# Exploring the influence of rock bridge angle on the rock secant modulus

## TL;DR

This paper studies how the angle of rock bridges affects the rock's secant modulus, finding that the modulus decreases with increasing angle and size.

## Contribution

The study introduces new power function relationships between rock bridge angle, size, and secant modulus.

## Key findings

- Secant modulus decreases with increasing rock bridge angle following a power function.
- Secant modulus decreases and stabilizes as rock size increases, also following a power function.
- Characteristic tangent modulus and size decrease with increasing rock bridge angle.

## Abstract

Rock can undergo shape deformation and damage due to the influence of joint fissures, and the range of damage caused by joints at different rock bridge angles varies. To study the influence of rock bridge angle on the size effect of rock secant modulus, this paper adopts the principle of regression analysis and combines numerical simulation to carry out relevant research. The research results indicate that: (1) As the rock bridge angle increases, the secant modulus gradually decreases, following a power function relationship. (2) As the rock size increases, the secant modulus shows a trend of first decreasing and then stabilizing, following a power function relationship. (3) As the rock bridge angle increases, the characteristic tangent modulus and characteristic size gradually decrease, following a power function relationship. On this basis, we obtained their relationship formulas separately.