Characteristics of Energy Dissipation in T-Shaped Fractured Rocks under Different Loading Rates

Abstract

T-shaped fractured rocks in the engineering rock mass with different inclination angles, quantities, and cross patterns will cause slope landslides, cavern collapse, roof fall, and other disasters under the action of external forces. Deformation evolution of the T-shaped fractured rock is also significant for monitoring the stability of rock engineering structures. In this paper, the compression test of T-shaped fracture specimens was carried out under different loading rates. By modulating both the fracture inclination angle and the loading rate, the attributes pertaining to energy dissipation in the T-shaped fractured specimen were scrupulously scrutinized and subsequently expounded upon. The difference in the energy characteristics between fractured rock and intact rock was investigated to understand the deformation evolution of T-shaped fractured rock samples. The results show that when the fracture angle is 45° and 90°, the elastic strain energy and dissipated energy decrease as the secondary fracture angle increases. At the peak point, as the secondary fracture angle increases from 0°, the total absorbed energy, elastic strain energy, and dissipated energy of the T-shaped fractured rock increase, the ratio Ue/U of elastic strain energy to total energy increases, and the ratio Ud/U of dissipated energy to total energy decreases. The increase in loading rate leads to an increase in Ue/U and a decrease in Ud/U at the peak point of the T-shaped fractured rock specimen. The increase in loading rate leads to an increase in the total absorbed energy and elastic energy at the peak point of the T-shaped fractured rock, while the dissipated energy decreases. Investigative endeavors into the mechanics and energetic attributes of T-shaped fractured rocks bestow pragmatic and directive significance upon the safety assessment and stability prognostication of sundry geological undertakings.

Strain Energy and Entropy Based Scaling of Buckling Modes

“…In thermodynamics, any equilibrium state can be characterized either as a state of maximum entropy for a given energy or as a state of minimum energy for a given entropy [30]. In structural mechanics, the strain energy and the principle of minimum total potential energy exist in many applications [31][32][33][34][35][36][37][38][39][40], but the principle of maximum entropy is not commonly considered. Equation ( 22) establishes a link between structural mechanics and thermodynamics.…”

Crash Behavior and Energy Absorption Characteristics of Thin S-Shaped Longitudinal Members

“…From the numerical simulation results, it can be seen that the loadbearing performance and energy absorption of the U-shaped steel support with a uniform load are better than those of the U-shaped steel support with a centralized load. Yong Zhang [9] et al studied the Characteristics of Energy Dissipation in T-Shaped Fractured Rocks under Different Loading Rates. It is found that with the increase in loading rate, the total absorbed energy and elastic energy at the peak point of the T-fractured rock specimen increase, but the dissipated energy decreases.…”