scholarly journals Fracture Evaluation and Dynamic Stress Concentration of Granite Specimens Containing Elliptic Cavity under Dynamic Loading

Energies ◽  
2019 ◽  
Vol 12 (18) ◽  
pp. 3441 ◽  
Author(s):  
Ming Tao ◽  
Ao Ma ◽  
Kang Peng ◽  
Yiqing Wang ◽  
Kun Du
Keyword(s):  
Stress Concentration ◽  
Dynamic Loading ◽  
Stress Wave ◽  
Dynamic Stress ◽  
Axial Ratio ◽  
Dynamic Stress Concentration ◽  
Fracture Characteristics ◽  
Elliptical Cavity ◽  
Fracturing Process ◽  
Dip Angle

The Split-Hopkinson pressure bar (SHPB) was used to determine the fracture characteristics of a long bar rock specimen with an elliptical cavity under different axial ratios and dip angles. A high speed camera was applied to record the fracturing process of the granite specimen around the cavity. The experimental results showed that the fracture characteristics around the elliptical cavity were closely related to the axial ratio and dip angle. A three-dimensional numerical model was established using LS-DYNA to quantitatively analyze the dynamic stress state around the cavity. The numerical results indicate that the dip angle and axial ratio of the elliptical cavity significantly affected the dynamic stress concentration factor (DSCF), then affected the rock failure. The location of higher DSCF led to a higher possibility of spalling failure. The maximum DSCF remarkably decreased with a decreasing dip angle and increased the axial ratio. In the dynamic loading propagate process, the stress concentration distribution around the cavity formed by a compression stress wave had a certain damaging effect on the destruction of rock around the cavity, and the stress concentration generated by the tensile stress wave was the main factor of the rock fracture, which was most notable in the peak area of the stress concentration.

Dynamic Stress Concentration of a Cylindrical Cavity Buried in an Elastic Half-Plane Subjected to a Standing Goodier-Bishop Stress Wave

2002 ◽  
Author(s):  
C. S. Yeh ◽  
T. J. Teng ◽  
W. I. Liao ◽  
W. S. Shyu
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Stress Wave ◽  
Half Plane ◽  
Cylindrical Cavity ◽  
Dynamic Stress ◽  
Scattering Problem ◽  
Ground Surface ◽  
Radiation Condition ◽  
Dynamic Stress Concentration

In this paper, based on a expansion technique proposed by Yeh et al. (1995), the dynamic stress concentration of a cylindrical cavity buried in an elastic half-plane is studied. The cavity and the half-plane are excited by a harmonic standing Goodier-Bishop stress wave which, as a result of taking the normalized frequency tends to zero, is equivalent to a simple uniform static tension parallel to the ground surface. In the formulation, the scattered waves are represented by series expansion and their associated modal fields of the expansion satisfy the boundary conditions on the ground surface as well as the radiation condition at infinity, thus the scattering problem is reduced to the determination of the expansion coefficients by matching the boundary conditions on the cavity. Some numerical results for the dynamic hoop stresses around the wall of the cavity as well as the dynamic stress concentration factors with various buried depth and excitation frequencies are presented.

Dynamic Stress Concentration of a Cylindrical Cavity in Half-Plane Excited by Standing Goodier-Bishop Stress Wave

2012 ◽  
Vol 28 (2) ◽  
pp. 269-277 ◽  
Author(s):  
W.-I Liao ◽  
T.-J. Teng
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Stress Wave ◽  
Half Plane ◽  
Cylindrical Cavity ◽  
Dynamic Stress ◽  
Scattering Problem ◽  
Ground Surface ◽  
Wave Number ◽  
Dynamic Stress Concentration

AbstractBased on expansion technique, the dynamic stress concentration of a cylindrical cavity buried in an elastic half-plane is studied in the paper. The cavity and the half-plane are excited by a harmonic standing Goodier-Bishop stress wave which, as a result of taking the normalized frequency tends to zero, is equivalent to a simple uniform static tension parallel to the ground surface. In the formulation, the scattered waves are represented by a series expansion, and their associated modal fields of the expansion satisfy the boundary conditions on the ground surface as well as the radiation condition at infinity. As a consequence, the scattering problem is reduced to the determination of the expansion coefficients by matching the boundary conditions on the cavity. The numerical technique based on the steepest descent method is used to calculate the integral representation of potential functions in wave-number domain. Numerical results for the dynamic hoop stresses around the wall of the cavity and the dynamic stress concentration factors with various buried depth and excitation frequencies are presented.

Dynamic stress concentration around a hole in a viscoelastic plate

1995 ◽  
Vol 111 (1-2) ◽  
pp. 1-12 ◽  
Author(s):  
H. G. Georgiadis ◽  
A. P. Rigatos ◽  
N. C. Charalambakis
Keyword(s):  
Stress Concentration ◽  
Dynamic Stress ◽  
Viscoelastic Plate ◽  
Dynamic Stress Concentration

Dynamic Antiplane Interaction of Subsurface Circular Cavities in a Semi-Infinite Piezoelectric Medium

2009 ◽  
Author(s):  
Tianshu Song ◽  
Tamman Merhej ◽  
Qingna Shang ◽  
Dong Li
Keyword(s):  
Stress Concentration ◽  
Dynamic Stress ◽  
Numerical Solutions ◽  
Piezoelectric Medium ◽  
Dynamic Stress Concentration ◽  
Characteristic Parameters ◽  
Time Harmonic ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Piezoelectric Characteristic

In the present work, dynamic interaction is investigated theoretically between several circular cavities near the surface in a semi-infinite piezoelectric medium subjected to time-harmonic incident anti-plane shearing. The analyses are based upon the use of complex variable and multi coordinates. Dynamic stress concentration factors at the edges of the subsurface circular cavities are obtained by solving boundary value problems with the method of orthogonal function expansion. Some numerical solutions about two interacting subsurface circular cavities in a semi-infinite piezoelectric medium are plotted so as to show how the frequencies of incident wave, the piezoelectric characteristic parameters of the material and the structural geometries influence on the dynamic stress concentration factors.

scholarly journals Dynamic Stress Concentration in a Strip Plate with Fillet.

1997 ◽  
Vol 63 (616) ◽  
pp. 2532-2537
Author(s):  
Noboru NAKAYAMA ◽  
Masahiko OHASHI ◽  
Hiroyuku TAKEISHI
Keyword(s):  
Stress Concentration ◽  
Dynamic Stress ◽  
Dynamic Stress Concentration ◽  
Strip Plate
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