According to the generalized Hooke Law, the elastic strain energy
released from the unit rock mass under the triaxial compression test is (Xie et al., 2011):
The elastic strain energy
of the ith beam element is:
During the compressive test, the work done by the external load on the rock sample U is partly transformed into the elastic strain energy
[U.sub.e] that can be released and partly dissipated by the nonlinear mechanism inside the sample.
According to energy theory, the rock dynamic elastic modulus is the embodiment of dynamic elastic parameters under dynamic load, and its value reflects the quality of rock's elastic bearing performance; the rock damping ratio represents the ratio of the total energy consumed by the rock to its elastic strain energy
during the single loading period.
For each specimen, three major factors , including energy dissipation ([E.sub.h]), elastic strain energy
([E.sub.e]), and equivalent viscous damping ratio ([[xi].sub.eq]), were calculated for each hysteric loop with MATLAB.
in their study "Stability Analysis of Water-Resistant Strata in Karst Tunnel Based on Releasable Elastic Strain Energy
." In this paper, the energy instability criterion of water-resistant strata and rock mass failure index (RMFI) are proposed based on releasable elastic strain energy
[Ue.sup..] The RMFI is employed to represent the damage extent of water-resistant strata.
where U is the total energy stored in the infinite plate, [U.sub.t] represents the initial total elastic strain energy
, [U.sub.c] is the total elastic strain energy
released by the crack on the upper and lower surfaces of the crack length of 2a, W is the work performed by the external force, and [U.sub.s] is the free surface energy.
Remembering now that the stress can also be thought of as an energy density, we can ask, What is the contribution of the singular stress field near the crack to the total elastic strain energy
in the solid?
As the high elastic strain energy
accumulated in the rock masses is greater than the energy consumed by rock failure, imbalance of the rock mass structure occurs and the excess energy causes the rock to explode and emitted rock debris", he explained.
In the relation above value of [E.sub.D] is absorbed energy inside full loop which corresponds complete level of a cycle ([A.sub.loop]) and [E.sub.S0] is elastic strain energy
corresponds force maximum ([F.sub.max]) and displacement ([D.sub.max])obtained in a cycle of cyclic graph which have been shown on the following force-displacement figure (figure
With the advance of mining extraction, elastic strain energy
gradually accumulates in front coal body of mining face.