Stress Solitary Waves Generated by a Second-Order Polynomial Constitutive Equation
| Main Authors: | Tsun-Hui Huang, Shyue-Cheng Yang, Chiou-Fen Shieha |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2014
|
| Online Access: |
https://zenodo.org/record/2813575 |
Daftar Isi:
- In this paper, a nonlinear constitutive law and a curve fitting, two relationships between the stress-strain and the shear stress-strain for sandstone material were used to obtain a second-order polynomial constitutive equation. Based on the established polynomial constitutive equations and Newton's second law, a mathematical model of the non-homogeneous nonlinear wave equation under an external pressure was derived. The external pressure can be assumed as an impulse function to simulate a real earthquake source. A displacement response under nonlinear two-dimensional wave equation was determined by a numerical method and computer-aided software. The results show that a suit pressure in the sandstone generates the phenomenon of stress solitary waves.