaped components, providing valuable insights for their design and optimization across various engineering applications.

Bio:

Dr. Satoshi Okada

2024/03 - Present Associate Professor: Institute of Engineering,
Tokyo University of Agriculture and Technology, Japan
2019/03 - 2024/02 Tenure-Track Associate Professor: Institute
of Engineering, Tokyo University of Agriculture andTechnology, Japan
2017/04 - 2019/02 Postdoctoral Fellow: Division of Theoretical
Geoscience, Earthquake Research Institute, The University of Tokyo, Japan
2016/04 - 2017/03 Postdoctoral Fellow: Phase Transition
Dynamics Group, Department of Physics I, Division of Physics
and Astronomy,
2016/03 Ph.D. in Science from Kyoto University, Japan

Zoom:

URL: https://oist.zoom.us/j/99991887406?pwd=bO9kxiYevGbqb3La5ubnxopF6UI1b7.1&from=addon

Meeting ID: 999 9188 7406

Passcode: 845921